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A particle moving on x - axis has potent...

A particle moving on x - axis has potential energy `U = 2 - 20x + 5x^(2)` joule along x - axis. The particle is relesed at `x = -3`. The maximum value of `x` will be (`x` is in metre)

A

`5m`

B

`3m`

C

`7m`

D

`8m`

Text Solution

Verified by Experts

The correct Answer is:
C
`U=2-20x+5x^(2)`
`F=-(dU)/(dx)=20-10x`
At equilibrium position `,F=0`
`20-10x=0`
`rArr x=2`
Since particle is released at `x=-3` , therefore amplitude of particle is 5 .

It will osciallte about `x=2` with an amplitude of 5.
`:. `maximum value of `x` will be 7.
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