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The figure shows the variation of potent...

The figure shows the variation of potential energy of a particle as a funcation pf x, the x-coordination of the region. It has been assumed that potential energy depends only on `x`. For all other values `x, U` is zero. i.e. for` x lt - 10` and `x gt 15, U = 0`.

If total mechanical energy of the particle is `25J`, then it can found in the region

A

`-10ltxlt-5` and `6ltxlt15`

B

`-10ltxlt0` and `6 ltxlt10`

C

`-5ltxlt6`

D

`-10ltxlt10`

Text Solution

Verified by Experts

The correct Answer is:
A
`U=E-K=25-K`
Since, `Kge0`
`:. U le 25J`
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Knowledge Check

  • The figure shows the variation of potential energy of a particle as a funcation pf x, the x-coordination of the region. It has been assumed that potential energy depends only on x . For all other values x, U is zero. i.e. for x lt - 10 and x gt 15, U = 0 . If total mechanical energy of the particle is -40J , then it can be found in region.

    A
    `xlt10` and `xgt15`
    B
    `-10ltxlt5` and `6ltxlt15`
    C
    `10ltxlt15`
    D
    It is not possible

  • Figure shows the variation of potential energy of a particle as a function of x, the x-coordinate of the region. It has been assumed that potential energy depends only on x. For all other values of x, U is zero, i.e., xlarr10 and xgt15 , U=0 . If the total mechanical energy of the particle is -40J , then it can be found in region

    A
    (a) `xlarr10` and `xgt15`
    B
    (b) `-10ltxlarr5` and `6ltxlt15`
    C
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  • Figure shows the variation of potential energy of a particle as a function of x, the x-coordinate of the region. It has been assumed that potential energy depends only on x. For all other values of x, U is zero, i.e., xlarr10 and xgt15 , U=0 . If the particle is isolated and its total mechanical energy is 60J , then

    A
    (a) The particle can be found anywhere from `-ooltxltoo`.
    B
    (b) The particle's maximum kinetic energy is `95J`.
    C
    (c) The particle's kinetic energy is not getting zero
    D
    (d) All of the above

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