By considering the integral ∫02π cosmlϕ cosm'lϕ dϕ, where ml≠m'l ,confirm that the wavefunctions cosmlϕ and cosm'lϕ for a particle on a ring are orthogonal.

Q: Calculate the moment of inertia of a hollow sphere of mass M and radius R about its diameter.

A: In order to determine the moment of inertia of hollow sphere (mass=M, radius=R) about its diameter, ...

Q: A tank containing methanol has walls 2.50 cm thick made of glass of refractive index 1.550. Light fr...

A: Let n1, n2, and n3 denote the refractive index of the air, glass, and the methanol, θ1, θ1, and θ1 d...

Q: Assume that jj-coupling holds, list the possible terms (j1, j2)J of the following electronic configu...

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Q: An automobile is traveling west. Can it have a velocity toward the west and at the same time have an...

A: in this case the automobile is moving west which clearly means that the velocity is towards the west...

Q: According to the photon model, light carries its energy in packets called quanta or photons. Why the...

A: The packages of electromagnetic energy are carried by particles called photons. Photons are elementa...

Q: Will the Higgs-Boson particle create a black hole and destroy the Earth?

A: No, it will not create a black hole and certainly not big enough to destroy the earth.

Q: Solve the question mentioning each step using concept of statistical mechanics:   Consider a particl...

A: the average value of position is defined as <x> = position in the range E to E+dx / partition ...

Q: An electric field given by É = 4.11 - 4.5(y² + 2.6)ĵ pierces the Gaussian cube of edge length 0.580 ...

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for...

Q: Where is the Sun relative to Mars on April 14, 2012?

A: On April 14, 2012 Sun was 57.4 million miles away from Mars.

Q: For the hydrogen atom in the 4d excited state fi nd the possible values of n,ℓ,mℓ,ms, and mj. Give th...

A: The 4d excited state implies that the electron’s principal quantum number (n) is 4 and its azimuthal...

Q: An electron gun in CRT emits electron which moves with the speecd of 3×106 m/s it pasess through a u...

A: Given information: The velocity of electrons, v=3×106 m/s The magnetic field, B=4.0 T The angle betw...

Q: . Calculate the electric flux through the surface.

A: Flux is defined as number of electric field lines passing through a surface. Flux due to electric fi...

Q: Find the gradient of the following functionsa) F(x,y,z)= x2 + y3 + z4b) F(x,y,z)= ex sin y ln zThe h...

A: The gradient of the function is defined as follows Where  are unit vectors along the +x-axis, +y-a...

Q: The Stern-Gerlach experiment is always performed with the beam of nuetral atoms wouldn't be easier t...

A: The Stern-Gerlach experiment is performed to demonstrate the spatial orientation of angular momentum...

Q: Use the analytical technique for adding vectors to find the total displacement of a person who walks...

A: Displacement along the x-axis Dx=D1cosθ1+D2cosθ2+D3cosθ3=25.0 mcos49.0°+23.0 mcos15.0°+32.0 mcos-68....

Q: What do you think would be different in everyday life if the speed of light were 10 m/s instead of 3...

A: Light speed is comparable to our daily travel speed when the speed of light is effects of relativity...

Q: Starting from the front door of a ranch house, you walk 60.0 mdue east to a windmill, turn around, a...

A: The expression for average velocity is, vav=total displacmenttotal time takenvav=dt Here the displac...

Q: A person is pushing a box of mass 5 kg horizontally across a floor using a constant force of 13 N.  ...

A: F-Ffriction=maa=F-Ffrictionm=13 N-3 N5 kg=2 m/s2

Q: Children playing in a playground on the flat roof of a city school lose their ball to the parking lo...

A: (a) launch speed ux=xtucosθ=xtu=xtcosθ=24.0 m2.2 scos53.0°=18.12698 m/s≈18.1 m/s

Q: A student is running at her top speed of5.0 m/s to catch a bus, which is stopped at the bus stop. Wh...

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Q: Can someone please show all the work for these problems please?

A:

Q: Suppose that stars were born at random times over the last 1010 years. The rate of star formation is...

