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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脳1018Hz
  2. The photon energy is3.55脳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 is位=35pm

02

Significance of frequency of x-ray:

The frequency of x-ray is given by-

f=c位

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

03

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

The frequency of x-ray is given by-

f=c位 鈥�.. (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=h位

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Most popular questions from this chapter

What are

(a) the Compton shift 螖位,

(b) the fractional Compton shift螖位位 , and

(c) the change螖E in photon energy for light of wavelength 位=590鈥�nmscattering from a free, initially stationary electron if the scattering is at to the direction of the incident beam? What are

(d) 螖位,

(e) 螖位位, and

(f) 螖Efor90鈭� scattering for photon energy 50.0 keV (x-ray range)?

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?

An ultraviolet lamp emits light of wavelength 400 nm at the rate of 400 W. An infrared lamp emits light of wavelength 700 nm, also at the rate of 400 W. (a) Which lamp emits photons at the greater rate and (b) what is that greater rate?

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.

Electrons accelerated to an energy of 50鈥塆别痴have a de Broglie wavelength 位small 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 位?

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