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U is the PE of an oscillating particle a...

U is the PE of an oscillating particle and F is the force acting on it at a given instant . Which of the following is true ?

A

`(U)/(F) + x = 0`

B

`(2U)/(F) + x = 0`

C

`(F)/(U) + x = 0`

D

`(F)/(2U) + x = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
The potential energy , U = `(1)/(2) k x^(2)`
`2 U = k x^(2)`
`2U = - Fx" " [because F = -kx]`
or `" " (2U)/(F) = -x`
or `(2U)/(F) + x = 0`
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