Physics For Scientists And Engineers6th EditionPaul A. Tipler, Gene Mosca Publisher: W. H. FreemanISBN: 9781429201247
Physics For Scientists And Engineers
Solutions for Physics For Scientists And Engineers
Browse All Chapters of This Textbook
Chapter 1 - Measurment And VectorsChapter 2 - Motion In One DimensionChapter 3 - Motion In Two And Three DimensionsChapter 4 - Newton's LawChapter 5 - Additional Applications Of Newton's LawChapter 6 - Work And Kinetic EnergyChapter 7 - Conservation Of EnergyChapter 8 - Conservation Of Linear MomentumChapter 9 - RotationChapter 10 - Angular Momentum
Chapter 11 - GravityChapter 12 - Static Equilibrium And ElasticityChapter 13 - FluidsChapter 14 - OscillationsChapter 15 - Traveling WavesChapter 16 - Superposition And Standing WavesChapter 17 - Temparature And Kinetic Theory Of GasesChapter 18 - Heat And First Law Of ThermodynamicsChapter 19 - The Second Law Of ThermodynamicsChapter 20 - Thermal Properties And ProcessesChapter 21 - The Electric Field I: Discrete Charge DistributionsChapter 22 - The Electric Field Ii: Continous Charge DistributionsChapter 23 - Electric PotentialChapter 24 - CapacitanceChapter 25 - Electric Current And Direct-current CircuitsChapter 26 - The Magnetic FieldChapter 27 - Sources Of The Magnetic FieldChapter 28 - Magnetic InductionChapter 29 - Alternating-current CircuitsChapter 30 - Maxwell's Equations And Electromagnetic WavesChapter 31 - Properties Of LightChapter 32 - Optical ImagesChapter 33 - Interferance And DiffractionChapter 34 - Wave-partical Duality And Quantum PhysicsChapter 35 - Applications Of The Schrodinger EquationChapter 36 - AtomsChapter 37 - MoleculesChapter 38 - SolidsChapter 39 - RelativityChapter 40 - Nuclear PhysicsChapter 41 - Elementary Particles And The Beginning Of The Universe
Book Details
The Sixth Edition of Physics for Scientists and Engineers offers a completely integrated text and media solution that will help students learn most effectively and will enable professors to customize their classrooms so that they teach most efficiently. The text includes a new strategic problem-solving approach, an integrated Math Tutorial, and new tools to improve conceptual understanding.
Sample Solutions for this Textbook
We offer sample solutions for Physics For Scientists And Engineers homework problems. See examples below:
Introduction: A physical quantity is any quantity that can be measured. The magnitude of a physical...Given: The given value is 10−12 boo . Formula Used: 10−12 units is equal to 1 pico unit....Given: The value of acceleration is 1.296×105 km/h2 . Formula used: Change in velocity within unit...Introduction: Dimension of any physical quantity in physics tells about how any quantity is related...Given: The x and y components of a displacement vector are +8.5 m and −5.5 m . Formula used: Write...Given: Unit vectors i^ and j^ are directed in east and north direction respectively. Formula used:...Given: The arc length is equal to 1 AU . The angle of arc covered is 1 s . Formula used: Write the...Given: The force applied by person P is 50 lb in northeast direction. The force applied by person J...Formula Used: Write the expression for the average velocity of the ball during its complete journey....
Given: The variation of velocity of particle with time is plotted. Formula used: Write the...Given: The initial velocity of the rocket v0y=0 m/s The magnitude of its upward acceleration ay=20...Given: Velocity of passenger train is 29m/s . Separation between passenger and freight train when...Given: The free fall of the professor is for 8.0 s . Initial velocity of the professor is 0 m/s2 ....Given: The initial velocity on the box is 4 m/s . The final velocity on the box is 5 m/s . The time...Given: The acceleration of the rocket is given by a=bt . The initial condition is given as x0=0 and...Given: The acceleration of the particle is given by ax=(0.20 m/s3)t . The velocity of particle at...Given: The acceleration of the particle is ax=a0x+bt . The position of particle is x=x0 and vx=v0x...Introduction: The distance Δy travelled by the marble in the measured time interval Δt is given by...Given: The equation of position x as a function of time x=Asinωt The values of the constants A=5.0...Given: The acceleration of the particle is given by ax(x)=(2.0 s−2)x . The velocity is 0 m/s at...Given: The equation for the acceleration ay of the sky diver as a function of its speed vy ay=g−bvy2...Introduction: Distance can be defined as the total path length travelled by a body. Its S.I. unit is...Given data: The ball is thrown horizontally. Formula used: Second equation of motion: s=ut+12at2s...Given data Velocity at t = 0 s = 40 m.s-1 The angle of velocity at t = 0 s = θ=45∘ Velocity at t = 3...Given data x(0)=4.0 my(0)=3.0 mv→(0)=2i^−9j^a→(t)=4i^+3j^ Formula used v→(t)=∫a→(t)dt Calculation...Given: The initial velocity of the ball relative to the train v→0=4.90 m/sj^ Formula used: To...Given: Time taken by the Earth to rotate once on its axis, T=24 h Radius of the Earth, RE=6.378×106m...Given: