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A uniform chain of mass.m. and length .L...

A uniform chain of mass.m. and length .L. is kept on a horizontal table with half of its length hanging from the edge of the table. Work done in pulling the chain on to the table so that only `1/5` th of its length now hangs from the edge is

A

`(mgl)/8`

B

`(mgl)/50`

C

`(mgl)/18`

D

`(21mgl)/200`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • A uniform chain of mass 'm' and length 'L' is kept on a horizontal table with half of its length hanging from the edge of the table. Work done in pulling the chain on to the so that only (1)/(5)th of its length now hangs from the edge is,

    A
    `(mgl)/(8)`
    B
    `(mgl)/(50)`
    C
    `(mgl)/(18)`
    D
    `(mgl)/(200)`

  • A uniform chain of mass 'm' and length 'L' is kept on a horizontal table with half of its length hanging from the edge of the table. Work done in pulling the chain on to the so that only (1)/(5)th of its length now hangs from the edge is,

    A
    `(mgl)/(8)`
    B
    `(mgl)/(50)`
    C
    `(mgl)/(18)`
    D
    `(mgl)/(200)`

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    A
    `(mug(L-l)^(2))/(2)`
    B
    `(mug(L-l)^(2))/(2l^(2))`
    C
    `(mul(L-l)^(2))/(2L^(2))`
    D
    `(mugl)/(2(L-l))`

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