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

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$3 	imes 10^6 \ m/s$

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(B) The Doppler effect for light is given by the formula $\Delta \lambda = \lambda \frac{v}{c}$,where $\Delta \lambda$ is the change in wavelength,$\lambda$ is the real wavelength,$v$ is the relative velocity,and $c$ is the speed of light.Given: $\lambda = 3700 \ \mathring{A}$,observed wavelength $\lambda' = 3737 \ \mathring{A}$,and $c = 3 	imes 10^8 \ m/s$.The change in wavelength is $\Delta \lambda = \lambda' - \lambda = 3737 - 3700 = 37 \ \mathring{A}$.Substituting the values into the formula: $37 = 3700 	imes \frac{v}{3 	imes 10^8}$.Solving for $v$: $v = \frac{37 	imes 3 	imes 10^8}{3700} = \frac{111 	imes 10^8}{3700} = 3 	imes 10^6 \ m/s$.

Light coming from a star is observed to have a wavelength of $3737 \ \mathring{A}$,while its real wavelength is $3700 \ \mathring{A}$. The speed of the star relative to the earth is (Speed of light $c = 3 \times 10^8 \ m/s$).

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