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 from the constellation Virgo is observed to increase in wavelength by $0.4\%$. With respect to Earth,the constellation is:

$A$ star moves away from the Earth at a speed of $0.8\,c$ while emitting light of frequency $6 \times 10^{14} \,Hz$. What frequency will be observed on the Earth? ($c =$ speed of light)

What is the Doppler effect for light? Derive the formula for the Doppler shift.

What speed (in $km/s$) should a galaxy move with respect to us so that the sodium line at $589.0 \;nm$ is observed at $589.6 \;nm$?

The time period of rotation of the sun is $25$ days and its radius is $7 \times 10^8 \ m$. The Doppler shift for the light of wavelength $6000 \ \mathring{A}$ emitted from the surface of the sun will be ...... $\mathring{A}$.

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