Question

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

1. The required frequency is$8.57\times {10}^{18}Hz$
2. The photon energy is$3.55\times {10}^{4}eV$
3. The photon momentum magnitude is 35.4keV/c.

Step-by-step solution

Identification of the given data:

The given data is listed below.

The wavelength of x-ray is$\lambda =35pm$

Significance of frequency of x-ray:

The frequency of x-ray is given by-

$\mathrm{f}=\frac{\mathrm{c}}{\mathrm{\lambda }}$

The frequency in the above equation is denoted by f, c is the speed of light, and $\mathrm{\lambda }$is the wavelength.

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

The frequency of x-ray is given by-

$f=\frac{c}{\lambda }$ ….. (1)

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

The photon energy of x ray is given by-

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

The photon momentum is given by-

$p=\frac{h}{\lambda }$