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KCET2024PhysicsDual Nature of Matter

A galaxy is moving away from the Earth so that a spectral line at 600 nm is observed at 601 nm . Then, the speed of the galaxy with respect to the Earth is

Options

  1. A500 ~km ~s ⁻¹
  2. B50 ~km ~s ⁻¹
  3. C200 ~km ~s ⁻¹
  4. D20 ~km ~s ⁻¹

Correct answer

A. 500 ~km ~s ⁻¹

Step-by-step solution

Given, =600 ~nm =6 10⁻⁷ ~m =(601-600) 10⁻⁹ ~m =1 10⁻⁹ ~m We know that, = v c v=c =3 10^8 1 10⁻⁹ 6 10⁻⁷ = 1 2 10^6 ~m / s =500 10^3 ~m / s =500 ~km / s

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