The angle of ball above the horizontal is 55° . The initial speed of the ball is 22 m/s . The...Given: Initial velocity of the golf ball, vo=45.0 m/s Launching angle, θo=35.0° Net vertical...Given: The time is 20.0 s. The distance is 3000 m above the horizontal. The distance is 450 m in...Given: The distance between the woman and the wall is 4 m . The velocity of the ball is 14 m/s . The...Given data: Final height of ball just above the plate =0.7 m Range =18.4 m Initial speed of ball...Given: The position of the particle at t=0 is r→1=(4.0 m)i^+(3.0 m)j^. The position of the particle...Given: The speed of the airplane is 275 mi/hr . The angle is 37° above the horizontal. The distance...Introduction: Newton’s first law of motion defines that an object remains in the state of rest or...Given: The given diagram is shown in Figure 1. Figure 1 The acceleration when it acts on object on...Given: The mass of the object is m=4.0 kg . The value of the force F¯1=(2.0 N)i^+(−30 N)j^ . The...Given: The given diagram is shown in Figure 1 Figure 1 Formula used: For the given diagram, the...Given: An arch is grounded at the both ends and helium filled balloons are placed at equal interval...Given: The mass of the block is m=2.0 kg . Formula used: The expression for the weight of the block...Given: The mass of each link is m=0.10 kg . The upward acceleration of the chain is a=2.5 m/s2 ....Calculation: The free body diagram for the blocks is shown in Figure 1 Figure 1 Consider the tension...Introduction: Newton’s third law states that for every action, there is an equal and opposite...Formula used: The expression for the acceleration of the wood system is given by, a=(m1−m2)gm1+m2...Introduction: Static frictional force: The object remains at rest till the applied force on the...Given Information: n=1 Formula Used: The drag force equation is Fd=bvn Calculation: The drag force...Given Information: An automobile is going up a 15o grade at a speed of 30 m/s . The coefficient of...Given: Mass of box is 2.0 kg . Coefficient of friction between the box and the wall is 0.60 ....Given: Mass of the block is 10.0 kg . Mass of the bracket is 5.0 kg . Value of the static friction...Given data: Mass of the block, m=0.50 kg Mass of the wedge, m'=2.0 kg Coefficient of static...Given: The time measure is Δt . Total displacement of the block is Δx . Formula used: Draw free body...Given Information: Mass of the car, m=2000 kg Air drag on the car, FD=500 N Speed of the car, v=100...Given Information: Radius of the curve is 150 m Banking angle is 10o . Mass of car is 800 kg . Speed...Given Information: Mass of the car m=800 kg Angle of incline, θ=10o Radius of curvature, r=150 m...Given Information: Radius of the curve is 30 m . Mass of the car, m=950 kg car Speed of the car is...Given: The mass of cylinder is mc . Formula used: Write expression for total force on the system....Given: Mass of a particle = m = 0.80 kg Position of a particle is given by...Given: Length and mass of the raft are 6 m and 120 kg respectively. Your mass is 60 kg . Formula...Introduction: The work energy theorem states that the net or total work done on a particle is equal...Given: Mass of the object is 3.0 kg . Velocity of the object is 2.4m/s . Formula used: Write...Given: The mass of the car is 1220 Kg . The constant velocity of the car is 55 mi/h . Power of the...Given: Each of the proton has a kinetic energy 10 keV . Per second 1 × 109 protons are reaching the...Given: The force acting on the particle is (2.0 N/m2)x2 i^ . The particle moves along a straight...Given: The force acting on the particle is (F0r)(y i^ − x j^) and r is the distance of the particle...Given: The mass of the particle is 2.0 kg . The force acting on the particle is −(br3)(x i^ + y j^)...Given: The mass of the block is m . The vertical distance of the top of the block and the ceiling is...Given: Mass of two cylinders is not equal and pulley is frictionless. Formula used: Write the...Given: The value of constant force is 6.0 N . The initial potential energy is 0 J . Formula used:...Given: The potential energy function is U=3x2−x3 for x≤3.0 m . The potential energy function is U=0...Given: The mass of two blocks are m1 and m2 . The length of mass m1 from pivoted end is l1 and...Given: The mass of sled is 8.0 kg . The coefficient of friction between sled and road is 0.40 . The...Given: The mass of block is 2.0 kg . The initial height of block is 3.0 m . The final height of...Given: The mass of block is 2.4 kg . The initial speed of block is 3.8 m/s . The coefficient of...Introduction: To derive the expression for distance the box slides, the work-energy theorem will be...Given: The mass of rock piece is 2.0 kg . The initial speed of rock piece is 40 m/s . The maximum...Given: The mass of the roller- coaster carriage m=500 kg Speed at point A vA=12 m/s Height of A...Given: On a 2.87° hill, speed of car is 20 m/s ,on a 5.74° hill, speed of car is 30 m/s and total...Formula used: The kinetic energy of a particle in terms of its momentum is given by K=p22m