Write the formula for the Doppler shift for light.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) For light,the Doppler shift is defined by the change in frequency or wavelength due to the relative motion between the source and the observer.
If the source is moving with a velocity $v$ relative to the observer (where $v \ll c$),the Doppler shift in frequency $\Delta \nu$ is given by:
$\Delta \nu = \nu \left( \frac{v}{c} \right) \cos \theta$
where:
$\nu$ is the original frequency,
$c$ is the speed of light,
$v$ is the relative velocity,
$\theta$ is the angle between the direction of motion and the line of sight.
Alternatively,the shift in wavelength $\Delta \lambda$ is given by:
$\Delta \lambda = \lambda \left( \frac{v}{c} \right) \cos \theta$

Explore More

Similar Questions

Light coming from a star is observed to have a wavelength of $3737 \ \mathring{A}$,while its real wavelength is $3700 \ \mathring{A}$. The speed of the star relative to the earth is (Speed of light $c = 3 \times 10^8 \ m/s$).

The apparent wavelength of light from a star moving away from the earth is $0.02 \%$ more than the actual wavelength. The velocity of the star is $[c = 3 \times 10^8 \ m/s]$. (in $km/s$)

Due to the Doppler effect, the shift in wavelength observed is $0.1 \text{ Å}$ for a star producing a wavelength of $6000 \text{ Å}$. The velocity of recession of the star will be: (in $\text{ km/s}$)

$A$ heavenly body is receding from Earth such that the fractional change in wavelength $\lambda$ is $1$. What is its velocity?

$A$ galaxy is moving away from the Earth at a speed of $286 \, km/s$. The shift in the wavelength of a red line at $630 \, nm$ is $x \times 10^{-10} \, m$. The value of $x$,to the nearest integer,is........
[Take the value of speed of light $c$ as $3 \times 10^{8} \, m/s$]

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo