Physics: for Science.. With Modern. -Up...9th EditionSERWAY Publisher: CENGAGE LISBN: 9781305864566
Physics: for Science.. With Modern. -Up...
Solutions for Physics: for Science.. With Modern. -Update (Looseleaf)
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Chapter 1 - Physics And MeasurementChapter 1.1 - Standards Of Length, Mass, And TimeChapter 1.3 - Dimensional AnalysisChapter 1.4 - Conversion Of UnitsChapter 2 - Motion In One DimensionChapter 2.1 - Position, Velocity, And Speed Of A ParticleChapter 2.2 - Instantaneous Velocity And SpeedChapter 2.4 - AccelerationChapter 2.5 - Motion DiagramsChapter 2.6 - Analysis Model: Particle Under Constant Acceleration
Chapter 2.7 - Freely Falling ObjectsChapter 3 - VectorsChapter 3.2 - Vector And Scalar QuantitiesChapter 3.3 - Some Properties Of VectorsChapter 3.4 - Components Of Vector And Unit VectorsChapter 4 - Motion In Two DimensionsChapter 4.1 - The Position, Velocity, And Acceleration VectorsChapter 4.3 - Projectile MotionChapter 4.4 - Analysis Model: Particle In Uniform Circular MotionChapter 4.5 - Tangential And Radial AccelerationChapter 5 - The Laws Of MotionChapter 5.2 - Newton's First Law And Inertial FramesChapter 5.4 - Newton's Second LawChapter 5.5 - The Gravitational Force And WeightChapter 5.6 - Newton's Third LawChapter 5.8 - Force Of FrictionChapter 6 - Circular Motion And Other Applications Of Newton's LawsChapter 6.1 - Extending The Particle In Uniform Circular Motion ModelChapter 6.2 - Nonuniform Circular MotionChapter 6.3 - Motion In Accelerated FramesChapter 6.4 - Motion In The Presence Of Resistive ForcesChapter 7 - Energy Of A SystemChapter 7.2 - Work Done By A Constant ForceChapter 7.3 - The Scalar Product Of Two VectorsChapter 7.4 - Work Done By A Varying ForceChapter 7.5 - Kinetic Energy And The Work-kinetic Energy TheoremChapter 7.6 - Potential Energy Of A SystemChapter 7.8 - Relationship Between Conservative Forces And Potential EnergyChapter 8 - Conservation Of EnergyChapter 8.1 - Analysis Model: Nonisolated System(energy)Chapter 8.2 - Analysis Model: Isolated System(energy)Chapter 8.3 - Situations Involving Kinetic FrictionChapter 9 - Linear Momentum And CollisionsChapter 9.1 - Linear MomentumChapter 9.3 - Analsis Model: Nonisolated System(momentum)Chapter 9.4 - Collisions In One DimensionChapter 9.6 - The Center Of MassChapter 9.7 - Systems Of Many ParticlesChapter 10 - Rotation Of A Rigid Object About A Fixed AxisChapter 10.1 - Angular Position, Velocity, And AccelerationChapter 10.2 - Analysis Model: Rigid Object Under Constant Angular AccelerationChapter 10.3 - Angular And Translational QuantitiesChapter 10.4 - TorqueChapter 10.5 - Analysis Model: Rigid Object Under A Net TorqueChapter 10.7 - Rotational Kinetic EnergyChapter 10.9 - Rolling Motion Of A Right ObjectChapter 11 - Angular MomentumChapter 11.1 - The Vector Product And TorqueChapter 11.2 - Analysis Model: Nonisolated System(angular Momentum)Chapter 11.3 - Angular Momentum Of A Rotating Rigid ObjectChapter 11.4 - Analysis Model: Isolated System(angular Momentum)Chapter 12 - Static Equilibrium And ElasticityChapter 12.1 - Analysis Model: Rigid Objects In EquilibriumChapter 12.2 - More On The Center Of GravityChapter 12.4 - Elastic Properties Of SolidsChapter 13 - Universal GravitationChapter 13.1 - Newton's Law Of Universal GravitationChapter 13.2 - Free-fall Acceleration And The Gravitational ForceChapter 13.4 - Kepler's Laws And The Motion Of PlanetsChapter 13.6 - Energy Considerations In Planetary And Satellite MotionChapter 14 - Fluid MechanicsChapter 14.1 - PressureChapter 14.2 - Variation Of Pressure With DepthChapter 14.3 - Pressure MeasurementsChapter 14.4 - Buoyant Forces And Archimedes's PrincipleChapter 14.6 - Bernoulli's EquationChapter 15 - Oscillatory MotionChapter 15.1 - Motion Of An Object Attached To A SpringChapter 15.2 - Analysis Model: Particle In Simple Harmonic MotionChapter 15.4 - Comparing Simple Harmonic Motion With Uniform Circular MotionChapter 15.5 - The PendulumChapter 16 - Wave MotionChapter 16.1 - Propagation Of A DisturbanceChapter 16.2 - Analysis Model: Traveling WaveChapter 16.3 - The Speed Of Waves On StringChapter 16.5 - Rate Of Energy Transfer By Sinusoidal Waves On StringsChapter 17 - Sound WavesChapter 17.1 - Pressure Variations In Sound WavesChapter 17.3 - Intensity Of Periodic Sound WavesChapter 17.4 - The Doppler EffectChapter 18 - Superposition And Standing WavesChapter 18.1 - Analysis Model: Waves In InterferenceChapter 18.2 - Standing WavesChapter 18.3 - Analysis Model: Waves Under Boundary ConditionsChapter 18.5 - Standing Waves In Air ColumnsChapter 19 - TemperatureChapter 19.1 - Temperature And The Zeroth Law Of ThermodynamicsChapter 19.3 - The Constant-volume Gas Thermometer And The Absolute Temperature ScaleChapter 19.4 - Thermal Expansion Of Solids And LiquidsChapter 19.5 - Macroscopic Description Of An Ideal GasChapter 20 - The First Law Of ThermodynamicsChapter 20.2 - Specific Heat And CalorimetryChapter 20.3 - Latent HeatChapter 20.6 - Some Applications Of The First Law Of ThermodynamicsChapter 20.7 - Energy Transfer Mechanisms In Thermal ProcessesChapter 21 - The Kinetic Theory Of GasesChapter 21.1 - Molecular Model Of An Ideal GasChapter 21.2 - Molar Specific Heat Of An Ideal GasChapter 21.3 - The Equipartition Of EnergyChapter 22 - Heat Engines, Entropy, And The Second Law Of ThermodynamicsChapter 22.1 - Heat Engines And The Second Law Of ThermodynamicsChapter 22.2 - Heat Pumps And RefrigeratorsChapter 22.4 - The Carnot EngineChapter 22.6 - EntropyChapter 22.7 - Changes In