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9-1.Fluid Mechanics
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The velocity of a small ball of mass $\mathrm{M}$ and density $d,$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $\frac{\mathrm{d}}{2}$, then the viscous force acting on the ball will be :
A
$\frac{\mathrm{Mg}}{2}$
B
$\mathrm{Mg}$
C
$\frac{3}{2} \mathrm{Mg}$
D
$2 \mathrm{Mg}$
(NEET-2021)
Solution
$w=M g=v d y$
$F_{B}=M^{\prime} g=v \frac{d}{2} y=\frac{M g}{2}$
$F_{v}+F_{B}=F_{g}$
$F_{v}=m g-\frac{m g}{2}=\frac{m g}{2}$
Standard 11
Physics
