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  • What is the momentum of a photon with wavelength  ?<div class='q

What is the momentum of a photon with wavelength \lambda =500 \: nm ?

Option: 1

3.97 \times 10^{-24} \mathrm{~kg} \mathrm{~m} / \mathrm{s}


Option: 2

1.33 \times 10^{-27} \mathrm{~kg} \mathrm{~m} / \mathrm{s}


Option: 3

1.99 \times 10^{-22} \mathrm{~kg} \mathrm{~m} / \mathrm{s}


Option: 4

6.63 \times 10^{-34} \mathrm{~kg} \mathrm{~m} / \mathrm{s}


Answers (1)

best_answer

The momentum of a photon is given by p=\frac{h}{\lambda} ,

 where h is Planck's constant and {\lambda}  is the wavelength of the photon. 

Substituting the given values, we get

p=\frac{6.626 \times 10^{-34} \mathrm{~J} \mathrm{~s}}{500 \times 10^{-9} \mathrm{~m}} \approx 1.99 \times 10^{-22} \mathrm{~kg} \mathrm{~m} / \mathrm{s}

 Therefore, option (C) is the correct answer.

 

 

Posted by

HARSH KANKARIA

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