1.

The P.E. of a simple harmonic oscillator, when the particle is half way to its end point is :

Answer»

`(2)/(3)E`
`(E)/(4)`
`(E)/(8)`
`(E)/(2)`.

Solution :TOTAL ENERGY of simple HARMONIC oscillator
`E=(1)/(2)m omega^(2)r^(2)`
and potential energy `E_(P)=(1)/(2)m omega^(2)X^(2)`
When `x=(r^(2))/(2)` then `E_(P)=(1)/(2)m omega^(2)(r^(2))/(4)`
`IMPLIES""E_(P)=(E)/(4)`
Correct choice is (b).


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