JEE Main 2022 · 27 Jun · Shift 1 · Physics Q39

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PhysicsSingle correct+4 / -1Question 39 of 90

The velocity of a small ball of mass 'm' and density $d_1$ , when dropped in a container filled with glycerine, becomes constant after some time. If the density of glycerine is $d_2$ , then the viscous force acting on the ball, will be :

mg\left(1-\dfrac{d_1}{d_2}\right)

mg\left(1-\dfrac{d_2}{d_1}\right)

mg\left(\dfrac{d_1}{d_2}-1\right)

mg\left(\dfrac{d_2}{d_1}-1\right)

Answer and worked solution

Official answer: B

Terminal velocity. Viscous force $=mg-$ buoyancy $=mg-\dfrac m{d_1}d_2g=mg\left(1-\dfrac{d_2}{d_1}\right)$ .

(B)

Topics:Terminal velocity Buoyancy and Archimedes' principle

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JEE Main 2022 · 27 Jun · Shift 1, Physics question 39