Due to the Doppler effect,the shift in wavele | vedclass

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Question

(C) The Doppler shift formula for light is given by $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $\Delta \lambda$ is the shift in wavelength,$

Vedclass · Accepted Answer

$5$

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(C) The Doppler shift formula for light is given by $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $\Delta \lambda$ is the shift in wavelength,$\lambda$ is the original wavelength,$v$ is the velocity of the source,and $c$ is the speed of light.Given: $\Delta \lambda = 0.1 \ \mathring{A}$,$\lambda = 6000 \ \mathring{A}$,and $c = 3 	imes 10^5 \ km/s$.Rearranging the formula for velocity $v$: $v = \frac{\Delta \lambda}{\lambda} 	imes c$.Substituting the values: $v = \frac{0.1}{6000} 	imes 3 	imes 10^5 \ km/s$.$v = \frac{1}{60000} 	imes 3 	imes 10^5 = \frac{30}{6} = 5 \ km/s$.Thus,the velocity of recession of the star is $5 \ km/s$.

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

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