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Q.

A sphere of radius r and density p is dropped under gravity through a fluid of viscosity η. If the average acceleration is half of initial acceleration, what is the time required to attain terminal velocity? (Neglect buoyant force)

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a

4ρr2(9η)

b

9ρr2(4η)

c

4ρr2(3η)

d

ρr2η

answer is A.

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Detailed Solution

Average acceleration =g2=vtt⇒t=2vtg=229r2ρgηg=49r2ρη
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