1.

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 from the 4^(th) orbit to the 3^(rd) orbit, the corresponding wavelength of the photon will be

Answer»

`(20)/(7) lambda`
`(20)/(13) lambda`
`(16)/(25) lambda`
`(9)/(16) lambda`

Solution :Wavelength of photon when ELECTRON makes transition from third orbit to second orbit
`(1)/(lambda)=R((1)/(2^(2))-(1)/(3^(2)))...(1)`
Wavelength of photon when electron makes transition from FORTH orbit to third orbit
`(1)/(lambda.)=R((1)/(3^(2))-(1)/(4^(2)))...(2)`
by taking ratio of (1) and (2)
`(lambda.)/(lambda)=((1)/(4)-(1)/(9))/((1)/(9)-(1)/(16))=((5)/(36))/((7)/(144))=(20)/(7)`
`:. lambda.=(20)/(7) lambda`


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