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  4. A star is moving away from Earth and shift in spectral line of wavelength 5700 Å is 1.90 Å . Velocity of the star is

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Q. A star is moving away from Earth and shift in spectral line of wavelength $5700 \, Å$ is $1.90 \, Å$ . Velocity of the star is

NTA AbhyasNTA Abhyas 2020Waves

Solution:

$\Delta \lambda =\frac{\upsilon}{c} \, \lambda $
$\therefore \upsilon=\frac{c \, \Delta \lambda }{\lambda }$
Or $\upsilon=\frac{3 \times 10^{8} \times 1.9 \times 10^{- 10}}{5700 \times 10^{- 10}}=100 \, km \, s^{- 1}$