Dual Nature Of Light Question 108

Question: A photon of wavelength 6630 Å is incident on a totally reflecting surface. The momentum delivered by the photon is equal to

Options:

A) 6.63 ´ 10?27 kg-m/sec

B) 2 ´ 10?27 kg-m/sec

C) 10?27 kg-m/sec

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

The momentum of the incident radiation is given as $ p=\frac{h}{\lambda } $ . When the light is totally reflected normal to the surface the direction of the ray is reversed. That means it reverses the direction of it?s momentum without changing it?s magnitude \ $ \Delta p=2p=\frac{2h}{\lambda }=\frac{2\times 6.6\times {{10}^{-34}}}{6630\times {{10}^{-10}}} $ = 2 ´ 10?27 kg-m/sec.