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Kinetic energy of a particle is increase...

Kinetic energy of a particle is increased by `1%`. By how much percentage momentum of the particle will increase ?

Text Solution

Verified by Experts

`p=sqrt(2Km)` or `Pprop K^(1/2)`
For small `%` changes,
`%` change in `p=1/2`(`%`change in `K`)
`=1/2(1%) =0.5%`.
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Knowledge Check

  • If the kinetic energy of a particle is increased by 10 times, the percentage change in the de Broglie wavelength of the particle is

    A
    `25%`
    B
    `75%`
    C
    `60%`
    D
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    A
    1
    B
    1.5
    C
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    D
    0.732

  • When the KE of a particle is increased by 300\%, the momentum of the body is increased by :

    A
    `20%`
    B
    `50%`
    C
    `100%`
    D
    `200%`

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