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JEE Main Physics question

PhysicsWork, Energy and PowerJEE Main

Rain drops fall from a certain height with a terminal velocity v on the ground. The viscous force, F = 6πηrv, where η is the coefficient of viscosity, r is the radius of the rain drop and v is the speed, then work done by the forces acting on the rain drop till it reaches the ground is proportional to rⁿ, where n = .

Answer: 7

Solution

At terminal velocity, the viscous force balances weight: F = mg ⟹ 6πηrv = (4/3)πr³ρg ⟹ v ∝ r². By the work-energy theorem, the net

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Question ID VK-154226