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Chapter 38: Q31P (page 1182)

What percentage increase in wavelength leads to a 75 % loss of photon energy in a photon-free electron collision?

Short Answer

Expert verified

300鈥�%

Step by step solution

01

Identification of the given data

The given data is listed below as-

There is a 75 % loss of photon energy

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 byE=mec2.

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

03

To find the percentage increase in wavelength

Let E is the energy of photon initially andE'is the energy of photon after collision. The fractional energy loss is given by-

螖EE=E鈭�E'E=螖位位+螖位

Now,

螖位位=螖E/E1鈭�螖E/E=0.751鈭�0.75=3=300鈥�%

Thus, the percentage increase in wavelength is 300鈥�%.

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Most popular questions from this chapter

Show that|蠄|2=|蠄|2 , with related as in Eq. 38-14. That is, show that the probability density does not depend on the time variable.

Question:A 0.30MeVproton is incident on a potential energy barrier of thickness 10fmand height 10.0MeV.What are (a) the transmission coefficient T , (b) the kinetic energy Kt the proton will have on the other side of the barrier if it tunnels through the barrier, and (c) the kinetic energy Kr it will have if it reflects from the barrier? A 3.00MeV deuteron (the same charge but twice the mass as a proton) is incident on the same barrier. What are (d) T , (e) Kt, and (f) Kr?

What are (a) the energy of a photon corresponding to wavelength 1.00nm, (b) The kinetic energy of an electron with de Broglie wavelength 1.00nm, (c) the energy of a photon corresponding to wavelength1.00fm, and (d) the kinetic energy of an electron with de Broglie wavelength1.00fm?

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.

A bullet of mass travels at1000m/s . Although the bullet is clearly too large to be treated as a matter wave, determine what Eq. 38-17 predicts for the de Broglie wavelength of the bullet at that speed.
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