A: Number of stars in our galaxy = 3 x 1011 stars time to consider = 1010 years rate of star formation ...

Q: 3. a) Write down major differences between general wave (i.e. sound wave) and EM wave. Explain the p...

A:

Q: 3c:

A: The free body diagram of  the blocks are, For the mass m1=1 kg Equating the forces, T-fk,1=m1an1=m1...

Q: The equation of state of a gas is given by p=nRT/(V-b). (a) Derive the expression of expansion coef...

A:

Q: A puck is sliding around a circular track that is banked at an angle ϕ with respect to the horizonta...

A:   N = Normal force on the car from surface M = Mass of the car g = Acceleration due to gravity = 9.8...

Q: Thanks!

A: We can plot the square of wave function after normalising it.

Q: The mineral chrysotile is a noncarcinogenic asbestos mineral that is based on the sheet structure sh...

A: Given: The mineral chrysotile is a non-carcinogenic asbestos mineral that is based on the sheet stru...

Q: The force on a particle of mass 2.0 kg varies with position according to F(x) = −3.0x2 (x in meters,...

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Q: A) When the sandbag is is halfway tot he ground, what is its acceleration?

A:   When the baloon is detached from the sandag , let it be at the height x m     from the ground .   ...

Q: A and B are Hermitian operators and AB – BA = iC. Prove that C is a Hermitian operator.

A: An operator is said to be hermitian if  Where + means hermitian conjugate.

Q: Please use the information given to answer parts A and B. Thank you in advanced!

A: The average speed of the object is given by   The average velocity of the object is given by   Dis...

Q: from a plate. Find the moment of inertia of the remaining portion about z- axis.

A: Given that side of the square plate (L) =4R mass of the square plate = M radius of the hole cuts are...

Q: Two small slits are in a thick wall, 35.0 cm apart. A sound source from the behind the wall emits a ...

A: The condition for constructive interference is given by Where d = distance between the slits, m = o...

Q: If C vec = A vec. + B vec , what must be true about the directions and magnitudesof A vec and B vec ...

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Q: An electromagnetic wave of wavelength 435 nm is traveling in vacuum in the -z-direction. The electri...

A: Given: An electromagnetic wave of wavelength 435 nm is traveling in vacuum in the -z-direction. The ...

Q: The voltage produced by a single nerve or muscle cell is quite small, but there are many species of ...

A: In the saltwater, there are more ions that can carry the charge than the freshwater. Therefore, the ...

Q: An electron is moving with a speed of 8.00 x106 m/s. What is the speed of a proton that has the same...

A: Given: An electron is moving with a speed of 8.00 x106 m/s.

Q: baseball thrown at an angle of 60.0° above the horizontalstrikes a building 18.0 m away at a point 8...

A: The vertical and horizontal displacement of the ball at time t can be expressed as; y=uyt-12gt2     ...

Q: what are relative advantages and disadvantage of ampere law and Bit ana bio savart law for calculati...

A: According to Biot-Savart’s law, the magnetic field due to a current carrying conductor at a distance...

Q: The tension in cable CD is T = 525 lb. Consider the force which this cable exerts on point C and det...

A: Consider the vector diagram of the problem as shown below:     Here, the vectors p, q, and r are th...

Q: 7) Calculate the divergence and Curl, of the following functionsa) V= x 2 i +3xy2 j -2xyz kb) V=xy i...

A: Given information: The vectors are V=x2 i^+3xy2 j^-2xyz k^V=xy i^+2yz j^+3zx k^V=y2 i^+(2xy+z2) j^+2...

Q: An electron in a magnetic field moves along a circle with a radius of 25.4 m with a speed that follo...

A: The angular velocity be defined as, ω=vtr=v0e-btr

Q: Maximum Displacement An 8-lb weight stretches a spring 6 ft, thereby reaching its equilibrium positi...

A: Let m, k, and x0 denote the mass, the spring constant, and the equilibrium displacement of the given...

Q: At the surface of Jupiter’s moon Io, the acceleration due togravity is g = 1.81 m/s2. A watermelon w...

A: Mass is the amount of matter contained in an object. It is a property which is independent of the va...