Entropy For Thermodynamic SystemsChapter 23 - Electric FieldsChapter 23.1 - Properties Of Electric ChargesChapter 23.2 - Charging Objects By InductionChapter 23.3 - Coulomb's LawChapter 23.4 - Analysis Model: Particle In A Field(electric)Chapter 23.6 - Electric Field LinesChapter 24 - Gauss’s LawChapter 24.1 - Electric FluxChapter 24.2 - Gauss's LawChapter 25 - Electric PotentialChapter 25.1 - Electric Potential And Potential DifferenceChapter 25.2 - Potential Difference In A Uniform Electric FieldChapter 25.3 - Electric Potential And Potential Energy Due To Point ChargesChapter 25.4 - Obtaining The Value Of The Electric Field From The Electric PotentialChapter 26 - Capacitance And DielectricsChapter 26.1 - Definition Of CapacitanceChapter 26.2 - Calculating CapacitanceChapter 26.3 - Combinations Of CapacitorsChapter 26.4 - Energy Stored In A Charged CapacitorChapter 26.5 - Capacitors With DielectricsChapter 27 - Current And ResistanceChapter 27.1 - Electric CurrentChapter 27.2 - ResistanceChapter 27.4 - Resistance And TemperatureChapter 27.6 - Electrical PowerChapter 28 - Direct-current CircuitsChapter 28.1 - Electromotive ForceChapter 28.2 - Resistors In Series And ParallelChapter 28.4 - Rc CircuitsChapter 29 - Magnetic FieldsChapter 29.1 - Analysis Model: Particle In A Field(magnetic)Chapter 29.2 - Motion Of Charged Particle In A Uniform Magnetci FieldChapter 29.4 - Magnetci Force Acting On A Current-carrying ConductorChapter 29.5 - Torque On A Current Loop In A Uniform Magnetic FieldChapter 30 - Sources Of The Magnetic FieldChapter 30.1 - The Biot-savart LawChapter 30.2 - The Magnetic Force Between Two Parallel ConductorsChapter 30.3 - Ampere's LawChapter 30.4 - The Magnetic Field Of A SolenoidChapter 31 - Faraday's LawChapter 31.1 - Faraday's Law Of InductionChapter 31.2 - Motional EmfChapter 31.3 - Lenz's LawChapter 31.5 - Generators And MotorsChapter 31.6 - Eddy CurrentsChapter 32 - InductanceChapter 32.1 - Self-induction And InductanceChapter 32.2 - Rl CircuitsChapter 32.3 - Energy In A Magnetic FieldChapter 32.4 - Mutual InductanceChapter 32.5 - Oscillations In An Lc CircuitChapter 33 - Alternating-current CircuitsChapter 33.2 - Resistors In An Ac CircuitChapter 33.3 - Inductors In An Ac CircuitChapter 33.4 - Capacitors In An Ac CircuitChapter 33.5 - The Rlc Series CircuitChapter 33.6 - Power In An Ac CircuitChapter 33.7 - Resonance In A Series Rlc CircuitChapter 34 - Electromagnetic WavesChapter 34.1 - Displacement Current And The General Form Of Ampere's LawChapter 34.3 - Plane Electromagnetic WavesChapter 34.5 - Momentum And Radiation PressureChapter 34.6 - Production Of Electromagnetic Waves By An AntennaChapter 34.7 - The Spectrum Of Electromagnetic WavesChapter 35 - The Nature Of Light And The Principles Of Ray OpticsChapter 35.4 - Analysis Model: Wave Under ReflectionChapter 35.5 - Analysis Model: Wave Under RefractionChapter 35.7 - DispersionChapter 35.8 - Total Internal ReflectionChapter 36 - Image FonnationChapter 36.1 - Images Formed By Flat MirrorsChapter 36.2 - Images Formed By SphericalmirrorsChapter 36.3 - Images Formed By RefractionChapter 36.4 - Images Formed By Thin LensesChapter 36.6 - The CameraChapter 36.7 - The EyeChapter 37 - Wave OpticsChapter 37.2 - Analysis Model:waves In InterferenceChapter 37.3 - Intensity Distribution Of The Double-slit Interference PatternChapter 37.5 - Interference In Thin FilmsChapter 38 - Diffraction Patterns And PolarizationChapter 38.2 - Diffraction Patterns Firom Narrow SlitsChapter 38.3 - Resolution Of Single-slit And Circular AperturesChapter 38.4 - The Diffraction GratingChapter 38.6 - Polarization Of LightwavesChapter 39 - RelativityChapter 39.1 - The Principle Of Galilean RelativityChapter 39.4 - Consequences Of The Special Theory Of ReativityChapter 39.6 - The Lorentz Velocity Transformation EquationsChapter 39.8 - Relativistic EnergyChapter 40 - Introduction To Quantum PhysicsChapter 40.1 - Blackbody Radiation And Planck’s HypothesisChapter 40.2 - The Photoelectric EffectChapter 40.3 - The Compton EffectChapter 40.5 - The Wave Properties Of ParticlesChapter 40.6 - A New Model: The Quantum ParticleChapter 41 - Quantum MechanicsChapter 41.1 - The Wave FunctionChapter 41.2 - Analysis Model: Quantum Particle Under Boundary ConditionsChapter 41.5 - Tunneling Through A Potential Energy BarrierChapter 42 - Atomic PhysicsChapter 42.3 - Bohr’s Model Of The Hydrogen AtomChapter 42.4 - The Quantum Model Of The Hydrogen AtomChapter 42.8 - More On Atomic Spectra: Visible And X-rayChapter 43 - Molecules And SolidsChapter 43.1 - Molecular BondsChapter 43.2 - Energy States And Spectra Of MoleculesChapter 44 - Nuclear StructureChapter 44.1 - Some Properties Of NucleiChapter 44.5 - The Decay ProcessesChapter 45 - Applications Of Nuclear PhysicsChapter 45.1 - Interactions Involving NeutronsChapter 45.2 - Nuclear FissionChapter 45.3 - Nuclear ReactorsChapter 45.4 - Nuclear FusionChapter 46 - Particle Physics And CosmologyChapter 46.2 - Positrons And Other AntiparticlesChapter 46.5 - Conservation LawsChapter 46.8 - Quarks
Book Details
Achieve success in your physics course by making the most of what PHYSICS FOR SCIENTISTS AND ENGINEERS Ninth Edition Technology Edition has to offer. From a host of in-text features to a range of outstanding technology resources, you'll have everything you need to understand the natural forces and principles of physics. Throughout every chapter, the authors have built in a wide range of examples, exercises, and illustrations that will help you to understand the laws of physics AND succeed in your course!
