Question

The momentum of a photon of wavelength 0.01 $A^0$ is

• A. $6.6\times {10}^{-32}kg$ m/s
• B. $6.6\times {10}^{-20}kg$ m/s
• C. $6.6\times {10}^{-22}kg$ m/s
• D. $6.6\times {10}^{-12}kg$ m/s

Answer 1

The correct option is C $6.6\times {10}^{-22}kg$ m/s

de Broglie wavelength $\lambda =\frac{h}{p}$

Thus momentum of the photon $p=\frac{h}{\lambda }$

where wavelength of the photon $\lambda =0.01\times {10}^{-10}m$

$p=\frac{6.6\times {10}^{-34}}{0.01\times {10}^{-10}}$

$p=6.6\times {10}^{{}^{-22}}kgm/s$

So, the answer is option (C).