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Consider Bohr's theory for hydrogen atom...

Consider Bohr's theory for hydrogen atom. The magnitude of angular momentum, orbit radius and frequency of the electron in `n^(th)` energy state in a hydrogen atom are l, r &f respectively. Find out the value of `x`. If (frl) is directly proportional to `n^(x)`.

Text Solution

Verified by Experts

The correct Answer is:
`0`

`"frl" " "f=(1)/(T)=(upsilon)/(2pir)`
`(upsilon)/(2pir)xxrxxl`
`=(upsilon)/(2pi)xx(nh)/(2pi)=(v_(0)xx(z)/(n))/(2pi)xx(nh)/(2pi)="independen of" 'n'`
So, `"frl" alphan^(@)`.
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