Question

A light source approaches the observer with velocity 0.8 c. The doppler shift for the light of wavelength $5500 \AA$ is
(a) $4400 \AA$
(b) $1833 \AA$
(c) $3167 \AA$
(d) $7333 \AA$

Answer 1

I think the answer is option ( c).
Hope this answer helps you in your studies please mark it as brainlist answer.

Answer 2

Answer:

c) 3167A

Explanation:

Velocity of the light source = 0.8c (Given)

Doppler shift for the light of wavelength = 5500 λ (Given)

The Doppler effect also known as the Doppler shift is the overall change in frequency or wavelength of a wave in relation to an observer that is moving relative to the wave source.  

According to doppler’s principle λ = √1-v/c/ 1+v/c for v = c

λ = 5500 √( 1 – 0.8) / ( 1+ 0.8) = 1833.3

Therefore, the shift  = 55001833.3

= 3167 AA

Therefore, the doppler shift for the light of wavelength  5500 AA  is 3167AA.