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Energy levels A,B and C of a certain ato...

Energy levels A,B and C of a certain atom correspond to increasing values of energy i.e. `E_(A) lt E_(B) lt E_(C)` .If `lamda_(1),lamda_(2),lamda_(3)` are the wavelengths of radiation corresponding to transition C to B,B to A and C to A respectively, which of the following statements is correct ?

A

`lambda_3=lambda_1+lambda_2`

B

`lambda_1+lambda_2+lambda_3=0`

C

`lambda_3^2=lambda_1^2+lambda_2^2`

D

`lambda_3=(lambda_1lambda_2)/(lambda_1+lambda_2)`

Text Solution

Verified by Experts

The correct Answer is:
D
From energy conservation
`E_(CA)=E_(CB)+E_(BA)`
`(hc)/lambda_3=(hc)/lambda_1+(hc)/lambda_2`
`lambda_3=(lambda_1lambda_2)/(lambda_1+lambda_2)`
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