Question

The momentum of a photon of an electromagnetic radiation is $3.3\times {10}^{-29}kgm{s}^{-1}$. What is the frequency of the associated wave?

• A. $1.5\times {10}^{13}Hz$
• B. $7.5\times {10}^{12}Hz$
• C. $6\times {10}^{3}Hz$
• D. $3\times {10}^{3}Hz$

Answer 1

The correct option is A $1.5\times {10}^{13}Hz$

Momentum of photon
$p=\frac{h\nu }{c}\Rightarrow \nu =\frac{cp}{h}wherec=3\times {10}^{8}m/sh=6.6\times {10}^{-34}Js\therefore \nu =\frac{cp}{h}=\frac{3\times {10}^8\times 3.3\times {10}^{-29}}{6.6\times {10}^{-34}}=1.5\times {10}^{13}Hz$