SATHEE: Atomic Structure Question 445

Atomic Structure Question 445

Question: The mass of a photon with a wavelength equal to $1.54 \times 10^{- 8} c m$ is

Options:

A) $0.8268 \times 10^{- 34} k g$

B) $1.2876 \times 10^{- 33} k g$

C) $1.4285 \times 10^{- 32} k g$

D) $1.8884 \times 10^{- 32} k g$

Show Answer

Answer:

Correct Answer: C

Solution:

We know that $λ = \frac{h}{m v}$ ;

$∴$ $m = \frac{h}{m λ}$ The velocity of photon (v) = $3 \times 10^{8} m \sec^{- 1}$ $λ = 1.54 \times 10^{- 8} c m = 1.54 \times 10^{- 10} m e t e r$

$∴$ $m = \frac{6.626 \times 10^{- 34} J s}{1.54 \times 10^{- 10} m \times 3 \times 10^{8} m, \sec^{- 1}}$ $=, 1.4285 \times 10^{- 32} k g$ .

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