Sample Solutions for this Textbook
We offer sample solutions for Physics: for Science.. With Modern. -Update (Looseleaf) homework problems. See examples below:
To check which measurements are agreeing with the student measurement, need to compare each and...Chapter 1, Problem 14PSection 1: To determine: The density of the aluminum sphere. Answer: The density of the aluminum...Chapter 1, Problem 32PExplanation: Given information: The d is made three times larger. The given equation for thermal...The experimental point is denoted by a circle and the point under consideration is the one which...Write the relation between the density, radius and length of a solid cylinder. ρ=mπr2h Here, ρ is...Chapter 1, Problem 64APThe figure 1 below shows the location of the cow A, cow B and the person. Use the law of cosine to...
There are five intervals between the initial and final and starting from the first drop. The each...Chapter 2, Problem 17PChapter 2, Problem 18PChapter 2, Problem 19PChapter 2, Problem 42PChapter 2, Problem 46PWrite the equation for acceleration. `a=ΔvΔt Here, a is the acceleration, Δv is the change in...Let yi be the initial position and yf be the final position of the stone. Thus the displacement of...Kathy leaves the starting line 1.00 s after the start of Stan. Let tk be the time of travel of Kathy...Write the equation for time interval. (Δt)=t2−t1 (I) Here, (Δt) is the time interval, t1 is the time...Write the expression for the final position of the nose of the car. x=x0+v0t+12at2 (I) Here, x is...Chapter 2, Problem 83CPChapter 3, Problem 1OQWrite the equation to find sum of two vectors in component form. A→+B→=(Axi^+Ayj^)+(Bxi^+Byj^) Here,...Chapter 3, Problem 26PSection 1: To determine: The magnitude of D→=A→+B→+C→ . Answer: The magnitude of D→=A→+B→+C→ is 2.83...Chapter 3, Problem 40PGiven information: The velocity of hurricane for the first 3 hours is 41.0 km/h with a direction of...Section 1: To determine: The horizontal position of point A that must be at a fraction f of the...Write the expression for A→ in terms of cos and sine of angles. A→=(x1cosθ1 i^+y1sinθ1j^) (I) Here,...Chapter 3, Problem 67CPAs the car moves from point 1 to point 2, its speed doubles. Consider that speed at point 1 is v and...Draw the figure according to given condition as. Consider that system has three vectors. Write the...Chapter 4, Problem 3PChapter 4, Problem 8PAs per given condition in the problem, this case is related to constant acceleration According to...Chapter 4, Problem 24PThe initial velocity is divided into two components that is horizontal and vertical velocity...Draw the below figure for this condition as. This is the case of projectile motion. Before the...Chapter 4, Problem 72APChapter 4, Problem 73APDraw the below figure as per given instruction. The car has acceleration while it is on the slope...Chapter 5, Problem 1OQChapter 5, Problem 15PThe forces on the object are acting in the two direction so the acceleration of the object will be...Chapter 5, Problem 22PThe car pulls the trailer with a particular force which provides the acceleration to the car in the...The tension forces acting on the wires due to the load hanging from the wires is as shown below....The slope of the speed versus time graph gives the magnitude of the acceleration. Consider positive...Chapter 5, Problem 64PChapter 5, Problem 76APChapter 5, Problem 79APThe system is in equilibrium, so force on either sides of the pulley must be the same. Write the...The force acting ion the object provides acceleration to it and due to this acceleration; the object...Chapter 5, Problem 98CPChapter 5, Problem 99CPWrite the expression to calculate the acceleration of the block along an inclined plane. a=gsinθ...The boy moves with constant velocity around the whole track. The passes through various regions in...Consider the fully loaded roller-coaster car is moving on a curved path which has a radius of...When an object passes through the air it experiences drag force due to the air. The drag force is...Chapter 6, Problem 34PWrite the expression for the angular speed of the luggage as. ω=2πT (I) Here, ω is the angular speed...Write the expression for the slope of the graph line. s=(y2−y1)(x2−x1) (I) Here, s is the slope of...Chapter 6, Problem 67CPChapter 6, Problem 68CPWrite the expression for the magnitude of resistive force exerted on a sphere. F= arv + br2v2 (I)...Consider the speed of the carrier is negligible while it is lifted. As Alex lifts his cabinet...Chapter 7, Problem 39PConservative forces are the forces whose work done depends on the initial and final position and not...Chapter 7, Problem 45PWork done by internal forces of a system is equal to negative of change in potential energy of the...As steel ball is modelled as a spring this shows elastic behavior of the ball, so to calculate...Given Information: The mass of an object is 5.00 kg , the magnitude of the first force is 25.0 N at...Chapter 7, Problem 63APChapter 7, Problem 66CPWhen the puck is set into circular motion then force applied by the spring must be equal to...The kinetic energy provided by slingshot is same for the pebble as well as to the bean. Write the...Draw the figure fir the system as shown below. In this system block is pulled to some distance and...In the system elastic potential energy is due to the spring and as friction force is acting on the...Write the expression for average power Pav=WΔt (I) Here, Pav is the average power, W is the work...Refer to Figure P8.61; Total energy of the system remains conserved at every point in the system....Consider sled-chute-earth as an isolated system. Since, there is no friction force acting on the...Consider the needle-spring-body as a system. Since there are resisting forces when the needle moves...Chapter 8, Problem 80CPConsider the horizontal motion of Jane, as shown in figure (I) Jane moves from initial point to...Consider the ball-string-wind as a system under gravitational force. Since the work done by the wind...Consider the body-cord-baloon as a isolated system under gravitation force. Since the potential...When the lab partner throws a heavy frisbee. It comes with high momentum and collides with the hand....Impulse experienced by the athlete is caculated from expression of impulse force law . Write the...Position of the puck before collision. After the collision of two puck, resolve the component of...Atomic nucleous splits into three particles hence their momentum remains conserved as no extrenal...Chapter 9, Problem 52PChapter 9, Problem 54PChapter 9, Problem 64PChapter 9, Problem 69APWrite the expression for the conservation of energy for m1 . Ki+Ui=Kf+Uf (I) Here Ki is the initial...Chapter 9, Problem 83APChapter 9, Problem 87APIn collision of the bullet with the block the momentum of the system remains conserved. Write the...Given information: The mass of the object is 3 kg , the velocity of the object is 7j^ m/s and the...The wheel has clicked 320 times i.e. it has made 320 revolutions. Write the expression for the...Chapter 10, Problem 26PWrite the expression for torque for wheel. τ=Iα (I) Here, τ is the torque, I is the moment of...Strings experiences tension due to different masses the Mass m1 is greater than m2 hence, m1 