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Q.

A small sphere of mass m is dropped from a height. After it has fallen 100m, it has attained its terminal velocity and continues to fall at that speed. Then the magnitude of work done.

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a

by viscosity of air is lesser in first 100m than in the second 100m

b

by buoyancy of air is in first 100m is equal to that in the second 100m

c

by viscosity of air is greater in first 100m than in the second 100m

d

by buoyancy of air is lesser in first 100m than that in the second 100m

answer is A, B.

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Detailed Solution

Average viscous force over the first 100m is lesser than that over second 100m, as viscous force is proportional to v. But buoyancy force of air is constant throughout.

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