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The product of linear momentum and angul...

The product of linear momentum and angular momentum of an electron of the hydrogen atom is proportional to `n^(x)`, where x is

A

1

B

-2

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
For the electron in the hydrogen atom, angular momentum
`mvr = (nh)/(2pi)" i.e., "mvr propto n`
and linear momentum `=mv=(me^(2))/(2epsilon_(0)nh)i.e., mv propto 1/n`
`therefore mvr times mv propto n times 1/n`
`therefore` Linear momentum `times` Angular momentum `propto 1 " or "n^(@)`.
`therefore x=0`.
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