Question

Find the energy, the frequency and the momentum of an X-ray photon of wavelength 0.10 nm.

Answer 1

The ans is in the attachment

Answer 2

a.Photon’s energy, $E=12.42 \mathrm{keV}$

b.Frequency is$\Rightarrow v=3 \times 1018 \mathrm{Hz}$

c. Momentum of the photon, P

Explanation:

It is given:

X-ray photon’s wavelength, $\lambda=0.1 \mathrm{nm}$

Light’s speed,$c=3 \times 10^{8} \mathrm{m} / \mathrm{s}$

(a) Photon’s energy, E is shown as

$E=h c \lambda$

$\Rightarrow \mathrm{E}=1242 \text { eV } 0.1 \Rightarrow \mathrm{E}=12.42 \mathrm{keV} \approx 12.4 \mathrm{keV}$

(b) Frequency is shown as $v=c \lambda$

$\Rightarrow v=3 \times 1018 \mathrm{Hz}$

(c) Momentum of the photon, P is shown as

$P=E_{C} \Rightarrow P=6.613 \times 10-24 \mathrm{kg}-\mathrm{m} / \mathrm{s}$, which is approximately $6.62 \times 10-24 \mathrm{g}-\mathrm{m} / \mathrm{s}$