Question

What should be the mass of the photon of sodium if its wavelength is $5894\mathring{A}$. The velocity of light is $3\times {10}^{8}metre/second$ and the value of h is $6.6252\times {10}^{-34}kg{m}^2/s?$

• A. $3.746\times {10}^{-26}kg$
• B. $3.746\times {10}^{-30}kg$
• C. $3.746\times {10}^{-34}kg$
• D. $3.746\times {10}^{-36}kg$

Answer 1

The correct option is D $3.746\times {10}^{-36}kg$

According to debroglie Wavelength

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

$m=\frac{h}{\lambda u}$

$m=\frac{6.6252\times {10}^{-34}kg{m}^2/s}{3\times {10}^{8}m/s\times 5894\times {10}^{-10}m}$

$m=3.746\times {10}^{-36}$