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  4. Due to Doppler’s effect the shift in wavelength observed is 0.1 mathringA for a star producing wavelength 6000 mathringA. Velocity of recession of the star will be

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Q. Due to Doppler’s effect the shift in wavelength observed is $0.1\mathring{A}$ for a star producing wavelength $6000\mathring{A}$. Velocity of recession of the star will be

KCETKCET 2019Wave Optics

Solution:

The formula for Doppler shift $\frac{\Delta\lambda}{\lambda}=\frac{v}{c}$
$v=\frac{\Delta \lambda}{\lambda}. c=\frac{0.1}{6000}\times3\times10^{8}=0.5\times10^{4}=5 \, km \, s^{-1}$