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A galaxy is moving away from the earth a...

A galaxy is moving away from the earth at a speed of `286kms^(-1)`. The shift in the wavelength of a red line at 630 nm is `x xx 10^(-10)m`. The value of x, to be the nearest integer, is .......... [Take the value of speed of light c, as `3 xx 10^(8) ms^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
6
`v.=vsqrt((1+v//c)/(1-v//c))`
`v lt lt lt c` thus
`lamda.=lamda(1+(v)/c)implies lamda.-lamda=(lamdav)/c`
`= (630xx10^(-9)xx286xx10^3)/(3xx10^8) = 210 xx286 xx10^(-14)=6xx10^(-10)`
`x =6`
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