Which falls faster,big rain drops or small rain drops?

  • A
    Big rain drops
  • B
    Small rain drops
  • C
    Both fall at the same speed
  • D
    Depends on the height of the cloud

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$A$ metal sphere of mass $m$ and density $\sigma_{1}$ falls with terminal velocity through a container containing liquid. The density of the liquid is $\sigma_{2}$. The viscous force acting on the sphere is

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On which factors does terminal velocity depend? Explain.

While determining the coefficient of viscosity of the given liquid,a spherical steel ball sinks by a distance $h=0.9 \,m$. The radius of the ball $r=\sqrt{3} \times 10^{-3} \,m$. The time taken by the ball to sink in three trials are tabulated as follows:
Trial No.Time taken by the ball to fall by $h$ (in second)
$1$.$2.75$
$2$.$2.65$
$3$.$2.70$
The difference between the densities of the steel ball and the liquid is $7000 \,kg \,m^{-3}$. If $g=10 \,ms^{-2}$,then the coefficient of viscosity of the given liquid at room temperature is

$A$ small ball of mass $M$ and density $\rho$ is dropped in a viscous liquid of density $\rho_0$. After some time,the ball falls with a constant velocity. What is the viscous force on the ball?

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