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The allowed energy for the particle for ...

The allowed energy for the particle for a particular value of n is proportional to

A

`a^(-2)`

B

`a^(-3//2)`

C

`a^(-1)`

D

`a^(2)`

Text Solution

Verified by Experts

For the standing wave, `a=n (lambda)/(2) or lambda =(2a)/(n)`
`p= (h)/(lambda)= (nh)/(2a) , E= (p^2)/(2m) = (n^2 h^2)/(2a^2m) : E prop a^2`
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