Question

What is the frequency of photon whose momentum is $1.1\times {10}^{-23}kgm{s}^{-2}$?

• A. $5\times {10}^{13}Hz$
• B. $5\times {10}^{17}Hz$
• C. $0.5\times {10}^{18}Hz$
• D. $5\times {10}^{18}Hz$

Answer 1

Answer: (A)

$5\times {10}^{13}Hz$

as $\frac{p^2}{2m}=G\nu$
given $P=1.1\times {10}^{-23}$ $Kgm{s}^{-2}$
mass of proton = $1.67\times {10}^{-27}$ $Kg$
$h=6.626\times {10}^{-34}$ $Kg{m}^2/s$
$\nu =\frac{p^2}{2mG}$ $=\frac{(1.1\times {10}^{-23}{)}^{2}K{g}^2{m}^2{s}^{-4}}{2\times 1.67\times {10}^{-27}\times 6.626\times {10}^{-34}Kg{m}^2/s}$
$\nu =0.05\times {10}^{15}Hz$
$\nu =5\times {10}^{13}Hz$