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Chapter 38: Q29P (page 1182)

What (a) frequency, (b) photon energy, and (c) photon momentum magnitude (in keV/c) are associated with x-rays having wavelength 35.0pm?

Short Answer

Expert verified
  1. The required frequency is8.57×1018Hz
  2. The photon energy is3.55×104eV
  3. The photon momentum magnitude is 35.4keV/c.

Step by step solution

01

Identification of the given data:

The given data is listed below.

The wavelength of x-ray isλ=35pm

02

Significance of frequency of x-ray:

The frequency of x-ray is given by-

f=cλ

The frequency in the above equation is denoted by f, c is the speed of light, and λis the wavelength.

03

(a) To determine the frequency of x-ray:

The frequency of x-ray is given by-

f=cλ ….. (1)

04

(b) To determine the photon energy of x-ray:

The photon energy of x ray is given by-

05

(c) Determine the photon momentum magnitude of x-ray:

The photon momentum is given by-

p=hλ

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Most popular questions from this chapter

For three experiments, Fig. 38-25 gives the transmission coefficient T for electron tunneling through a potential barrier, plotted versus barrier thickness L. The de Broglie wavelengths of the electrons are identical in the three experiments. The only difference in the physical setups is the barrier heights Ub. Rank the three experiments according to Ubgreatest first.

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

Calculate the de Broglie wavelength of (a) a 1.00keV electron, (b) a1.00keV photon, and (c) a1.00keVneutron.

Question: For the arrangement of Figs. 38-14 and 38-15 , electrons in the incident beam in region 1 have energy E=800eV and the potential step has a height of U1=600eV. 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 500×105electrons against the potential step, approximately how many will be reflected?

Fig 38-14

Fig 38-15

Electrons accelerated to an energy of 50 GeVhave a de Broglie wavelength λsmall enough for them to probe the structure within a target nucleus by scattering from the structure. Assume that the energy is so large that the extreme relativistic relation p=Ecbetween momentum magnitude pand energy Eapplies. (In this extreme situation, the kinetic energy of an electron is much greater than its rest energy.)

(a) What is λ?

(b) If the target nucleus has radius R=5.0 fm, what is the ratio Rλ?
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