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The electron in a hydrogen atom jumps fr...

The electron in a hydrogen atom jumps from ground state to the higher energy state where its velcoity is reduced to one-third its initial value. If the radius of the orbit in the ground state is `r` the radius of new orbit will be

A

`3 r`

B

`9r`

C

`(r )/(3)`

D

`(r )/(9)`

Text Solution

Verified by Experts

The correct Answer is:
B

`v = (1)/(137)(c )/(n)` or `prop(1)/(n)`
Since `v` is reduced to one-third therefore
`n = 3`
Now, `r prop n^(2)`.
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The orbital electron of the hydrogen atom jumps from the ground state to a higher energy state and its orbital velocity is reduced to one third of its initial value. If the radius of the orbit in the ground state is r, then what is the radius of the new orbit ?

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Knowledge Check

  • If an orbital electron of the hydrogen atom jumps from the groud state to a higher energy state, its orbital value. If the radius of the electron orbit in the ground state is r , then the radius of the new orbit would be:

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