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Consider an atom mad up of a proton and ...

Consider an atom mad up of a proton and a hypothetical particle of triple the mass of electron but having same charge as the electron. Apply the Bohr model and consider all possilble transitions of this hypothetical particle from thre second excited state to the lower states. the possilble wavelengths emitted is (are) (given in terms of he Rydberg constant R for the hydrogen atom )

A

`(8)/(5R)`

B

`(3)/(8R)`

C

`(4)/(9R)`

D

`(12)/(5R)`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D

Ryberg `prop` mass of electron.
`(1)/(lamda)=3R[(1)/(n_(2))-(1)/(3^(2))]n=1,2implies(1)/(lamda)=3R[(1)/((1))-(1)/(9))]`
`(1)/(lamda_(2))=3R[(1)/((2)^(2))-(1)/(9)]implies(1)/(lamda_(3))=3R[(1)/((1)^(2))-(1)/((2)^(2))]`
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