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In hydrogen spectrum the wavelength of H...

In hydrogen spectrum the wavelength of `H_(a)` line is `656nm, ` where in the spectrum of a distance galaxy `H_(a)` line wavelength is `706 nm` . Estimated speed of the galaxy with respect to earth is ,

A

`2 xx10^(8) m s^(-1)`

B

`2 xx10^(7) m s^(-1)`

C

`2 xx10^(6) m s^(-1)`

D

`2 xx10^(5) m s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
b
According to Doppler's effect of light, the wavelength shift is given by
`Delta lambda=(V)/(c) xx lambda`
`rArr V=(Delta lambdaxxc)/(lambda) = (706 -656)/(656)xx3xx10^(8)`
`=2 xx 10^(7) m s^(-1)`.
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