For a specific wavelength 670 ; nm of light c | vedclass

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(C) Given:$\lambda_{	ext{emitted}} = 670 \; nm$$\lambda_{	ext{obs}} = 670.7 \; nm$$c = 3 	imes 10^{8} \; m/s$The Doppler shift formula for light wh

Vedclass · Accepted Answer

$3.13 	imes 10^{5} \; m/s$

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(C) Given:$\lambda_{	ext{emitted}} = 670 \; nm$$\lambda_{	ext{obs}} = 670.7 \; nm$$c = 3 	imes 10^{8} \; m/s$The Doppler shift formula for light when $v $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$Where $\Delta \lambda = \lambda_{	ext{obs}} - \lambda_{	ext{emitted}} = 670.7 - 670 = 0.7 \; nm$.Substituting the values:$\frac{0.7}{670} = \frac{v}{3 	imes 10^{8}}$$v = \frac{0.7 	imes 3 	imes 10^{8}}{670}$$v = \frac{2.1 	imes 10^{8}}{670} \approx 0.003134 	imes 10^{8} \; m/s$$v \approx 3.13 	imes 10^{5} \; m/s$.

For a specific wavelength $670 \; nm$ of light coming from a galaxy moving with velocity $v$,the observed wavelength is $670.7 \; nm$. The value of $v$ is ............

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