moves...Chapter 10, Problem 44PChapter 10, Problem 47PThe change in kinetic energy of the system is equal to the net work done on the system. Only...Redraw the figure P10.54. Consider that the vertically standing to be initial position and...Chapter 10, Problem 64PGiven information: The mass of car is 800 kg , mass of counterweight is 950 kg , mass of pulley is...Given information: The mass of hour hand is 60 kg , mass of minute hand is 100 kg , length of hour...For calculation of gravitational energy, rigid body can be modeled as particle at center of mass....Given information: The diameter of the flywheel must be no more than 18.0 cm and the length is not...Write the expression for angular momentum of an object. L=Iω (I) Here, L angular momentum of the...Write the expression for cross product of two vectors A→ and B→ as....Write the expression for the magnitude of A→ the vector as. A=(Ax)2+(Ay)2+(Az)2 (I) Here, Ax is...Chapter 11, Problem 20PGiven information: The mass of sign is 2.40 kg , the vertical length of sign is 50 cm , the maximum...Write the expression for angular momentum for an object as. L=mBrvi (I) Here, L is the angular...Given information: The mass of Jacob is 45.0 kg , the mass of Ethan is 31.0 kg , the speed of Jacob...Conclusion: The mass is moving to the right with linear velocity, as it strikes to a stationary rod...For the particle under the net force model the net force will be the rate of change of linear...In this case, the skyscraper is about 300 m tall and the gravitational field is weaker at the top...Write the first condition for equilibrium, the magnitude of the net external force on the object...Chapter 12, Problem 18PChapter 12, Problem 20PChapter 12, Problem 38APChapter 12, Problem 40APChapter 12, Problem 51APChapter 12, Problem 54APChapter 12, Problem 56APWrite the expression for the total potential energy. U=U12+U13+U14+U15+U23+U24+U25+U34+U35+U45 Here,...Chapter 13, Problem 13PWrite the expression for time period. T=2π(rE+h)v (I) Here, T is the time period, h is the distance...Given info: The initial speed of the vehicle is vi , the escape speed of space vehicle is vesc and...Chapter 13, Problem 60APInitially both planets will have zero potential and kinetic energy. Write expression for the...Chapter 13, Problem 62APExplanation: Given information: The maximum distance from the Earth to the Sun is 1.521×1011 m and...Given information: The mass of the satellite is 100 kg . The initial altitude of the satellite is...Explanation: Given information: A object of mass m is distance from the Earth’s center is 1.20×107 m...Write the equation for total energy, E=12mvp2−GMEmrp (I) Here, E is the total energy, m is the mass...It is mentioned that both dams are of equal width. The first dam holds back a large lake and the...Given that the dimension of the pool is 30.0 m×10.0 m, the depth of the pool is 2.00 m. Write the...Observe Figure P14.15 given in the question. Figure 1 shown below gives the value of height and...Chapter 14, Problem 27PGiven that the diameter of the hose is 6.60 cm, the diameter of the nozzle is 2.20 cm, the water...Explanation: Given information: The mass of the balloon is 0.250 kg tied to a uniform length 2.00 m...Chapter 14, Problem 64APThe weight of the iron block is balanced by the sum of tension on spring and the buoyant force...The weight of the iron block is balanced by the sum of tension on spring and the buoyant force...Chapter 14, Problem 78APGiven that the diameter of the faucet tap is 2.00 cm, the diameter of the main pipe is 6.00 cm, the...Three figures showing the three stages of the U tube is given below. The first figure shows water...The ice cube is floating in a glass of ice cold water. According to Archimedes principle the upward...Write the equation to find the time period of simple pendulum. T=2πlg Here, T is the time period, l...Chapter 15, Problem 13PChapter 15, Problem 15PGiven that the force constant of the spring is 35.0 N/m, and the amplitude of motion is 4.00 cm....Given that the force is 20.0 N, and the displacement from equilibrium position is 0.200 m. Since the...Chapter 15, Problem 30PSection 1: To determine: The amplitude of the motion. Answer: The maximum speed of the amplitude of...Write the expression for the time period of oscillation of a simple pendulum. T=tn (I) Here, T is...Given that the mass of the oscillating object is 10.65 kg, the spring constant is 2.05×104 N/m, the...Given that the mass of rod and ball is equal to M. The tension at the pivot point is equal to the...Chapter 15, Problem 71APChapter 15, Problem 84CPWrite the expression for the speed of the wave in terms of tension and mass per unit length. υ=Tμ...Write the general expression for a sinusoidal wave. y=Asin(kx−ωt+ϕ) (I) Here, A is the amplitude, k...Write the expression for the angular frequency of the wave. ω=2πf (I) Here, f is the frequency of...Writ the expression for frequency. f=υλ (I) Here, f is the frequency, λ is the wavelength, and υ is...Write the general expression for wave function of a wave moving in positive x direction....The standard expression for the wave function of a wave is. y(x,t)=Asin(kx+ωt+ϕ) (I) Here, A is the...Any function is a solution of linear wave equation in general if it satisfies the equation...Write the expression for the power transmitted. P=12μω2A2υ (I) Here, μ is the mass per unit length,...Given Info: The wave function for string is given as, y(x,t)=(A0e−bx)sin(kx−ωt) Formula to calculate...In case of solids the neighboring particles are tightly packed as compared to liquids and gases....Write the expression for wavelength. λ=υf (I) Here, υ is the speed, f is the frequency, and λ is the...Write the expression for maximum linear speed in terms of angular frequency. υmax=ωA (I) Here, ω is...Given info: The given wave function is, ΔP(r,t)=(25.0r)sin(1.36r−2030t) (1) The standard form wave...Write the expression for compressional wave. υ=Yρ (I) Here, υ is the speed of the compressional...When a hammer is used at one end, the sound can travel through both metal rod and air. The speed of...The time taken by the wave to travel a length L is. t=Lυ (I) Here, L is the length of the rod, and υ...Write the expression for the frequency of sound heard by the passengers in the car....The figure 1 below is the force diagram, which shows that the force exerted on the left and right...The wave front that passes the observer is spherical. Consider T as the source of vibration, and TMW...Initially, the sliding section is moved a distance of 0.1 m, the extra path length the wave has to...Chapter 18, Problem 11PIntroduction: The values of y varies in sinusoidal form. Initially it increases from zero to its...Find the wavelength for standing waves of the 6 loops. L=6(λ2) Here, L is the length of the cord...The expression for given wave function is, y=0.00200sin(πx)cos(100πt) Here, y is the position of the...Given info: The dimension of the shower stall is 86.0 cm×86.0 cm×210 cm . The range of frequencies...Here, the well acts like a pipe open at one end and closed at the other end. The normal mode of...Chapter 18, Problem 70APWrite the expression for tension in the string (Refer Figure 18.11a). T1=mg (I) Here, T1 is the...Write the expression for mass per unit