The 6563 Å Hα line emitted by hydrogen in a star is found to be red-shifted by 15 Å. Estimate the speed with which the star is receding from the Earth.
The 6563 Å Hα line emitted by hydrogen in a star is found to be red-shifted by 15 Å. Estimate the speed with which the star is receding from the Earth.

Answer –

It is given in the question –

λ = 6563 Å

and, Δλ = 15 Å

Since the star is receding, the velocity (v) will be negative.

We know that, Δλ = – vλ/c

Therefore, v = – cΔλ/λ = – (3 x 108) x (15 Å/ 6563 Å) = – 6.86 x 105 m/s