The spectral line for a given element in the light received from a distant star is shifted towards longer wavelength side by `0.032%`. Deduce the velocity of star in the line of sight.

Explanation

Here, `(Delta lambda)/(lambda) = (0.032)/(100), v = ?`
Since the wavelength of light from a star is shiffting towards longer wavelength side, therefore `Delta lambda` is positive, hence star is moving away from the earth i.e., `v` is negative.
`v = -(Delta lambda)/(lambda)c = -(0.032)/(100) xx 3 xx 10^(8)`
`= -9.6 xx 10^(4)ms^(-1)`