Here, K...Given: The mass of block 1 is m1=3 kg . The velocity of the block 1 in positive x direction is v1=5...Given: The mass of block 1 is m1=3 kg . The velocity of the block 1 in positive x direction is v1=5...Formula used: The expression for the conservation of momentum given by, m1v1i+m2v2i=m1v1f+m2v2f The...Formula used: The expression for the final velocity of first object is given by,...Introduction: The meteorites are rock-like shapes that move in the space together with earth and the...Given: The mass of small object is m1=m . The mass of large object is m2=2m . The speed of small...Given: The mass of ball 1 is m1=2.0 kg . The mass of ball 2 is m2=3.0 kg . The speed of ball 1...Given: The mass of particle 1 is m1 . The mass of particle 2 is m2 . Formula Used: The expression...Given: The mass of first block is m3=3.0 -kg . The mass of second block is m1=1.0 -kg . The speed of...Given: The mass of first block is m3=3.0 -kg . The mass of second block is m1=5.0 -kg . The speed of...Given: The mass of the first astronaut is m1 The mass of second astronaut is m2 . The mass of the...Given: A disk rotating with increasing angular velocity about an axis passing through its center and...Given: Initial angular speed of the fly wheel, ωi=0 Final angular speed of the fly wheel ωf=4.5...Given info: The masses of the balls: m1=m3=3.0 kgm2=m4=4.0 kg The length of the edge of the cube...Given: Diameter of each sphere =dsphere=10 cm Radius of sphere =rsphere=5 cm Length of the rod =L=30...Given Information: Mass of block resting on the ledge, m1=4 kg Mass of the block hanging from the...Given data: Radius of the concentric drum, R=10 cm =(10 cm)( 1 m 100 cm)=0.100 m Mass of the hanging...Given: A uniform sphere is rolling without friction. Formula used: The total kinetic energy is sum...Given: The coefficient of static friction = μs Angle of inclination = θ Formula used: Torque is...Given: Mass of the ball is M . Radius of the ball is R . The coefficient of kinetic friction between...Given: Mass of a uniform solid ball = 20 g = 0.02 kg Radius of the ball = 5 cm = 0.05 m The height...Given: The horizontal force applied on a billiard ball at a distance h=2R3 , below the centerline...Given: Radius of the ball is R Initial speed of the ball is v0 The coefficient of kinetic friction...Given information: Height of each vertical beam =12.0 ft Width of each vertical beam =2.0 ft Length...Given: Vectors A→ and B→ are in opposite direction. Formula Used: Vector product is: P=A→×B→=AB sin...Given: Two nonzero vectors A→ and B→ . Formula used: The formula of vector product:...Given information : Mars and Earth have nearly identical lengths of days. Earth’s mass is 9.35 times...Given: A→=4 i^B→=6 i^+6 j^ Formula used: The property of vector cross product: i^ ×j^=k^, j^ ×k^=i^,...Given data: A→=4i→, B→=6i→+6j→ Formula Used: Consider vectors A→ and B→ are perpendicular the vector...Given: A→=axi^+ayj^+azk^B→=bxi^+byj^+bzk^C→=cxi^+cyj^+czk^ Formula used: The property of vector...Given: Mass of rod, M = 2 kg L1 =1.2m L2 = 0.80mθmax= 37o Formula used: Conservation of mechanical...Given data: Mass of the ball is m Formula Used: Angular momentum: L→=r→×p→ Where, p→ is the linear...Given information : The circumference of the pulley =1.2 m Mass of the pulley 2.2 kg Length of the...Introduction: Kepler described three laws of planetary motion: 1. A planet goes around sun in an...Introduction: The escape velocity on the surface of the asteroid is ve Asteroid=2GM asteroidR...Given data: M=1.05 MSun Here, MSun is the mass of the sun. Orbital period: T=1.50 yr FormulaUsed:...Given data: Universal gravitational constant, G=6.673×10−11N⋅m2/kg2 Radius of the sun, R=6.96×108m...Given data: G=6.67×10−11 N⋅m2/kg2MEarth=5.98×1024kgREarth=6.37×106 mh = 12.742×106 m Mass of the...Given data: Following figure shows the distribution of masses on the semi-circular arc of radius R...Given information : Mass of the rod =M Length of the rod =L Length of an element of the rod =dx Mass...Given data: Radius of M1 is R2=2a R1=a Center has shifted, x=0.8a Formula Used: Gravitational field:...Given data: The density of the sphere, ρ(r)=Cr Radius, =5.0 m Mass of the sphere, M=1.0×1011 kg...Given information : Mass of point particle =m0 Formula used : Gravitational potential energy...Given information : Mass of the Sun =Ms Mass of the Moon =Mm Distance of the particle from Earth to...If an object is to be in equilibrium, the net force as well as net torque about any point must be...Given data: Free body diagram for the given situation is as follows: Formula used: Apply the...Given: Length of the board, L=3.0 m Mass of the board, m=5 kg The angle between the board and the...Given data: The strut is weightless. Weight of the block, 60 N Formula used: Static translational...Given data: Weight of steel beam w=22 lb/ft =(22lbft)(1 kg2.205 lb)(3.281 ft m)=32.735 kg/m Length...Given data: Length of the rigid beam, L=2.5 m Spring constant, k =1250 N/m At equilibrium, beam...Given information : Mass of the ladder =20.0 kg Tension of the