The mass of a photon with a wavelength equal to `1.54 xx 10^-8 cm` is.

Options

A. `0.8268xx10^(-34)` kg
B. `1.2876xx10^(-33)` kg
C. `1.4285xx10^(-32)` kg
D. `1.8884xx10^(-32)` kg

Answer

C

Explanation

We know that `lambda=h/"mv"`, `therefore m=h/(lambdav)`
The velocity of photon (v)`=3xx10^8 msec^(-1)`
`lambda=1.54xx10^(-8) cm =1.54xx10^(-10)` meter
`therefore m=(6.626xx10^(-34)Js)/(1.54xx10^(-10) m xx 3xx 10^8 m sec^(-1))`
`=1.4285xx10^(-32)` kg