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Q.

A hollow sphere has a small hole in it. On lowering the sphere in a tank of water, it is observed that water enters into the hollow sphere at a depth of 40 cm below the surface. Surface tension of water is 7 x 10-2 N/m. The diameter of the hole is

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a

128mm

b

121mm

c

114mm

d

17mm

answer is C.

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Detailed Solution

On lowering the sphere into water with hole, excess pressure supports the water up to some height till which no leakage takes place.
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A hollow sphere has a small hole in it. On lowering the sphere in a tank of water, it is observed that water enters into the hollow sphere at a depth of 40 cm below the surface. Surface tension of water is 7 x 10-2 N/m. The diameter of the hole is