Properties Of Solids And Liquids Question 223

Question: A ball of radius r and density r falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is h, the value of h is given by

Options:

A)29r2(1ρη)g

B)281r2(ρ1η)g

C)281r4(ρ1η)2g

D)29r4(ρ1η)2g

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Answer:

Correct Answer: C

Solution:

Velocity of ball when it strikes the water surface v=2gh -(i)

Terminal velocity of ball inside the water v=29r2g(ρ1)η -(ii)

Equating(i) and (ii) we get 2gh=29r2gη(ρ1)

therefore h=281r4(ρ1η)2g



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