wire =29.4 N Breaking point tension...Given information : Length of the beam =20 cm Radius of the cylinder =4.0 cm Mass of the beam =5.0...Given:Gauge pressure is doubled. Formula Used: Gauge pressure: PGauge=PAbsolute−PAtmospheric...Given: Mass of a diver, m=85 kg Density of a diver, ρ=0.96 kg/L Formula used: Let, volume of the...Given: Radius of the balloon (r) is 2.5 m Total mass (mass of the balloon + mass of the helium +...Given: Length of conical section of pipe (L) through which the water flows is 1.0 m Radius of...Introduction: Bernoulli’s equation describes the quantitative relationship between the pressure and...Given: Height of the root beer is h Calculation: Let us apply the Bernoulli’s equation to the beer...Given: Temperature of water is 20°C Flow rate of water is 10.5 cm3/s Diameter of the tap is 1.20 cm...Given: The drag force on a moving sphere at a very low Reynolds number is Fd=6πηav where, η is the...Given: Density of air =ρa=1.3 kgm3 Density of helium =ρHe=0.18 kgm3 Mass of skin of balloon =mb=1.5...Given: Total mass of a submarine (including crew and equipment) is 2.4×106 kg The volume of a...Introduction: Simple harmonic oscillator is any system which when displaced from its equilibrium...Given: The time period of the particle is 8.0s . The amplitude of the oscillation of the particle is...Given: The force constant is 1800 N/m . The amplitude of the object is 2.50 cm . The frequency of...Given: The mass of the object is 2.0 kg . The length of the object is 5 cm . The amplitude of the...Introduction: In the simple pendulum, there is the bob that has mass and is hanged from the string...Given: The distance between center of sphere and point of support is L . The period of simple...Given: The length of rod is 2.00 m . The mass of rod is 0.800 kg . The mass of uniform disk is 1.20...Given: Mass of object is 2.00 kg . Linear damping constant is 2.00 kg/s . Value of force constant is...Introduction: Time period of oscillating system is the time required by system to complete one...Given: Period of oscillation is 0.80 s . Box started to slip when amplitude reaches 10 cm . Formula...Formula used: Write the expression for average power delivered in driving an oscillator....Introduction: Speed of the pulse depends on the medium properties. A pulse travelling on a rope or...Given: Differentials dv and dFT obey dvv=12dFT/FT . Formula used: The speed of the transverse wave...Given: Differentials dv and dFT obey dvv=12dFT/FT . Formula used: dv/dT is evaluated as,...Given: Equation: y(x,t)=k(x+vt)3 . y(x,t)=Aeik(x-vt) y(x,t)=ln[k(x-vt)] Calculation: To show the...Given: Wave function: y(x,t)=(1.00 mm)sin(62.8 m-1x+314 s-1t) . Formula used: The speed of the wave...Given: The speed of the wave is v1 when region x<0 . The speed of the wave is v2 when region x...Given: Pressure variation is given by, p(x,t)=0.75 cos[π2(x-343 t)] Formula used: The pressure...Given: Length of the string: ls= 3.00 m Mass of the string: ms= 25.0 g Length of the twine: lt= 4.00...Given: μ2=μ1 Formula used: Consider: Mass per unit length for the first string is given as: μ1=m1l1...Given: Frequency = 400 Hz . Amplitude = 0.50 mm . Linear mass density = 0.010 kg/m . Tension = 1.0...Given: Mass per unit length of the rope = 0.100 kg/m . Tension = 10.0 N . Frequency = 5.00 cycles...Introduction: The wave function at t=0 is given. The speeds of pulses are used to determine the...Given: Linear mass density of the string is 4.00×10−3kg/m . Tension in the string is 360 N . One of...Given: Length of string is 2.00 m . Maximum amplitude is 3.00 cm . Frequency of the string is 100 Hz...Introduction: A sound wave form originated by tuning fork of frequency centered on fo .A wave packet...Given: Length of string is 35 m . Linear mass density is 0.0085 kg/m . Tension in string is 18 N ....Given: The wave function of standing wave is given as y(x,t)=(0.020)sin(4πx)cos(60πt) . Formula...Given: The distance between nodes for first case is 6.94 cm . The distance between nodes for second...Given: The wave function of standing wave is given as y(x,t)=(0.020)sin(12πx)cos(40πt) ....Given: Length of the wire, l=2.00 m Tension in the wire, T=40.0 N Mass of the wire, m=0.100 kg At...Introduction: Zeroth law of thermodynamics was stated after the first law of thermodynamics that is...Given: The escape speed of the surface of the planet is 2gR . Formula used: Write the expression for...Given: The escape speed of the gas molecules in atmosphere of Mars is 5.0 km/s . Temperature is 0 °C...Given: The escape speed of gas molecules is 60 km/s. The temperature at the Jupiter surface is −150...Given: Temperature at the center of the gas is 1×107 K . Density at the center of sun is 1×105 kg/m3...Given: The temperature dependence of resistance of a thermistor is R=R0eB/T . The value of R is 7360...Given: Initial gauge pressure is 200 kPa . Initial temperature of tire is 20° C . Final temperature...Given: Load, F=110 N weight of the balloon’s envelope, w=50.0 N Volume of the balloon when it is...Given: Number of moles of