The observed wavelength of light coming from | vedclass

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(D) The Doppler effect for light states that the fractional change in wavelength is given by $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $v$

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Receding from the earth with a velocity equal to $1.5 	imes 10^6 \ m/s$

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(D) The Doppler effect for light states that the fractional change in wavelength is given by $\frac{\Delta \lambda}{\lambda} = \frac{v}{c}$,where $v$ is the relative velocity of the source and $c$ is the speed of light $(3 	imes 10^8 \ m/s)$.Given that the wavelength increases by $0.5\%$,we have $\frac{\Delta \lambda}{\lambda} = \frac{0.5}{100} = 0.005$.Substituting this into the formula: $0.005 = \frac{v}{3 	imes 10^8 \ m/s}$.Solving for $v$: $v = 0.005 	imes 3 	imes 10^8 \ m/s = 1.5 	imes 10^6 \ m/s$.Since the wavelength has increased (redshift),the galaxy is receding from the earth.

The observed wavelength of light coming from a distant galaxy is found to be increased by $0.5\%$ as compared with that coming from a terrestrial source. The galaxy is

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