A galaxy is moving away from the Earth such t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given,the original wavelength $\lambda = 600 \ nm = 600 	imes 10^{-9} \ m$. The observed wavelength $\lambda' = 601 \ nm = 601 	imes 10^{-9} \ m

Vedclass · Accepted Answer

$500$

Vedclass · Answer

(A) Given,the original wavelength $\lambda = 600 \ nm = 600 	imes 10^{-9} \ m$. The observed wavelength $\lambda' = 601 \ nm = 601 	imes 10^{-9} \ m$. The change in wavelength is $\Delta \lambda = \lambda' - \lambda = (601 - 600) 	imes 10^{-9} \ m = 1 	imes 10^{-9} \ m$. According to the Doppler effect for light,the relation is $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $v$ is the speed of the galaxy and $c$ is the speed of light $(c = 3 	imes 10^8 \ m/s)$. Therefore,$v = c \cdot \frac{\Delta \lambda}{\lambda} = (3 	imes 10^8 \ m/s) \cdot \frac{1 	imes 10^{-9} \ m}{600 	imes 10^{-9} \ m}$. $v = 3 	imes 10^8 \cdot \frac{1}{600} = \frac{3 	imes 10^8}{600} = 0.5 	imes 10^6 \ m/s$. $v = 500,000 \ m/s = 500 \ km/s$.

$A$ galaxy is moving away from the Earth such that a spectral line at $600 \ nm$ is observed at $601 \ nm$. Then,the speed of the galaxy with respect to the Earth is (in $km \ s^{-1}$)

Similar Questions

If the shift of wavelength of light emitted by a star is towards the violet end of the spectrum,then this shows that the star is

Apparent wavelength of light coming from a star moving away from Earth is $0.02 \%$ more than its actual wavelength. The velocity of the star is ........ $km/s$.

When the wavelength of light coming from a distant star is measured,it is found to be shifted towards the red end of the spectrum. What is the conclusion?

The velocity of light emitted by a source $S$ observed by an observer $O$,who is at rest with respect to $S$,is $c$. If the observer moves towards $S$ with velocity $v$,the velocity of light as observed will be

If a star is moving towards the Earth,then the spectral lines are shifted towards:

Vedclass Test Series

Exam Paper Generator

Online Exam Module