gas, n=0.10 mol At STP, volume is V=2.24 L Mass of the piston, m=1.4 kg...Given: The mass of object A is twice the mass of object B. The specific heat capacity of mass A is...Given: The mass of aluminium calorimeter is mAl calorimeter=200 g The mass of water is mwater=600 g...Given: The initial pressure is 400 kPa . The final pressure is 160 kPa The initial temperature is...Given: The initial pressure is 400 kPa . The final pressure is 160 kPa The initial temperature is...Given data: The amount n of sample of N2 gas is 1 mol . The temperature T1 of the gas is 20° C . The...Given: The initial pressure is 2.00 atm . The initial volume is 2.00 L The final volume is 4.00 L...Given: The initial pressure is 2.00 atm . The temperature is 360 K Formula used: The expression for...Given: The initial pressure is 2.00 atm . The temperature is 360 K Formula used: The expression for...Calculation: Consider the given data, the pressure versus volume graph for the process is shown...Formula used: The expression for specific heat from Einstein model is given by, cV′=3R( T E...Given: The efficiency of the automobile gasoline engine is η=0.25 Formula used: The percentage of...Given: The number of molecules is 10 . The volume of the box is V=1.0 L . Formula used: The...Given: The initial pressure of the gas is P1=1.00 atm . The initial volume of the gas is V1=24.6 L ....Given: The number of mol of an ideal monatomic gas is n=1 mol . The initial volume of gas is V1=25.0...Given: The initial pressure of gas is P1=1 atm . The initial temperature is T1=0°C . The final...Given: The pressure at A is PA=5.00 atm . The temperature at A is TA=600 K . Formula used: The...Given: The pressure at A is PA=5.00 atm . The temperature at A is TA=600 K . Formula used: The...Introduction: The Brayton cycle consists of various thermodynamic process, an adiabatic compression,...Formula: The range of the isobaric expansion cycle is given by, T1→T4 The range of the adiabatic...Introduction: Coefficient of expansion is the ratio of the length/volume increase in body by rise in...Given: The thickness of the door = 2.0 inch The thermal conductivity of brass = 85 W/(m.K) Formula...Given:Atmospheric pressure 70.0 kPa . Formula used: Clausius-Clapeyron equation is...Given: A copper cube and aluminum cube each having3.00cm long edges. Formula used: Thermal...Given: Thermal conductivity of copper, KCu=401W/m⋅K Areaof cross-section of copper, Acu=9.0×10−4m²...Introduction: The difference between the two lengths are constant if the length LA and LB is...Introduction: Electrostatic force is the force that is applied on the charges which are at rest. The...Introduction: The electric field is the region near the charge where the other object or body will...Given: The magnitude of the three point charges is 3.00 nC . The length of the side of the square is...Given: The magnitude of the first point charge is −1.0 μC . The magnitude of the second point charge...Given: The magnitude of the two point charges is +4.0 μC . The position of the first point charge is...Given: The magnitude of the first point charge is −5.0 μC . The position of the first point charge...Introduction: Electric field, E→ at distance r from a charge q is given by the following equation:...Given: Four point charges placed at corners of a square whose edge length is L. Formula used: Write...Given: The radius of the microsphere is 5.50×107 m . The Magnitude of electric field is 6.00×104 N/m...Given: The charge is uniformly distributed along the length of the L-shaped object having equal...Given: Radius of a disk is 2.5 cm . Surface charge density of the disk is 3.6 μC/m2 . Distance of a...Given: Radius of non-conducting sphere is 6.00 cm and uniform volume charge density is 450 nC/m3 ....Given: A positive point charge of 2.5 μC is placed at the center of a conducting sphere. The radius...Given: Area of the two plates is 500 cm2 . Separation between the plates is 1.50 cm . The amount of...Given: The diameter of the sphere is 1.20 m . The volume charge density of the sphere is +5.00 μC/m3...Given: The charges are placed as shown in the figure. The first plane at y=−0.6 m . The second plane...Given: The charges are placed as shown in the figure. The first plane at x=2.0m . The line charge...Given: A sphere of radius R and surface charge density ρ . A cavity inside the sphere of radius...Introduction: The term electric potential energy is associated with the point charges in a system....Given: The charge on each particle is q=2.00 μC Formula used: The expression for the potential at...Formula used: The expression for the electric potential due to quadrupole is given as,...Given Data: The radius of a spherical shell is r' The thickness of spherical shell is dr' Formula...Introduction: The supplementary and inherent essential property of some subatomic particles such as...Given Data: The charge on first particle is q1=+4.20 μC The charge on second particle is q2=+4.20 μC...Given Data: The charge on each particle is q=2.00 μC . The side of a square is a=4 m . Formula