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Two sopheres whose radii are in the rati...

Two sopheres whose radii are in the ratio `1:2` are moving with theier velocities in the ratio 3:4. If their densities are in the ratio 3:2, the ratio of their kinetic energies is

A

`27:64`

B

`1:1`

C

`27:256`

D

`9:64`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Two spheres whose radii are in the ratio 1: 2 are moving with their velocities in the ratio 3: 4 . If their densities are in the ratio 3: 2 , the ratio of their kinetic energies is,

    A
    `27: 64`
    B
    `1: 1`
    C
    `27: 256`
    D
    `9: 64`

  • Two spheres whose radii are in the ratio 1 : 2 are moving with their velocities in the ratio 3 : 4. If their densities are in the ratio 3 : 2, the ratio of their kinetic energies is,

    A
    `27:64`
    B
    `1:1`
    C
    `27:256`
    D
    `9:64`

  • Two spheres whose radii are in the ratio 1 : 2 are moving with their velocities in the ratio 3 : 4. If their densities are in the ratio 3 : 2, the ratio of their kinetic energies is,

    A
    27 : 64
    B
    `1 : 1`
    C
    27 : 256
    D
    `9 : 64`

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