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The 6563 Å H(2) line emitted by hydrogen...

The `6563 Å H_(2)` 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 earth.

Text Solution

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Here, `lambda = 6563 Å, Delta lamnda = + 15 Å, c = 3 xx 10^(8)ms^(-1)`
Since the star is receding away, hence its velocity `v` is negative (i.e. if `Delta lambda` positive, `v` is negative)
`:. Delta lambda = - v lambda//c or v = -(c Delta lambda)/(lambda) = -(3 xx 10^(8) xx 15)/(6563) = - 6.86 xx 10^(5) ms^(-1)`
Here, negative sign shows recession of star.
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