i) Contrast the processes of induced and spontaneous emission. We need to know the meaning of Einstein's coefficients.  ii) What is the frequency difference between the 20th and 21st resonant longitudinal modes if the cavity length is 20 cm?

Q: 5. Kittel Ch3-7. Zipper problem. A zipper has N links; each link has a state in which it is closed…

A:

Q: 1. Show that the function f(x) = cos(kx) satisfies the classical wave equation. %3D

A: Given, Function f(x) = cos(kx)

Q: are Lanonical transformations. and what is their advantage2 prove the following relations for the…

A: Canonical transformation is a mathematical technique which is used to change the basis from one set…

Q: 3. Explain the Bloch theory (do not need to be proved), then obtain the eigenvalue equation for the…

A:

Q: DATA TABLE Calculate the experimental value of the frequency f for each hanging mass and the…

A:

Q: Following is a 1D wavefunction that is associated with a particle moving between -o and +0o: Y(x) =…

A:

Q: A. We again consider the photoelectric effect apparatus and will assume that the light source is on.…

A: Disclaimer: “Since you have asked posted a question with multiple sub-parts, we will solve the first…

Q: 1.How closely spaced are the modes of this 1 cm cubic cavity near I = 600 nm? You can answer in…

A:

Q: 2. In the above result, we say that operator r represents position and the operator in equation (5)…

A:

Q: 4. State the relation of the reciprocal basis vectors to the direct basis vectors to obtain the G.T…

A: 4)Let a1→, a2→, a3→ are the primitive translation vectors of a direct laticeand b1→, b2→, b3→ are…

Q: Find the Fourier Transform for each of the following 2-D continuous functions. a) 1+ 8(x,y) b)…

A:

Q: ections by T/2. are the corresponding operat- and their matrix representat of cotog llowa

A: It is given that the rotations of equal gates around the directions x and y by π2.

Q: a) When Vp not equal to Vg ..then how does Vp×Vg=c^2 as mentioned in the expert answer ? The photo…

A:

Q: Given are the two wave functions 4₁(x) = A sin(x) and (x)=B cos(2x) Determine, if y(x) and ¼Â(x) are…

A:

Q: 2. Find the group and phase velocity of a guided mode in a hollow waveguide. (i) Show that their…

A:

Q: An isotropic quasi-monochromatic point source radiates at a rate of 200 W. What is the propagating…

A:

Q: the Hermitian condition: 2x A) 2x B) -2i0 C)

A:

Q: a 2 otherwise

A: The calculation is shown below,

Q: SC demodulation. 2. What are the differences between homodyne and super heterodyne receivers.

A: Given: To explain the effect of phase shift, differences and the benefits are given as,   As per…

Q: 1.36. Determine the probability that a photon is detected at the first minimum ofa five-slit grating…

A: As we know, εR=ε1+ε2+ε3=r sinωt+sinωt+ϕ+sinωt+2ϕ=r Img expiωt+expiωt+ϕ+expiωt+2ϕ=r Im…

Q: Q5: Apply the Ľ² and Lz operator on the spherical harmonics (wavefunctions) below. a) (2) Cos b)…

A:

Q: As defined, øn is not normalized. Determine the value of the normalization constant that creates a…

A: Solution attached in the photo.

Q: Explain the concept of duality in physics, focusing on the wave-particle duality of light and…

A: Duality in physics alludes to the possibility that specific substances, like particles or waves, can…

Q: a) Assuming the presence of sources J(7, t) and p(7, t), write out Maxwell's equations in the time…

A:

Q: 1 Find the sum of 1+ 12 + --, using Fourier series expansion if f(x) = a when [0,1] and 2 T-x 32…

A: We have given series1+112+132+152+................+1(2s+1)2if f(x)=a when (0,π)and 2π-x, when (π,2π)

Q: 1. We consider a HeNe laser operating at a wavelength 1-633 nm. The laser resonator is 0.8 m long.…

A: 1. Given that- The laser resonator is 0.8m long. The linewidth is broadened to 2Ghz due to doppler…

Q: 9 Suppose we have a whirling string (spinning around its axis) of length 8 meters. Suppose it is…

A: Given , Length, l = 8 meters Linear density, = 0.06 Kg / m angular velocity, w = 8 rad / sec   The…

Q: 2. Give expressions which determine the most probable position for the electron in region of space.

A: The most probable position for electron :

Q: 7-11. Two cylindrical copper electrodes of radius a are oriented normal to a silicon disk of…

A: Given:-

Q: 2. Determine the transmission coefficient for a rectangular barrier (same as [Grf] Equation 2.148,…

A:

Q: Explain clearly how the double slit experiment can show both the particle and wave nature of matter.…

A:

Q: Q4. Proof that the probability current for a wavefunction of the form (a) j = R(x)|² h ³s(x) m əx…

A: Since we answer up to one question, we will answer the first question only. Please resubmit and…

Q: b) Determine ex-dy sin (dx c). A 3D Fourier transform of f(r) is given as f(k) = 1 Determine f(r).…

A: To determine the inverse Fourier transform of sF(k) = 1/(√(2π))^3k^2, we can use the inverse Fourier…