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If an electron in a hydrogen atom jumps ...

If an electron in a hydrogen atom jumps from the `3rd` orbit to the `2nd` orbit, it emits a photon of wavelength `lambda`. When it jumps form the `4th` orbit to the `3dr` orbit, the corresponding wavelength of the photon will be

A

`20/7lamda`

B

`20/13lamda`

C

`16/25lamda`

D

`9/16 lamda`

Text Solution

Verified by Experts

`1/(lamda)=v=RZ^(2)[1/(n_(2)^(2))-1/(n_(1)^(2))]`
Transition `3to2implies` Wavelength `lamda`
Transition `4to3implies` Wavelength `lamda'=?`
`(1/(lamda)=RZ^(2)(1/(2^(3))-1/(3^(2))))/(1/(lamda')=RZ^(2)(1/(3^(2))-1/(4^(2))))implies(lamda')/(lamda)=20/7implieslamda'=(20lamda)/7`
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