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(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

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$2 	imes 10^7 \ m/s$

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(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:

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