Dual Nature Of Light Question 232

Question: A photon of wavelength 4400 Å is passing through vacuum. The effective mass and momentum of the photon are respectively [AMU 2000]

Options:

A) $ 5\times {{10}^{-36}}kg,1.5\times {{10}^{-27}},kg\text{-}m/s $

B) $ 5\times {{10}^{-35}}kg,1.5\times {{10}^{-26}},kg\text{-}m/s $

C) Zero, $ 1.5\times {{10}^{-26}},kg\text{-}m/s $

D) $ 5\times {{10}^{-36}}kg,,1.67\times {{10}^{-43}}kg\text{-}m/s $

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Answer:

Correct Answer: A

Solution:

$ p=\frac{h}{\lambda }=\frac{6.6\times {{10}^{-34}}}{4400\times {{10}^{-10}}}=1.5\times {{10}^{-27}}kg.m/s $ and mass $ m=\frac{p}{c}=\frac{1.5\times {{10}^{-27}}}{3\times 10^{8}}=5\times {{10}^{-36}}kg $