length wire. μ=mL (I) Here, μ is the linear density, m is the...Write the relation between mass and density. m=ρV (I) Here, m is the mass of the copper cylinder, ρ...The length is changing with temperature. Here, the measurement of length during 22°C will be...Write the equation of new length. L=Li(1+α(T2−T1)) (I) Here, L is the new length, Li is the initial...Write the equation of volume that overflows. (ΔV)=(β−3α)Vi(T2−T1) (I) Here, (ΔV) is the amount of...Write the equation from ideal gas equation for the top portion. PtVt=nRT (I) Here, Vt is the volume...The diagram for the three metal bars is depicted below. Write the equation angle from trigonometry....Chapter 19, Problem 57APWrite the equation length under tension for steel. L′s=Ls[1+FYsAs] (I) Here, L′s is the new length...Write the equation for the mass per unit length. μ=14ρ(πd2) (I) Here, μ is the mass per unit length,...Write the equation for the distance that will move down. (Δh)=hi−h′ (I) Here, (Δh) is the difference...Write the equation for the elementary change in length. dL=αLdT (I) Here, dL is the infinitesimal...Given info: The angle made by the roof with the horizontal plane is θ , the initial temperature is...The ideal gas is compressed to half of its initial volume by isothermal, adiabatic, isobaric...Given info: The mass of the calorimeter is 100 g , the mass of water in calorimeter is 250 g , the...The heat lost from the oxygen at higher temperature must be equal to the heat gained by oxygen at...Chapter 20, Problem 18PSince the gas goes through a cyclic process, the net change in internal energy of the gas must be...Write the equation of first law of thermodynamics. (ΔEint)ABC=QABC+WABCQABC=(ΔEint)ABC−WABC (I)...Given info: The mass of one bullet is 12.0 g , mass of second bullet is 8.00 g , speed of one bullet...Chapter 20, Problem 65APGiven info: The area of photosphere is 5.14×1014 m2 , The coefficient of emissivity for sun is 0.965...Write the equation for kinetic energy, Ki=12mvi2 (I) Here, Ki is the initial kinetic energy, m is...A piston-cylinder apparatus of cylinder radius r=7.50 cm and piston mass of m=3.00 kg sits on the...Let the rate of energy transfer is P , radius of the spherical surface is r , the elemental...Write the expression for rms speed of the oxygen gas molecules. vrms,1=3RT1M1 (I) Here, vrms,1 is...Write the expression from ideal gas law. PV=nRT (I) Here, P is the pressure of the gas, V is the...Write the expression for volume of the cylinder. Vi=πr2h Here, Vi is initial volume of the air in...An adiabatic process occurs without transfer of heat or mass of substance between a thermodynamic...(a) Since an isobaric process occurs at constant pressure. an isobaric expansion of a gas requires...Write the expression from ideal gas law. PiVi=nRTi (I) Here, Pi is the initial pressure of the gas,...Write the expression for volume of the particle. V=43πr3 (I) Here, r is radius of the particle....Introduction: The Maxwell distribution curve is the graph between the distribution of speed and the...Write the expression from ideal gas law. PV=nRT Here, P is the pressure, V is the volume, n is the...Given information:Value of average speed is vmp50.0 . Write the expression for the Maxwell-Boltzmann...Second law of thermodynamics states that external work is necessary to pump heat from lower...Write the expression for the input energy of the gasoline for a particular time interval....Write the pressure volume relation in adiabatic expansion. PiViγ=PfVfγ (I) Here, Pi is the initial...Consider the adiabatic process D→A. Write the adiabatic condition for the monoatomic ideal gas....Given information:The rate of work output of the engine is 1.40 MW , thetemperature into the cooling...In this problem, horseshoe at 900 °C is dropped into water at 10.0 °C. Since there is no energy lost...An air conditioner removes energy from the cold reservoir to heat reservoir. Ideal air conditioner...In the figure P22.73, the curve AB represents isothermal expansion, The curve BC represents isobaric...Apply ideal gas equation at the point A. PiVi=nRTi (I) Here, Pi is the initial pressure, Vi is the...Given info: The mass of the athlete and the water is 70 kg and 454 g respectively. The initial...It is given that pressure at A is 25.0 atm, pressure at C is 1.00 atm, temperature at A is 600 K and...Write the equation for electric force. F=q×E Here, F is the electric force, q is the charge of the...Chapter 23, Problem 1PWrite the expression for electrostatic force. F=keq1q2r2 Here, F is the electrostatic force, ke is a...Given info: The charge of particle A is 3.00×10−4 C , charge of particle B is −6.00×10−4 C , and...The net electric field at point P due to other three charges is as shown below. Figure-(1) Write the...The following figure represents the forces acting on the charges. Figure-(1) Here, F1 is the...Write the expression for the electric field on the axis of the disk at 5.00 cm from the center of...Write the expression for the surface charge density. σ=QπR2 (I) Here, σ is the surface charge...Write the expression for the electric field at a distance r due to a charge dQ. dE=kdQr2 Here, dQ is...Conclusion: Write the expression for the electric field. E→=(E1+E2+E3)i^ (I) Here, s is the total...Write the expression for the force on the line of positive charge. F=qE→ (I) Here, F is the total...Write the expression for the total electric field. E→=E→x+E→y (I) Here, E→ is the total electric...Assume that charged filament is very long or infinitely long. Therefore; there is same amount of...Consider the charged filament is coincided with the Gaussian cylinder of length l and radius r....Below figure shows the electric field magnitude and its direction in all face’s of the cube. Figure...Chapter 24, Problem 35PWrite the expression for the total enclosed charge. Qenc=(ρ43π(r13−r23))+q (I) Here, Qenc is the...Calculation: Write the expression for electric flux. ϕ=EA (I) Here, ϕ is the electric flux, A is the...Write the expression to calculate the electric field on uniformly charged sphere for r<R....Draw a Gaussian sphere from the centre of the insulating sphere such that the radius of the Gaussian...The diagram for the cylindrical shell with inner radius a and the outer radius b is shown below....Write the expression to obtain the charge density. ρ=Ze43πR3 Here, ρ is the charge density, Z is the...Write the expression for electric field in terms of potential difference. E=−dVdr Here, dr is the...The sum of charge on point A and charge on point B is equal to 450 nC. qA+qB=450 nC (I) Write the...The following figure shows the placement of charges q1, q2 and q3. A fourth charge q4 is placed at...The following figure shows the direction of the electric field at point P due to charges at points O...Write the expression for the electric field due to charged earth immediately above its surface....Write the expression for the velocity of the closest approach using the law of conservation of...Write the expression of the electric potential on the radius of the sphere. VR=ke(qR) (I) Here, VR...Write the expression of the electric potential due to single point charge. V=ke(qr) Here, V is the...Chapter 25, Problem 69APThe following figure shows the diagram of the dipoles and the point P. Figure-(1) The dipole...Write the expression for capacitance of a capacitor. C=kC0 Here, C is the capacitance of a...Assume C1, C2, C3, C4 and C5 as the capacitance in part (a), (b), (c), (d) and (e) respectively....Write the expression for equivalent capacitance for upper capacitor connected in series. 