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Q.

A needle is made of a material whose density is σ. Then the maximum diameter of the needle which can float on the surface of water with its length horizontal is, (surface tension of water is T)

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a

2Tπσg

b

Tπσg

c

4Tπσg

d

8Tπσg

answer is D.

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Detailed Solution

When the diameter of the needle is maximum, half of its volume is submerged.∴ In equilibrium IT+IT=σ⋅πdmax24⋅1⋅g ⇒dmax=8Tπσg

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