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A hydrogen atom is in an exited state of...

A hydrogen atom is in an exited state of principal quantum number n it emits a photon of wavelength `lambda` when returns to the ground state The value of n is

A

`sqrt(lambda R (lambda R - 1))`

B

`sqrt((lambda (R - 1))/(lambda R))`

C

`sqrt((lambda R)/(lambda R - 1))`

D

`sqrt lambda (R - 1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(hc)/lambda = R hc (1 - 1//n^(2))`
or `n = sqrt((lambda R)/(lambda R - 1))`
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