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Question

Physics Question on Dual nature of radiation and matter

The momentum of a photon of energy 1 MeV in kg m/s, will be :

A

0.33 x 106

B

8 x 10-24

C

5 x 10-23

D

5 x 10-22

Answer

5 x 10-22

Explanation

Solution

The momentum of a photon can be calculated using the formula: p =Ec\frac{E}{c}, where E is the energy and c is the speed of light.
Given that the energy is 1 MeV (1 MeV = 1.6 x 10-13 Joules) and the speed of light is approximately 3 x 108 m/s, we can calculate p as follows:

p = (1.6x1013J)(3x108m/s)\frac{(1.6 x 10^{-13} J)} {(3 x 10^8 m/s) }= 5.33 x 10-22 kg m/s.

Therefore, the correct option is (D): 5 x 10-22