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Q.

Assertion (A) : When a sphere falls under gravity or moves up due to buoyancy forces in a long column of viscous fluid, its velocity becomes constant after some time.
Reason (R) : The force of viscosity is proportional to velocity.

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a

Both A and R are true, but R is not the correct explanation of A

b

Both A and R are true, and R is the correct explanation of A

c

A is true, but R is false.

d

A is false, but R is true.

answer is A.

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Detailed Solution

$F_{V} = 6 π η r V$ and at equilibrium

$6 π η r V = m g - B$

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Assertion (A) : When a sphere falls under gravity or moves up due to buoyancy forces in a long column of viscous fluid, its velocity becomes constant after some time.Reason (R) : The force of viscosity is proportional to velocity.