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An electron in a hydrogen atom makes a t...

An electron in a hydrogen atom makes a trsnsition `n_(1)rarrn_(2)` where `n_(1)` and `n_(2)` are principal quantum numbers of the two states. Assume the Bohr model to be valid. The time period of the electron in the initial state is eight times that in the final state. The possible values of `n_(1)` and `n_(2)` are

A

`n_(1) = 4, n_(2) = 2`

B

`n_(1) = 3, n_(2) = 1`

C

`n_(1) = 8, n_(2) = 1`

D

`n_(1) = 6, n_(2) = 3`

Text Solution

Verified by Experts

The correct Answer is:
B
`T prop n^(3)`
`T_(i)/T_(f)=1/27=(n/m)^(3) implies n/m=1/3`
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The electron in a hydrogen atom makes a transition n_(1) rarr n_(2) , where n_(1) and n_(2) are the principle quantum numbers of the two states. Assume the Bohr model to be valid. The time period of the electron in the initial state is eight times that in the final state. the possible values of n_(1) and n_(2) are

Knowledge Check

  • The electron in hydrogen atom makes a transition n_(1)ton_(2) where n_1 and n_2 are the principal quantum number of two states. Assuming the Bohr model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible value of n_1 and n_2 are:

    A
    `n_1=4,n_2=2`
    B
    `n_1=8,n_2=2`
    C
    `n_1=8,n_2=1`
    D
    `n_1=6,n_2=2`

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