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Chapter 41: Q. 4 (page 1206)

What is the difference betweensand S?

Short Answer

Expert verified

The difference between sandSis given below in step.

Step by step solution

01

Given Information 

We need to find the difference between sandS.

02

Explanation

The quantum number s=12is the spin of an electron. It the orbital quantum number l. though it is not an integer, its allowed values differ by the integer $|pm$1. Sis the actual numerical value of the spin angular momentum. It is related to sbylocalid="1650177857071" S=ss+1h.

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Most popular questions from this chapter

Suppose you have a machine that gives you pieces of candy when you push a button. Eighty percent of the time, pushing the button gets you two pieces of candy. Twenty percent of the time, pushing the button yields 10pieces. The average number of pieces per push is Navg=2×0.80+10×0.20=3.6. That is, 10pushes should get you, on average, 36pieces. Mathematically, the average value when the probabilities differ is Navg=∑(Ni×Probabilityofi). We can do the same thing in quantum mechanics, with the difference that the sum becomes an integral. If you measured the distance of the electron from the proton in many hydrogen atoms,

you would get many values, as indicated by the radial probability density. But the average value of rwould be

ravg0=∫0∞rPr(r)dt

Calculate the average value of rin terms of aBfor the electron in the 1sand the 2pstates of hydrogen.

In FIGURE Q41.12,a photon with energy 2.0eVis incident on an atom in the pstate. Does the atom undergo an absorption transition, a stimulated emission transition, or neither? Explain.

A 1.0mW helium-neon laser emits a visible laser beam with a wavelength of 633nm. How many photons are emitted per second?

Draw a series of pictures, similar to the ground states of Ca,Ni,As, and Kr.

Two excited energy levels are separated by the very small energy difference ∆E. As atoms in these levels undergo quantum jumps to the ground state, the photons they emit have nearly identical wavelengths λ.

a. Show that the wavelengths differ by

∆λ=λ2hc∆E

b. In the Lyman series of hydrogen, what is the wavelength difference between photons emitted in the n=20to n=1transition and photons emitted in the n=21to n=1transition?
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