1CU=1C1+1C2...Write the expression for equivalent capacitance for capacitor C1 and C2 connected in series....Write the expression for equivalent capacitance for capacitor of 6.00 μF and 2.00 μF connected in...Given information: The value of capacitor 1 is 18.0 μF , value of capacitor 2 is 36.0 μF , voltage...Given info: The radii of two conducting sphere is R1 and R2 . The total charge shared between them...Write the expression to obtain the distance between the positive and negative charges....Below figure shows the arrangements of plates P1, P2 and P3 in the form of capacitors. Figure-(1)...Below figure shows the system of four capacitors. Figure-(1) Write the expression for equivalent...The following figure shows the metal block of length l slide inside the two square plates of length...Write the expression for Ampere. 1 Ampere=1 C/s (I) Here, C is Coulomb and s is second. Write the...Write the expression for the Ohm’s Law. V=IR (I) Here, R is the resistance, V is the voltage and I...Write the expression to obtain the resistance in the wire. R=ρlA Here, R is the resistance in the...Write the expression to obtain the resistivity of the aluminum at 50.0 °C. ρ=ρ0(1+α(T−T0)) Here, ρ...Write the expression for resistance of a wire. R=ρlA (I) Here, l is the length of the wire, A is the...Given information: Power of light bulb A is 25 W , and voltage across light bulb A is 120 V , power...Write the expression to obtain the resistance of the wire. R=ΔVI (I) Here, R is the resistance, ΔV...The c Write the expression to obtain the total charge across both the capacitors when the switch is...Chapter 27, Problem 64APGiven information: Length of the cylindrical wire is 0.500 m , diameter of the cylindrical wire is...Given information: Th first symbol i.e. Euler’s number is e , the second symbol i.e. magnitude of...The circuit breaker wire is arranged in series so that if the current is increased in the circuit...At the start when the switch is open. The resistors R1, R2 and R3 are connected in series. Write the...Consider the circuit diagram as shown below. Figure-(1) Write the expression to calculate the...Consider the circuit diagram as shown below. Figure-(1) Resistors R1 and R2 are connected in...Write the expression based on junction rule. ∑junctionI=0 Here, ∑junctionI is the sum current at the...The circuit diagram is shown in figure (1). Figure-(1) Write the expression for Kirchhoff’s voltage...Let the resistance across 1.00 Ω be R1, across 4.00 Ω be R2, across 8.00 Ω be R3 and across 2.00 Ω...Write the expression based on the junction rule. ∑junctionI=0 Here, ∑junctionI is the sum of...Following figure shows the resistance connected a voltage source of 15.0 V in closed circuit....Let the resistance across 3.00 Ω be R1, across 80.0 Ω be R2 and across 2.00 Ω be R3. The resistors...Write the expression to calculate the power through resistor R2. P=I22R (I) Here, P is the power...A uniform magnetic field cannot exert a magnetic force only when the particle is not charged and...Given info: A magnetic field of magnitude 1.50 T is produced by the laboratory electromagnet and a...Chapter 29, Problem 14PChapter 29, Problem 27PWrite the expression to obtain the kinetic energy of the particle. K.E=12mv2 Here, K.E is the...Write the equation for the magnetic force vector on the conductor. F→B=IL→×B→ (I) Here, F→B is the...Write the expression to calculate the maximum torque on the rotor. τ=nABI (I) Here, n is the number...Write the expression to calculate the magnetic force exerted on ab. Fab→=IL→×B→ (I) Here, Fab→ is...Write the equation for the radius of the trajectory of the proton. R=mpv1Bq1 (I) Here, R is the...Consider the free body diagram of the particle as shown below. Figure-(1) Write the expression to...Chapter 29, Problem 79CPWrite the expression for magnetic field inside a solenoid. B=μ0nI (I) Here, μ0 is the permeability...Chapter 30, Problem 14PWrite the expression to obtain the magnetic field along the conductor. B=μ0i2πr (I) Here, B is the...The sketch showing the various vectors involved is shown in the figure below. Figure-(1) Here, B→ is...Write the expression to obtain the magnetic field along the conductor. B=μ0i2πr Here, B is the...Write the expression to obtain the magnetic field along the conductor. B=μ0i2πr Here, B is the...Given info: The magnitude of magnetic field is 1.00 μT , the distance from the wire is 40.0 cm and...The following figure shows two circular coils of radius R that are perpendicular to a common axis....The sketch of the magnetic field pattern in the yz plane is as shown below. Figure-(1) The current...Consider the sphere as being built up by little spinning ring element of radius r, thickness dr and...Write the expression for the current density. J=IA (I) Here, J is the current density, I is the...Write the expression for induced emf by Faraday’s law. ε=−dϕdt Here, ε is the induced emf, dt is the...Write the expression to calculate the magnetic flux through the loop. ΦB=BA2 (I) Here, ΦB is the...Write the expression for the induced emf. e=Binvl (I) Here, e is emf, Bin is the magnetic field, v...Follow the right-handed cylindrical coordinate system. Write the expression for Faraday’s law....Write the expression to obtain the magnetic flux. ϕ=BAcosωt Here, ϕ is the magnetic flux, B is the...Write the expression to obtain the area enclosed between the bar and the two rails. A=lx Here, A is...Write the expression to calculate the emf induced at the end of the rods. ε=BLv (I) Here, ε is the...Write the expression for emf induced in the coil due to change in magnetic field. ε=−dΦBdt (I) Here,...Write the expression for the magnetic field. B=μ0I2πr (I) Here, r is the distance from the point to...Let θ be the angle between the normal to the coil and the magnetic field. At t=0, θ=0 and θ=ωt at...Write the expression to obtain the current produced by the battery. I=εR Here, I is the current from...The two circular loops are separated by a fixed distance, thus, for the maximum mutual inductance;...Write the expression to calculate the self induced emf. εL=−LdIdt (I) Here, εL is the self induced...Write the expression based on junction rule. ∑junctionI=0 Here, ∑junctionI is the sum current at the...Given info: The inductance of the inductor are L1 and L2 . The internal resistances of them are...Write the expression to obtain the time taken when current reaches 220 mA. I=εR(1−e−RtL) Here,...Write the expression for the frequency of oscillation of the LC circuit. f=12πLC (I) Here, f is the...Write the expression to calculate the electric fields between the plates. E=σε0 Here, E is the...Apply Kirchhoff’s junction rule which states that at any junction the sum of the cuurent must be...Write the expression for power. P=IV Her, P is the power, I is the current and V is the voltage....Write the expression to obtain the current in the circuit The current in the circuit a long time...The flow of current in the circuit