used:...Given: The distribution of charge density is ρ(r)=−ρoe−2ra . The value of most probable distance of...Formula used: The expression for potential due to the ring is given by, V=kQ ( x±L )2+L2 The...Given: The inner shell is uncharged. The middle shell has a positive charge '+Q' The outer shell has...The capacitance of a parallel-plate capacitor depends on plate’s surface area, distance between...Given: Two capacitors 4 μF and 15 μF are connected in series and this series combination is in...Given information: Two capacitors C1 and C2 Formula used: The charge stored in a capacitor: Q=CV...Given: Two capacitors 1.00 μF and 0.250 μF are connected in parallel and this parallel combination...Given information : Radius of the wire = R1 Length of the wire = L Charge = +Q Inner radius of...Given information : Radius of inner radius = R1 Charge of inner radius = +Q Radius of outer radius =...Given: Capacitor 1, C1=4 μF = 4 ×10−6 F Capacitor 2, C2=12 μF = 12 ×10−6 F Potential difference,...Given information : Charge of an electrically isolated capacitor =Q Distance between plated =d...Given information : The radius of spherical capacitor =a Charge =+Q Inner radius of conducting...Given information : Radii of coaxial conducting thin cylindrical shells = a & b Charge of the...Introduction: Net electric field within the material of a conductor is zero only under electrostatic...Given: Average force due to air drag and rolling friction =F=1.20 kN = 1.20 (1000) N = 1200 N Speed...Formula used: The expression for equivalent resistance in upper wire is given by,...Calculation: The diagram of the electric circuit is shown below, Figure (1) Conclusion: Therefore,...Given: The voltage of the battery is ε=8 V . The circuit is shown in figure. Figure (1) Formula...Given: The resistance R is 1.00 kΩ . The resistance RV of the voltmeter is 10 MΩ . The given diagram...Given: The value of emf is ε=6.00 V . The value of capacitance is C=1.50 μF . The resistance is...Given: The value of charge on capacitor is q=1.00 mC . The value of capacitance is C=5.00 μF . The...Given: The value of emf is ε=50.0 V . The value of capacitances are C1=10.0 μF and C2=5.0 μF ....Given: The value of emf is ε=50.0 V . The value of capacitances are C=5.00 μF . Formula used: Apply...Given: The given values in the circuit are, ε=800 VVc=4.20 VR2=1.00 mΩR1=0.500 MΩ And, C=20.0 nF...Given: The resistance R1 is 2 MΩ . The resistance R2 is 5.00 MΩ . The capacitance C is 1.00 μF . The...Formula Used: The expression for the charge on the capacitor is given by, Q=CV0 The expression for...Introduction: Magnetic force on a moving charged particle moving through a magnetic field region is...Given: Charge on the point particle =q=−3.64 nC =−3.64×10−9C Velocity of the particle =v→=(2750ms)i^...Given: Magnitude of charge on proton =q=1.6×10−19C Velocity of the proton...Given: Charge on the electron =q=−1.6×10−19C Velocity of the particle =v→=(2×106ms)i^−(3×106ms)j^...Given: Equilibrium angular displacement of the wire from vertical =θ Magnitude of current in the...Given: Equilibrium angular displacement of the wire from vertical =θ Magnitude of current in the...Given: Magnitude of charge on an ion, q=1.602×10−19C Magnitude of magnetic field, B=0.120 T...Given: The given diagram is shown in Figure 1 Figure 1 Calculation: The angel that the coil makes...Given: Number density of electrons =n=8.47×1022 cm−3=8.47×1022×106m−3=8.47×1028m−3 Current in the...Introduction: An electric dipole is a measure of separating the opposite charges and the magnetic...Given: The charge is q=12 μC . The velocity is v→=30 m/s i^ . Formula used: The expression for...Given: The charge is q=12 μC . The velocity is v→=30 m/s i^ . Formula used: The expression for...Given: The velocity is v→=1.0×102 m/s i^+2.0×102 m/s j^ . Formula used: The expression for magnetic...Given: The radius of loop is R=3.0 cm The current is I=2.6 A . Formula used: The expression for...Formula used: The expression for total magnetic fieldis given by, Bz=μ0nR2I2(z1−1+z2−1) Calculation:...Formula used: The expression for magnetic field is given by, B=−μ0I2πR1k^+μ0I2πR2k^ Calculation: The...Given: The current in the wire at y=−6 cm and y=+6 cm is in the −x direction and +x direction...Given: Thecurrent carried by each of the wires is I . The length of each wire is same that is L ....Given: The straight wire carries a current I1=20.0 A . The coil carries a current I2=5.00 A . The...Introduction The magnetic flux can be defined as the number of magnetic field lines that pass...Given: The turns of the coilis n=25 . The radius of the coil is r=5.0 cm . The axis of coil is...Given: The number of turn of coil is N=15.0 . The uniform magnetic fieldis B→=(4.00 kG)i^ . The...Given: The length of the rectangular loop, Lside of theloop=10 cm The widthof the rectangular loop,...Given: The resistance and self-inductance of the coil is 8.00 Ω and 4.00 mH respectively. The...Given: The inductance of a coil is L=4 mH The resistance of a resistor is R=150 Ω The voltage of...Given: The inductance of the inductor is L=2 H . The resistance of the resistor is R=100 Ω . The...Formula Used: The relation for the magnetic is given by, um=B22μ0 Calculation: The magnetic field...Given data: The uniform horizontal magnetic field is B→ . The angle θ is 0 . The value of τ is...Given:The Frequency of the ac generator is f = 60 Hz . Formula used:The time elapsed between two...Given: Operated power of plant is P=2.3 MW Voltage supply to the plant is ε=40 kV Frequency supply...Given: Potential difference across terminals of one of the generators, V1=(5 V)cos(ωt−α) Potential...