The spectral line for a given element in light received from a distance star is shifted towards longer wavelength by 0.32 % . What is velocity of star if C = `3 xx 10^(8)` m/s

Options

A. `9.6 xx 10^(4)` m/s
B. `9.6 xx 10^(2)` m/s
C. `9.6 xx 10^(3)` m/s
D. `9.6 xx 10^(5)` m/s.

Answer

D

Explanation

`(Delta lambda)/(lambda) = 0.32 % = (0.32)/(100) `
Recession speed of star is
`U_(s) = C(Delta lambda)/(lambda) `
`U_(s) = 3 xx 10^(8) ((0.32)/(100) ) `
`U_(s) = 9.6 xx 10^(5) ms^(-1)`.
Hence the correct choice is (d) .