When a ball is released from rest in a very long column of viscous liquid, its downward acceleration is 'a' (just after release). Its acceleration when it has acquired two third of the maximum velocity is 
. Find the value of X.
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(3)
When the ball When the ball attains
is released terminal velocity
When the ball attains
of terminal velocity
When the ball is just released, the net force on ball is 
buoyant force 
The terminal velocity 
of the ball is attained when net force on the ball is zero.
∴ Viscous force 
When the ball acquires 
of its maximum velocity 
the viscous force is 
Hence net force is 
∴ required acceleration is 
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