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The angular momentum of an electron in a...

The angular momentum of an electron in a hydrogen atom is proportional to (when n is principle quantum number)

A

`r^(2)`

B

`1/r`

C

`r^(1/2)`

D

`1/(sqrt(r))`

Text Solution

Verified by Experts

The correct Answer is:
C
Angular momentum `=mvr`
Also from Bohr.s theory `=(e^(2))/(r^(2))=(mv^(2))/r`
`implies(e^(2))/(r^(2))xxmr^(2)=(mv^(2))/rxxmr^(2)`
`implies^(2)v^(2)r^(2)=e^(2)mr`
Hence c is the correct option.
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