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Q.

When a ball is released form rest in a very long column viscous liquid, its downward acceleration is a (just after release).  Find its acceleration when it has acquired two third of the maximum velocity

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a

a3

b

2a3

c

a6

d

2a5

answer is A.

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Detailed Solution

At the beginning, net force downwards F= ma ; When terminal velocity is achieved F=6πηrv     when velocity is 23 of its terminal velocity,viscous force is 23 6πηrv =23Fnet force =F-23F=F3  so acceleration will be a3
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When a ball is released form rest in a very long column viscous liquid, its downward acceleration is a (just after release).  Find its acceleration when it has acquired two third of the maximum velocity