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An orbit electron in the ground state of...

An orbit electron in the ground state of hydrogen has an angular momentum `L_(1)`, and an orbital electron in the first orbit in the ground state of lithium (dounle ionised positively) has an angular momentum `L_(2)`. Then :

A

`L_(1) = L_(2)`

B

`L_(1) = 3L_(2)`

C

`L_(2) = 3L_(1)`

D

`L_(2) = 9L_(1)`

Text Solution

Verified by Experts

The correct Answer is:
A

Doubly ionised positively lithium ion is a hydrogen like atom. Hence,
`L = mvr = (nh)/(2pi)` fro both ltbrlt which sepends only on the value of `n`.
Aslo fro both `n = 1`.
Hence, `L_(1) = L_(2) = (h)/(2pi)`, Hence `(a)`.
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