The apparent wavelength of light from a star | vedclass

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

Question

(B) The Doppler effect for light is given by the formula $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $\Delta \lambda$ is the change in wavele

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(B) The Doppler effect for light is given by the formula $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $\Delta \lambda$ is the change in wavelength,$\lambda$ is the actual wavelength,$v$ is the velocity of the star,and $c$ is the speed of light.Given that the apparent wavelength is $0.02 \%$ more than the actual wavelength,we have $\frac{\Delta \lambda}{\lambda} = 0.02 \% = \frac{0.02}{100} = 2 	imes 10^{-4}$.Substituting the values into the formula: $2 	imes 10^{-4} = \frac{v}{3 	imes 10^8 \ m/s}$.Solving for $v$: $v = (2 	imes 10^{-4}) 	imes (3 	imes 10^8 \ m/s) = 6 	imes 10^4 \ m/s$.Converting to $km/s$: $v = \frac{6 	imes 10^4}{10^3} \ km/s = 60 \ km/s$.

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 $km/s$)

Similar Questions

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 $589.6 \;nm$?

$A$ light source approaches the observer with velocity $0.8 c$. The Doppler shift for the light of wavelength $5500 \ \mathring{A}$ is.....$\mathring{A}$.

The $6563 \ \mathring{A}$ line emitted by a hydrogen atom in a star is found to be red-shifted by $5 \ \mathring{A}$. The speed with which the star is receding from the Earth is:

$A$ rocket is moving away from the Earth at a speed of $10^{6} \ m/s$. If the wavelength of the light wave emitted by it is $5700 \ \mathring{A}$,what will be its Doppler shift in $\mathring{A}$?

If a source of light is moving away from a stationary observer,then the frequency of light wave appears to change because of

Vedclass Test Series

Exam Paper Generator

Online Exam Module