A galaxy is moving away from the earth at a speed of $286km{s}^{- 1}$ . The shift in the wavelength of a red line at $630nm$ is $x \times {10}^{- 10}m$ . The value of $x$ , to the nearest integer, is ___ .
[Take the value of the speed of the light $c$ , as $3 \times {10}^{8}m{s}^{- 1}$ ]

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A galaxy is moving away from the earth at a speed of $286km{s}^{- 1}$ . The shift in the wavelength of a red line at $630nm$ is $x \times {10}^{- 10}m$ . The value of $x$ , to the nearest integer, is ___ .

[Take the value of the speed of the light $c$ , as $3 \times {10}^{8}m{s}^{- 1}$ ]

Quantrex Academy · Accepted Answer

Correct answer: 0

⇒ (Δλ)/(λ)c = v , ⇒ Δλ = (v)/(c) × λ = 286 3 × 10 ^ 5 × 630 × 10 ^ - 9 = 6 × 10 ^ - 10 m

A galaxy is moving away from the earth at a speed of 286km s ^ - 1...

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