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Properties of Matter question

2013 · Shift 0 · Q70

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JEE Main
Physics
Properties of Matter
2013 · Shift 0 · Q70

Properties of Matter question

2013 · Shift 0 · Q70

JEE MainPhysicsProperties of MatterMCQ+4 / −1

A uniform cylinder of length

L

and mass

M

having cross-sectional area

A

is suspended, with its length vertical, from a fixed point by a mass-less spring such that it is half submerged in a liquid of density

\sigma

at equilibrium position. The extension

{x_0}

of the spring when it is in equilibrium is:

A
${{Mg} \over k}$
B
${{Mg} \over k}\left( {1 - {{LA\sigma } \over M}} \right)$
C
${{Mg} \over k}\left( {1 - {{LA\sigma } \over {2M}}} \right)$
D
${{Mg} \over k}\left( {1 + {{LA\sigma } \over M}} \right)$

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