`Given: Inductance of inductor is L=36 mH Resistance of resistor is R=40 Ω Ideal voltage output is...Given: Load resistance is RL=20 Ω Inductance of inductor is L=3.20 mH Resistance of resistor is R=4...Given: Ideal AC voltage source is ε1=(20 V)cos(2πft) An ideal battery (whose EMF is ε2 ) is ε2=16 V...Given: The given diagram is shown below The above circuit is a trap filter circuit. Its phasors...Given: Rms voltage of the generator, ε=115V Frequency of the generator, f=60Hz Inductance, L=137mH...Given: RMS voltage, Vrms=120V Frequency, f=60Hz RMS current, Irms=11A Phase difference between the...Introduction: Conduction current developed in conductors due to movement of electrons in it, while...Formula used: The expression for magnetic field is given by, B=μ0Ia4πR(sinθ1+sinθ2) The expression...Given: The radius of the circular plateis b . The separation distance between the plates is d...Given: The intensity I of the sunlight is 1.37 kW/m2 . Formula Used: The expression for force acting...Given: The frequency is f=100 MHz . The magnetic is B→(z,t)=(1.00×10−8 T)cos(kz−ωt)i^ Formula used:...Given: The electric field of first wave is E→1=E10cos(k1x−ω1t)j^ . The electric field of second wave...Given: The angle between the incoming ray and the reflected ray is 70° . Formula used: The angle of...Given: The wavelength of the helium-neon laser is λ=632.8 nm . Formula used: The expression for the...Formula used: The expression for b can be given as, b=2dtanθrcosθi . Here, b is the separation...Formula used: The expression for intensity is given by, IN+1=I0cos2(π2N) Calculation: The intensity...Given: The energy at ground state is, E0=0 . The first excited of atoms is E1=2.11 eV . The second...Formula used: The expression for distance D is given by, D=d1+d2 The expression for distance d1 is...Formula used: The expression for IT is given by, IT=Iglass−IR,2 The expression for Iglass is given...Formula used: The expression for ϕd is given by, ϕd=π+2θ1−4sin−1(n airsinθ1n water) Calculation: The...Introduction: An optical image is said to be virtual, if it is achieved at the point where the rays...Given: The object distances are, 55 cm , 24 cm , 12 cm , 8.0 cm and 1.0 cm . The radius of curvature...Given: The height of the object is 3.00 cm . The distance of the object in front of a thin lens is...Given: The focal length of two converging lenses is 10 cm each. The separation between the two...Given: The focal length of a converging lens is 10 cm and focal length of a diverging lenses is (−15...Introduction: The ray diagram is related to show the focal length f , the separation between the two...Given: The distance of an object is 17.5 cm to the left of a lens. The focal length of the lens is...Given: The power of both lenses is 20 D . Distance between lenses is 30 cm . Formula used: Write...Given: Magnifying power of microscope is 600 . The angular magnification of eyepiece is 15.0 . The...Given: The focal length of the objective is 100cm and the object distance is 30m . Formula used: A...Given: A thin lens whose focal length in air is fa . Introduction: The focal length of a lens...Introduction: A path length difference introduces a phase difference that can be observed for a...Given: The refractive index of film is 1.50 . The missing wavelengths of spectrum are...Introduction: The given arrangement of Newton’s ring apparatus which consists of a plano-convex...Given: The wavelength of the light used is 633 nm . The distance between the slit and screen is 12 m...Given: The wavelength of the light used is 500 nm . The separation between the slits is 1 cm . The...Given: The wavelength of first violet line is 434nm . The wavelength of second violet line is 410nm...Given: The spacing of diffraction grating has 4800 lines per centimeter. The range of wavelength of...Given: The wavelength of light is 589 nm . The diffraction grating has 2.0 cm square ruled with 4000...Given: The path difference is calculated by considering two slits separated by a distance d ....Introduction: The electromagnetic radiations show the wave as well as particle nature of the light....Given: The length of one-dimensional box is 1.00 fm (about the diameter of an atomic nucleus) ....Given: The length of one-dimensional box is 0.200 nm (about the diameter of a H2 nucleus) . Formula...Given: The one-dimensional box regionis 0≤x≤L . The particle is in the ground state. The given...Given: The one-dimensional box region is 0≤x≤L . The particle is in the first