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Chapter 38: Q30P (page 1182)

What is the maximum wavelength shift for a Compton collision between a photon and a free photon?

Short Answer

Expert verified

2.64 fm

Step by step solution

01

Identification of the given data

The given data is listed below as-

There is a collision between a photon and a free photon.

02

Significance of the momentum of a photon

The momentum of a photon is related to its energy and is given by-

p=Ec

Here, E is the rest energy of a photon which is given by E=mec2.

me is the mass of electron and c is the speed of light.

03

To find the magnitude of maximum wavelength

The equation for wavelength is given by-

螖位max=hcmpc21-cos蠒

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Most popular questions from this chapter

(a) If the work function for a certain metal is 1.8 eV, what is the stopping potential for electrons ejected from the metal when light of wavelength 400 nm shines on the metal? (b) What is the maximum speed of the ejected electrons?

In about 1916, R. A. Millikan found the following stopping potential data for lithium in his photoelectric experiments:

Wavelength (nm)

433.9

404.7

365.0

312.5

253.5

Stopping potential (V)

0.55

0.73

1.09

1.67

2.57

Use these data to make a plot like Fig. 38-2 (which is for sodium) and then use the plot to find (a) the Planck constant and (b) the work function for lithium.

A stream of protons, each with a speed of0.9900c, are directed into a two-slit experiment where the slit separation is 4.00脳10-9m. A two-slit interference pattern is built up on the viewing screen. What is the angle between the center of the pattern and the second minimum (to either side of the center)?

Assuming that your surface temperature is98.6掳鈥塅and that you are an ideal blackbody radiator (you are close), find

(a) the wavelength at which your spectral radiancy is maximum,

(b) the power at which you emit thermal radiation in a wavelength range of 1.00鈥�nmat that wavelength, from a surface area of4.00鈥塩尘2, and

(c) the corresponding rate at which you emit photons from that area. Using a wavelength of500鈥�nm (in the visible range),

(d) recalculate the power and

(e) the rate of photon emission. (As you have noticed, you do not visibly glow in the dark.)

Show that when a photon of energy Eis scattered from a free electron at rest, the maximum kinetic energy of the recoiling electron is given by

E=E2E+mc2/2
See all solutions

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