The velocity of a small ball of mass M and density d, 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:

Question

The velocity of a small ball of mass M and density d, 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: (A) ( Mg /2) (B) Mg (C) (3/2) Mg (D) 2 Mg

Tardigrade Admin · Accepted Answer

FD+B=M g ⇒ FD+((d/2))((M/d)) g=M g ⇒ FD=(M g/2)

Q. The velocity of a small ball of mass $M$ and density $d$ , when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $\frac{d}{2}$ , then the viscous force acting on the ball will be:

$\frac{M g}{2}$

$M g$

$\frac{3}{2} M g$

$2 M g$

$F_{D} + B = M g$
$\Rightarrow F_{D} + (\frac{d}{2}) (\frac{M}{d}) g = M g$
$\Rightarrow F_{D} = \frac{M g}{2}$

Q. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2d​, then the viscous force acting on the ball will be:

2Mg​

Mg

23​Mg

2Mg