Problem 9.24 If you take the model in Ex. 4.1 at face value, what natural frequencydo you get? Put in the actual numbers. Where, in the electromagnetic spectrum, doesthis lie, assuming the radius of the atom is 0.5 Å? Find the coefficients of refractionand dispersion, and compare them with the measured values for hydrogen at 0°Cand atmospheric pressure: A = 1.36 × 10-4, B = 7.7 x 10-15 m².

To solve this problem, we need to understand a bit about the classical model of an atom in an…

Answered: Problem 9.24 If you take the model in…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem 9.22 Calculate the reflection coefficient for light at an air-to-silver inter- face (μ₁ = μ₂ = µ0, €1 = €0,σ = 6 × 107 (2· m)¯¹), at optical frequencies (@ = 4 × 1015/s).
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Problem 1.6.5. A magnetic moment µ in a magnetic field h has energy E+ = Fµh when it is parallel (antiparallel) to the field. Its lowest energy state is when it is aligned with h. probabilities for being parallel or antiparallel given by P(par)/P(antipar) = exp(-E+/T]/ exp[-E-/T] where T is the absolute temperature. Using the fact that the total probability must add up to 1, evaluate the absolute probabilities for the two orientations. Using this show that the average magnetic moment along the field h is m = µ tanh(uh/T) Sketch this as a function of temperature at fixed h. Notice that if h = 0, m vanishes since the moment points up and down with %3D However at any finite temperature, it has a nonzero %3D equal probability. Thus h is the cause of a nonzero m. Calculate the susceptibility, dm lh=0 as a function of T.
1.7.12 Classically, orbital angular momentum is given by L = r xp, where p is the linear momentum. To go from classical mechanics to quantum mechanics, replace p by the operator -V (Section 14.6). Show that the quantum mechanical angular momentum operator has Cartesian components (in units of h). a ay a Ly=-i(22 -x- az Lx -i a az a əx L₂=-i (x-²) ay
Show complete and explicit solution with step by step explanation. Note: Please don't skip any mathematical algebra.
4.31 If the Earth radiates as a blackbody at an equivalent blackbody temperature TE = 255 K, calculate the radiative equilibrium temperature of the satellite when it is in the Earth's shadow. [Hint: Let dE be the amount of radiation flux imparted to the satellite by the flux density dE received within the infinitesimal element of solid angle dw.] Then, dE = mr-Ido where r is the radius of the satellite and I is the intensity of the radiation emitted by the Earth, i.e., the flux density of blackbody radiation, as given by (4.12), divided by 7. Integrate the above expression over the arc of solid angle subtended by the Earth, as computed in the previous exercise, noting that the radiation is isotropic, to obtain the total energy absorbed by the satellite per unit time Q = 2.21r?oT£ Finally, show that the temperature of the satellite is given by Earth satellite
The example below comes out of griffiths intro to electrodynamics. I was wondering if you can make a spherical and cylindrical problem like this example, one of each and use to divergence theorem to prove both sides of integrals from gauss divergence theorem. Hope this makes sense and thank
EXAMPLE. 1.4 Show that for large values of principal quantum number, the frequency of an electron rotating in adjacent energy levels of hydrogen atom and the radiated frequency for a transition between these levels all approach the same value.
Please answer #1 ( ALL PARTS), if you can please answer #2 as well, thank you!
A. at pattern. Let's ssuming that the e angular spatial poral frequencies w, correspond to e is then W, 1) ir) [7.33] avelength of the quals the group eing amplitude- e waves of fre- of modulating and sum over is called the wer sideband. 7.19 Given the dispersion relation w = ak', compute both the phase and group velocities. -7.20* Using the relation 1/v = dk/dv. prove that 1 Vg I V₂ 7.21* In the case of lightwaves, show that V = 1 Ve v dv v² dv V 7.22 The speed of propagation of a surface wave in a liquid of depth much greater than λ is given by v dn c dv 11 -+- C solve 7.25 only where g = acceleration of gravity, λ = wavelength, p = density. Y = surface tension. Compute the group velocity of a pulse in the long wavelength limit (these are called gravity waves). 7.23* Show that the group velocity can be written as dv dλ 7.24 Show that the group velocity can be written as gλ 2πΥ + 2πT pλ Vg = V-A ( n + w(dn/dw) 7.25 With the previous problem in mind prove that dn (v) dv n₂ = n(v) + v.…
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I need help with problem 4.12 (see picture). This problem involves gamma ray detectors. Problem 4.10: Calculate the amplitude of the voltage pulse produced by collecting a charge equal to that carried by 10^6 electrons on a capacitance of 100pF. (e=1.602x10^-19 C). Thank you.

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