Q.

A wire of length ‘l’ meters, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in milli-meters) upto which it can continue to float is (surface tension of water is T = 70×10–3 Nm–1)

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a

1.5

b

1.1

c

0.75

d

0.55

answer is A.

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Detailed Solution

Here, σ = density of wire = 8 x 103 kg/m3 ; s = surface tension = 7 x 10-2 N/m
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A wire of length ‘l’ meters, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in milli-meters) upto which it can continue to float is (surface tension of water is T = 70×10–3 Nm–1)