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Question

The electron in a hydrogen atom makes a transition form n=n1 to n=n2 state. The time period of the electron in the initial state(n1) is eight times that in the final state(n2). The possible values of n1 and n2 are.

A
n1=8,n2=1
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B
n1=4,n2=2
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C
n1=2,n2=4
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D
n1=1,n2=8
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Solution

The correct option is B n1=4,n2=2
We have the equation Tαn3 where T is the time period.
Given Tn1=8Tn2
Hence n1=2n2
Therefore the possible value of n1 and n2 are 4 and 2 respectively.

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