is as shown in the figure below. Figure-(1) Here, i, i1 and i2...In case of RL circuit in which resistor and inductor are in series. The current in the circuit which...Consider the phasor diagram as shown in the figure 1. Figure (1) Write the expression for the...Write expression for rms current. Irms=VrmsZ (I) Here, Irms is the rms current, Vrms is the rms...Write the expression to calculate the maximum voltage using the given phasor diagram....Write the expression to calculate the inductive reactance. XL=2πfL (I) Here, XL is the inductive...Write the expression for the rms voltage when the switch S is open. ΔVrms=Irms′Z1 (I) Here, ΔVrms is...Given info: The mechanical vibration of first wave is y1=12.0sin4.50t and for second wave is...The circuit in which capacitor and inductor are short circuited and both the switch are closed is as...Chapter 33, Problem 73APWrite the expression to obtain the inductive reactance. XL=2πfL Here, XL is the inductive reactance,...Write the expression to obtain the resonance frequency in a series RLC circuit. ω0=1LC Here, ω0 is...According to the inverse square law of Newton, the force of gravity acting between any two objects...Given info: The linear density of the rod is 35.0 nC/m and the speed is 1.50×107 m/s . The value of...The given equations are. E=Emaxcos(kx−ωt) (I) Here, E is the magnitude of electric field , Emax is...Given info: The intensity of solar radiation incident on the Earth is 1.370 W/m2 Write the formula...Chapter 34, Problem 46PThe formula to calculate the wavelength is, λ=cf (1) Here, c is the speed of light. f is the...Write the expression for the wavelength of an electromagnetic wave. λ=cf (I) Here, λ is the...Given info: The diameter of the circular mirror is 1.00 m , the radius of the absorbing plate is...The sketch the graph of electric field for the given wave at time t=0 travelling in the x direction...Given info: The weight of the black cat is 5.50 kg , the weight of the kittens is 0.800 kg , the...Given info: The frequency of the wave is 90.0 MHz and the peak value of the electric field is 2.00...The smaller the ratio of wavelength and the distance travelled by the waves, the better is the wave...Given info: The wavelength of sound wave is 589 nm and angle of incidence is 13.0° . The speed of...Given information: The apex angle is 60º , apex refraction is 1.50 and the angle of refraction at...Figure-(1) Write the expression of Snell`s Law. nair⋅sinθ1=n2sinθ2θ2=sin−1(nair⋅sinθ1n2) (I) Here,...Assume n1, n2 and n3 as the refractive indices of sheets 1, 2 and 3 respectively. The following...Write the expression for the index of refraction on the first face of the prism. sini1sinr1=n Here,...The ray diagram for the optical fiber is shown in figure below. Figure (1) It is given that, n1=n...Given info: The index of refraction of glass is 1.55 and the angle of incidence is 30° . From, law...The following figure shows the entire path of the laser beam traveled through the slab. Figure-(1)...Apply Snell’s law for the first layer. n1sinθ1=n2sinθ2' (I) Here, n1 is the refractive index of the...Write the expression to obtain the speed of light in medium 1. v1=cn1 Here, v1 is the speed of light...The light ray path which is perpendicular to the diamond surface is as shown in the figure below....The outer surface must be flat to limit the refraction at the outer surface as a result in the...Given info: The height of the following car is 1.50 m . The distance between the observer’s eyes and...Write the relation between the refractive indices, object distance, image distance and the radius of...Introduction: In a ray diagram in the case of lens or mirror the image is formed where two at least...Write the expression for mirror equation. 1f=1p+1q (I) Here, q is the image distance, f is the focal...Write the expression for the relation between the object distance, image distance and focal length....Write the expression for thin lens equation. 1p+1q=1f (I) Here, p is the object distance, q is the...The following figure gives the ray diagram of the two rays. Write the expression to find the angle...Given info: The near point in the left eye is 50.0 cm and the near point in the right eye is 100 cm...Write the expression for lens equation as the light first passes through the lens. 1q1=1f1−1p1 (I)...Given info: The initial position of the object is 0 cm , the focal length of the converging lens is...Given info: The distance between the candle and the wall is 1.50 m . The distance by which the lens...Chapter 36, Problem 94CPIf the mirrors are not moved, the character of the interference system remains the same. This...Write the expression to find the wavelength. λ=vf (I) Here, λ is the wavelength, v is the velocity...Write the expression to find the wavelength. λ=vf (I) Here, λ is the wavelength, v is the velocity...Write the expression for phase difference. ϕ=2πλdsinθ Here, λ is the wavelength, d is the separation...Write the expression to find the position of the n=50 fringe. y=50ybright Here, ybright is the...Chapter 37, Problem 26PGiven Information: The refractive index of the oil film is 1.45 , thickness of the film is 280 nm ....Given info: The initial length of the metal is 10.0 cm , the wavelength of the light is 500 nm , the...Write the expression to find the distance that the ray travels from the top of the transmitter to...Write the expression to find the magnitude of the light arriving at some point P....The light glare during the time of driving or boating has horizontal polarization. Reflected light...On looking at the figure P38.4, width of the rectangular patch is more than that of its height....Chapter 38, Problem 12PChapter 38, Problem 27PGiven info: Angles of spectral lines are 10.1° , 13.7° and 14.8° , Slits on the grating are 3600...Given info: The number of the polarizing filters is 3 . The formula to calculate the intensity after...Given info: The number of grooves per mm in the diffraction grating is 400, the incident wavelength...Formula to calculate the angles of bright beams diffracted from the grafting is, dsinθ=mλ (1) Here,...Given info: The equation of the intensity of the light in the diffraction pattern is I=Imaxsin2ϕϕ2...Formula to calculate the angles of bright beams diffracted from the grafting is, dsinθ=mλ (I) Here,...Write the expression for the minima. asinθ=mλ Here, a is the slit width, θ is the angle, m is the...Unlike momentum and energy, speed has an upper limit that is the speed of light, c=2.99×108 m/s....Given info: The speed limit is 90.0 km/h and the fine for driving at 190 E is $80.0 . Write the...Write the expression for the initial relativistic kinetic energy of the spaceship. Ki=(γi−1)mc2 (I)...Given info: The kinetic energy of the electron and proton is 2.00 MeV , the rest energy of the...A pion at rest decays to a muon and an antineutrino. The reaction for the decay is shown below....Write the expression for the gravitational force acting on the satellite. Fg=GMEmr2 (I) Here, Fg is...Write the expression for the kinetic energy of the electron. Ke=mec2(γe−1) (I) Here, Ke is the...The first batch of raindrops are moving towards the radio station. Here there is relative motion...Apply law of conservation of energy. Energy before collision is