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  4. If a star emitting light of wavelength 500 nm is moving towards earth with a velocity of 1.5 × 106 m / s then the shift in the wavelength due to doppler's effect will be:

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Q. If a star emitting light of wavelength $500\, nm$ is moving towards earth with a velocity of $1.5 \times 10^{6}\,m / s$ then the shift in the wavelength due to doppler's effect will be:

Solution:

$\lambda'=\lambda\left(1-\frac{v}{c}\right)=5000\left(1-\frac{1.5 \times 10^{6}}{3 \times 10^{8}}\right)\,\mathring{A}$
$\lambda'=4975\,\mathring{A}$
$\Delta \lambda=25\,\mathring{A}$