MHT CET 2022 Physics question
A spherical solid ball of volume 'V' is made up of a material of density . It is falling through a liquid of density '' (). Assume that the liquid applies a viscous force on the ball that is proportional to square of the terminal speed ''. (K > 0), then the terminal speed of the ball is (g = acceleration due to gravity)
Answer: (B)
Solution
At terminal speed the net force is zero. Downward: weight . Upward: buoyant force plus the viscous force . Equating, , so V_t^2$ = V g(ρ_1
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