Velocity of a small ball of mass mathrm{M} and density d, when dropped in a container filled with gl

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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

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