excited state. The...Given: The one-dimensional box region is 0≤x≤L . The particle is in the nth state. The wave...Given: The one-dimensional box region is −L2≤x≤L2 . The one-dimensional box length is L . Centre at...Given: The one-dimensional box region is −L2≤x≤L2 . The one-dimensional box length is L . The...Introduction: The wave function contains all information about a system. The graph of wave function...Formula used: The expression for ground state of harmonic motion is given by, 〈x〉=∫−∞∞ψ0*(x)xψ0(x)dx...Given: The particle is constrained to move in the two dimensional region defined by, 0≤x≤L and 0≤y≤L...Formula used: The expression for U〈x〉 total classical energy given by, U〈x〉=12mω0x2 The expression...Introduction: The diagram which is used to represent the arrangement of the orbital in order of...Given: The principal quantum number is n=4 . Formula used: The expression to calculate the possible...Given: The orbital number is l=3 . Formula used: The expression to calculate the possible values of...Given: The radius of Bohr bolt is r=a0 . The value of Δr is 0.3a0 . Formula used: The expression for...Given: The radius of Bohr bolt is r=a0 . Formula used: The expression for the spherical wave...Given: The value of Δr is 0.02ao . The value of r is ao . The value of n is 2 . The value of l is 0...Given: The ground state hydrogen atom wave functionis ψ100=π−1/2(Z/ a o)3/2e−Zr/ao . Formula Used:...Given data: The given values of the wavelength λ are 164 nm , 230.06 nm and 541 nm . Formula: The...Introduction: Most of the non-polar molecules don't have a dipole moment in them, while if in case...Given: The equilibrium separation of the K+ and F− ions in KF is r=0.217 nm . Formula used: The...Formula used: The expression for reduced mass of a two body system is given by, μ=m1m2m1+m2...Given: The equilibrium separation is r=0.113 nm . Formula used: The expression for moment of inertia...Given: The effective force constant is 580 N/m . Formula used: The expression for wavelength is...Introduction: The drift velocity of the charged particles is induced due to the action of electric...Given: The density of gold is ρ=19.3×103 kg/m3 . The atomic mass is m=196.97 g/mol . Formula used:...Given: The monatomic ideal-gas relation is, PV=23NEav ..... (1) The Fermi energy from equation...Given: The temperature is T=273 K . The resistivity and Fermi speed of Na is ρ1=4.2 μΩ⋅cm and...Given: The resistivity is ρ=1.0×10−8 Ω⋅m . The Fermi energy from Table 38-1 is EF=7.03 eV . The...Given: The concentration of doped n-type silicon sample is n=1.0×1016 cm-3 The resistivity at 300 K...Given: The saturation current is I0= 1.0 nA . The value of kT=0.025 eV . Formula used: The...Given: The density of the electron states in a metal is g(E)=AE12 . Formula used: The number of...Introduction: The total relativistic energy of a particle is the sum of its kinetic energy and rest...Given: In laboratory frame of reference length of each bundle is 1.0 cm . Diameter of each bundle in...Introduction: Events 1 and 2 are separated by a distance D of (x2−x1) and a time T of (t2−t1) in...Given: Rocket has proper length 700 m is moving to right at speed 0.900c . Rocket has one clock in...Given: Spaceship that is at rest in frame S is given speed increase boost 1 of 0.50c . Spaceship is...Given: Particle of mass 1.00 MeV/c2 and kinetic energy 2.00 MeV collides with stationary particle of...Given: A particle moving with speed u along the y-axis in frame S . Formula Used: Relativistic...Introduction: Isotopes are the element having same atomic number with different atomic weight or...Given: The mass of one proton is 1.007825 u . The mass of one neutron is 1.008665 u . The mass of...Given: The reaction: H2+H2→H3+H1+Q Formula used: Write the reaction. H2+H2→H3+H1+Q Write the...Given: The mass of the nucleon is 1.0 u . The length of the square well is 3.0 fm . Formula used:...Given: The mass of one 4He nucleus is 4.002603 u . The mass of one 16O nucleus is 15.994915 u . The...Given: The length of the one-dimensional infinite square well is 2.00 fm . Formula used: Write the...Introduction: The elastic head-on collision is a type of collision in which the two bodies collide...Introduction: Often, the daughter nucleus of a radioactive parent nucleus is itself radioactive. The...Introduction: Hadrons are the particles that exerts strong nuclear force on each other. They are...Given: The actual wavelength of light is 656.3 nm . The distance of galaxy is 5.00×106 c⋅y . Formula...Given: The reaction is p+p→Λ0+Κ0+p+(?) . Introduction: The reaction process for given particle is...Introduction: Neutrinos travel at the speed nearly equal to the speed of light. Time required is the...Given: The given reaction is Σ0→Λ0+γ . Formula used: Write the expression for total energy of the...
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Physics for Scientists and Engineers
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PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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