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How the linear velocity v of an electro...

How the linear velocity v of an electron in the Bohr orbit is related to its quantum number n ?

A

`v prop 1/n`

B

`v prop 1/ (n^2)`

C

`v prop 1/sqrt(n)`

D

`v prop n`

Text Solution

Verified by Experts

The correct Answer is:
A
we know , for n -th orbit ,
`mv_nr_n=(nh)/(2pi) or, v_n =(nh)/(2pi mr_n)`
`therefore v_n prop 1/n [ because r_n =(in_0n^2h^2)/(pimZe^2)]`
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