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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

Light of wavelength 200nm shines on an aluminum surface; 4.20 eV is required to eject an electron. What is the kinetic energy of (a) the fastest and (b) the slowest ejected electrons? (c) What is the stopping potential for this situation? (d) What is the cut-off wavelength for aluminum?

The wavelength of the yellow spectral emission line of sodium is 590nm. At what kinetic energy would an electron have that wavelength as its de Broglie wavelength?

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.)

Question: Show that Eq.38-24 is indeed a solution of Eq.38-22 by substituting 蠄(x) and its second derivative into Eq.38-22 and noting

that an identity results.

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.
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