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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-

Δλmax=hcmpc21-cosϕ

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Most popular questions from this chapter

Question:For the arrangement of Figs. 38-14 and 38-15, electrons in the incident beam in region 1 have a speed of 1.60×107m/sand region 2 has an electric potential of V2-500V. What is the angular wave number in (a) region 1 and (b) region 2? (c) What is the reflection coefficient? (d) If the incident beam sends 3.00×109electrons against the potential step, approximately how many will be reflected?

Fig 38-14


Fig 38-15

The table gives relative values for three situations for the barrier tunneling experiment of Figs. 38-16 and 38-17. Rank the situations according to the probability of the electron tunneling through the barrier, greatest first.

Electron Energy

Barrier Height

Barrier Thickness

(a)

E

5E

L

(b)

E

17E

L/2

(c)

E

2E

2L

In the photoelectric effect (for a given target and a given frequency of the incident light), which of these quantities, if any, depending on the intensity of the incident light beam: (a) the maximum kinetic energy of the electrons, (b) the maximum photoelectric current, (c) the stopping potential, (d) the cut-off frequency?

Through what angle must a200 keVphoton be scattered by a free electron so that the photon loses 10%of its energy?

At what rate does the Sun emit photons? For simplicity, assume that the Sun’s entire emission at the rate of 3.9×1026Wis at the single wavelength of 550 nm.
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