In the hydrogen spectrum,the wavelength of th | vedclass

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

Question

(B) The Doppler shift for light is given by the formula $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $v$ is the relative speed of the source a

Vedclass · Accepted Answer

$2 	imes 10^7 \ m/s$

Vedclass · Answer

(B) The Doppler shift for light is given by the formula $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $v$ is the relative speed of the source and $c$ is the speed of light.Given: $\lambda = 656 \ nm$,$\Delta \lambda = 706 \ nm - 656 \ nm = 50 \ nm$,and $c = 3 	imes 10^8 \ m/s$.Substituting the values into the formula $v = \frac{c \Delta \lambda}{\lambda}$:$v = \frac{3 	imes 10^8 	imes 50}{656}$$v = \frac{1500}{656} 	imes 10^7 \ m/s$$v \approx 2.28 	imes 10^7 \ m/s$.Rounding to the nearest provided option,we get $v = 2 	imes 10^7 \ m/s$.

In the hydrogen spectrum,the wavelength of the ${H_\alpha}$ line is $656 \ nm$,whereas in the spectrum of a distant galaxy,the ${H_\alpha}$ line wavelength is $706 \ nm$. The estimated speed of the galaxy with respect to the Earth is:

Similar Questions

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 $\text{ km/s}$)

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

$A$ 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 $3 \times 10^{8} \, m/s$]

The Doppler effect is applicable for

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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module