The 6563 Å Hα line emitted by hydrogen

Question:

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.

Solution:

λ = 6563 Å

Δλ = 15 Å

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

Δλ = – vλ/c

v = – cΔλ/λ

= – (3 x 108) x (15 Å/ 6563 Å)

= – 6.86 x 105 m/s

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