1.

Energy levels A, B, C of a certain atom corresponding to increasing values of energy are E_A lt E_(B) lt E_(C) lambda_(1),lambda_(2),lamda_(3) are the corresponding wavelengths of the radiations corresponding to the transitions C to B, B to A and C to A respectively. Which of the following statements is true ?

Answer»

`lambda_(3)=lambda_(1)+lambda_(2)`
`lambda_(2)=(lambda_(1) lambda_(2))/(lambda_(1)+lambda_(2))`
`lamda_(1)+lambda_(2)+lambda_(3)=0`
`lambda_(3)^(2)=lambda_(1)^(2)+lambda_(2)^(2)`

Solution :`(E_(C)-E_(B))+(E_(B)-E_(A)) =(E_(C)-E_(A))`
`or (hc)/(lambda_(1))+(hc)/(lambda_(2))=(hc)/(lambda_(3))`
`or (1)/(lambda_(1))+(1)/lambda_(2)=(1)/(lambda_(3))`
`lambda_(3)=(lambda_(1).lambda_(2))/(lambda_(1)+lambda_(2))`


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