equal to the energy after collision....Given info: The given equation is K=(11−u2/c2−1)mc2 . The equation for the kinetic energy is given...Let the distance travelled by the light from spacecraft to the mirror be equal to d1. From the...Let the distance travelled by the light from spacecraft to the mirror be equal to d1. From the...The given particles are, (a) A photon with kinetic energy of 3 eV. (b) An electron with kinetic...The wavelength range is between 500 nm and 501 nm . Since this range of wavelength is small, the...Write the expression for the power radiated by the black body. P=σAeT4 (I) Here, P is the power...Write the expression to find the change in wavelength. Δλ=hmec(1−cosθ) (I) Here, h is the Plank’s...Write the equation for the momentum of the photon before scattering. p0=E0c (I) Here, p0 is the...Write the equation for the momentum of the photon before scattering. p0=E0c (I) Here, p0 is the...Write the Compton shift equation. Δλ=hmc(1−cosθ) (I) Here, Δλ is the Compton shift in the gamma...The diameter of the beam of laser is 1.75 mm. The laser delivers 2.00×1018 photons/s. The wavelength...It is given that the speed of the electron is close to the speed of light. This implies relativistic...Write equation 40.15. hλ0−hλ′cosθ=γmeucosϕ (I) Here, h is the Plank’s constant, λ0 is the wavelength...Write the equation for the maximum kinetic energy of the ejected photoelectrons. Kmax=eΔVs Here,...Write the expression for the transmission coefficient. T≈e−22m(U−E)Lℏ (I) Here, T is the...The length of the box is 0.100 nm. Write the expression for energy of one dimensional box...Write the expectation relation. 〈x〉0=∫−∞∞ψ0(x)*xψ0(x)dx (I) Here, 〈x〉0 is the expectation value and...Write the Schrodinger’s equation. ∂2ψ∂x2=−2mℏ2(E−U)ψ (I) Here, ψ is the wavefunction, m is the mass,...Write the equation for potential energy. U=keq1q2r (I) Here, U is the potential energy, ke is the...A quantum dot is modeled as a one-dimensional box with the length of 1.00 nm. Here, the given limits...Write the given wave function of the electron. ψ(x)={Ae−αx for x>0Ae+αx for x<0 (I) Here, ψ(x)...Write the Schrodinger equation for a simple harmonic oscillator. −ℏ22md2ψdx2+12mω2x2ψ=Eψ Here, ℏ is...Mβ line in an x-ray spectrum shows that electrons falls into the M shell, and the β shows the...The uniform circular motion of the electron as a particle about the proton in the hydrogen atom...Write the expression for the radius of any orbit in the hydrogen atom. rn=n2a0 (I) Here, rn is the...Write the expression for the number of atoms in a state of energy En. N=Nge−(En−Eg)kBT (I) Here, N...The reflecting surface of the mirror is metallic in nature. So the waves formed has nodes at both...The gravitational force between Earth and sun is balanced by the centripetal force of rotational...Write the expression for the average of the square of distance between electron and proton....Write the expression for the radial probability density function for the Hydrogen atom in ground...Write the expression for the ground state energy of atom. E1=−hcλseries limit (I) Here, E1 is the...Write the expression for the wave function of electron in the 2s state of Hydrogen....Positron and electron are moving in a circle of radius r2 with opposite velocities. Since the mass...Write the expression for the allowed energies of an atom. En=kee22a0(1n2) (I) Here, En is the...(a) A super conductor is a material that offers zero resistance to the passage of electrons. It...The energy needed to transfer an electron from K to I, to form K+ and I− ions from neutral atoms is...The longest wavelength for a rotational spectrum of a molecule will be obtained if the transition...A hydrogen molecule makes a transition from ground level to v=1 and J=1 after absorbing a photon of...Write the wave function of the particle given in question. ψ=Asin(kxx)sin(kyy)sin(kzz) (I) Here, ψ...Write the expression for the total potential energy of an ionic solid. Utotal=−αkee2r+Brm (I) Here,...Write the expression for the potential energy of the particle field system. U(x)=Ax3−Bx (I) Here,...Write the expression for the reduced mass of 12CO. μ12=mC12mOmC12+mO (I) Here, μ12 is the reduced...Write the expression for magnetic potential energy. U=−μ→⋅B→ (I) Here, U is the magnetic potential...On a head-on collision between an alpha particle and a gold nucleus 79197Au. The initial energy of...Write the equation for binding energy per nucleon. EbA=[ZM(H)+Nmn−M(XZA)]A(931.5 MeVu) (I) Here, Eb...Write the expression to find the binding energy of a nucleus. Eb=[ZM(H)+Nmn−M(XZA)](931.494 MeV/u)...Let N10 be the number of parent nuclei at time t=0, N1(t) be the number of parent nuclei at any...Case a: Write the expression to calculate the Q value for the e+ decay. Q=m(C2040a)−2m(e+)−m(K1940)...Write the equation to find the number of carbon atoms. N=mMCNava Here, N is the number of carbon...Write the equation for radius. r=aA1/3 (I) Here, r is the radius of the nucleus, a is the constant...Write the equation for number of nuclei, N0=massmass per atom (I) Conclusion: Substitute 1.00 kg for...Write the relation connecting the initial amount of the isotopes. NX(0)=2.50NY(0) (I) Here, NX(0) is...Write the expression for the electric field inside the nucleus (small sphere of radius R). Ein=ρr3ε0...In this reaction, before and after the reaction the mass number must be conserved. The total mass...The deuterium-tritium fusion reaction, 12H+13H→24He+01n Here, the tritium nucleus is at rest. The...The volume of the oceans is 317 million mi3 and 0.0300% of all the hydrogen in the ocean is...A highly energized proton is absorbed by the 612C and produces an unknown nucleus A and a gamma ray....Two fragments must move in opposite direction for the momentum conservation. Write the equation for...Write the equation for volume of a cube. V=l3 (I) Here, V is the volume of a cube and l is the edge...Write the equation to find the number of nuclie in the given mass. n=NavaMPum Here, n is the number...Write the expression to find the mass of 238U in the sample. m238U=M−m235U−m234U Here, m238U is the...In this case, the number of fissions occurring in the zeroth generation is N0. The number of...(a) The nuclear interaction: The nuclear interaction are force that acts between the nucleons inside...Write the uncertainty relation in energy. ΔEΔt=ℏ2 (I) Here, ΔE is the uncertainty in energy, Δt is...Check for the charge conservation. C:0+0→1+−1 Thus, charge is conserved. Check for Baryon number...The Λ0 particle decay into a π− meson. Write the decay reaction, keeping in mind the required...Write the reaction. Ξ−→Λ0+μ−+νμ Check the conservation of baryon number for the reaction on both...Write the formula for force ∑F=ma (I) Write the formula for centripetal force ∑F=qvBsinθ (II) Here,...A sodium line is emitted from the galaxy 2.00×106 ly away from the earth with the wavelength of 590...Write the equation showing the conservation of energy. Emin+m2c2=(m3c2)2+(p3c)2 (I) Here, Emin is...Write the equation for energy released. ΔE=(mn−mp−me) c2 (I) Here, ΔE is the energy released, mp is...Given decay reaction is, p+γ→p+π0 From energy conservation, mpc21−u2/c2+Eγ=mpc2+mπc2 (I) Here, Eγ is...
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