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A sphere of mass 'm' moving with velocity 'v' collides head-on on another sphere of same mass which is at rest. The ratio of final velocity of second sphere to the initial velocity of the first sphere is (e is coefficient of restitution and collision is inelastic)

A

`(e-1)/(2)`

B

`(e)/(2)`

C

`(e+1)/(2)`

D

e

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A sphere of mass m moving with velocity v collides head -on on another sphere of same mass which is at rest. The ratio of final velocity of second sphere to the initial velocity of the first sphere is (where, e is coefficient of restitution and collision is inelastic)

    A
    `(e-1)/(2)`
    B
    `(e)/(2)`
    C
    `(e+1)/(2)`
    D
    `e`

  • A sphere P of mass m moving with velocity u collides head on with another sphere Q of mass m which is at rest . The ratio of final velocity of Q to initial velocity of P is ( e = coefficient of restitution )

    A
    `(e - 1)/(2)`
    B
    `[(e+ 1)/(2)]^(1//2)`
    C
    `(e + 1)/(2)`
    D
    `[(e+1)/(2)]^(2)`

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    A
    `(1-e)/(1+e)`
    B
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    C
    `(1+e)/2`
    D
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