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A metallic wire of diameter d is lying h...

A metallic wire of diameter `d` is lying horizontally o the surface of water. The maximum length of wire so that is may not sink will be

A

`sqrt((2T)/(pidg))`

B

`sqrt((2T)/(pid))`

C

`sqrt((2pid)/(Td))`

D

any length

Text Solution

Verified by Experts

The correct Answer is:
D
`mg =2Tl rArr pir^(2)lrhog=2Tl rArr pir^(2)rhog=2T`
the expression in independent of length
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Knowledge Check

  • A metalic wire of diameter d is lying horizontally o the surface of water. The maximum length of wire so that is may not sink will be

    A
    `sqrt((2T)/(pidg))`
    B
    `sqrt((2Tg)/(pid))`
    C
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    D
    any length

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    C
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