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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 diametre of the needle is maximum, half of its volume is submerged∴In equilibriumsIT+IT=σ⋅πd24⋅I⋅g⇒dmax=8Tπσg

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