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If the potential energy of the particle ...

If the potential energy of the particle is `alpha-(beta)/(2)x^(2)`, then force experienced by the particle is:

A

`F = (beta)/(2)x^(2)`

B

`F = betax`

C

`F = -betax`

D

`F = -(beta)/(2)x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`F= (-dU)/(dx) , U = alpha = - (beta)/2 x^2`
`=(-d)/(dx) (alpha - beta/2 x^2) = beta/2 (d)/(dx) (x^2)`
`F= betax`
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