MCQ
The mass of a photon with a wavelength equal to $1.54 \times {10^{ - 8}}\,cm$ is
  • A
    $0.8268 \times {10^{ - 34}}\,kg$
  • B
    $1.2876 \times {10^{ - 33}}\,kg$
  • $1.4285 \times {10^{ - 32}}\,kg$
  • D
    $1.8884 \times {10^{ - 32}}\,kg$

Answer

Correct option: C.
$1.4285 \times {10^{ - 32}}\,kg$
c
(c) We know that $\lambda = \frac{h}{{mv}}$ ; $\therefore $ $m = \frac{h}{{m\lambda }}$

The velocity of photon $(v)$ = $3 \times {10^8}\,m\,{\sec ^{ - 1}}$

$\lambda = 1.54 \times {10^{ - 8}}\,cm = 1.54 \times {10^{ - 10}}\,meter$

$\therefore $ $m = \frac{{6.626 \times {{10}^{ - 34}}\,Js}}{{1.54 \times {{10}^{ - 10}}\,m \times 3 \times {{10}^8}\,m\,{{\sec }^{ - 1}}}}$

          $ = \,1.4285 \times {10^{ - 32}}\,kg$.

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