Atomic Structure Question 445

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

Options:

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

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

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

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

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Answer:

Correct Answer: C

Solution:

  • 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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