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

Wavelength of line emitted by hydrogen, λ = 6563 Å = 6563 × 10−10 m. Star’s red shift, Speed of light, Let the velocity of the star receding away from ...

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Standard XII

Physics

Minima in Diffraction

The 6563 Å H ...

Question

The 6563 Å 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.

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Solution

Wavelength of line emitted by hydrogen,

λ = 6563 Å

= 6563 × 10⁻¹⁰ m.

Star’s red-shift,

Speed of light,

Let the velocity of the star receding away from the Earth be v.

The red shift is related with velocity as:

Therefore, the speed with which the star is receding away from the Earth is 6.87 × 10⁵ m/s.

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