A ball of mass $m$ and radius $r$ is gently released in a viscous liquid.The mass of the liquid displaced by it is $m'$ such that $m\, >\, m'$ . The terminal velocity is proportional to
$\frac{{m\, - \,m'}}{r}$
$\frac{{m\, + \,m'}}{r}$
$\frac{{m\, + \,m'}}{r^2}$
$(m\, - \,m'){r^2}$
Horizontal tube of non-uniform cross-section has radius of $0.2\,m$ and $0.1\,m$ respectively at $P$ and $Q$ . For streamline flow of liquid, the rate of liquid flow
A homogeneous solid cylinder of length $L(L < H/2)$, cross-sectional area $A/5$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $L/4$ in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure $P_0$. Then, density $D$ of solid is given by
Two equal drops are falling through air with a steady velocity of $5 \,cm / second$. If two drops coalesce, then new terminal velocity will be ......... $cm / s$
Consider a water jar of radius $R$ that has water filled up to height $H$ and is kept on a stand of height $h$ (see figure). Through a hole of radius $r(r < < R)$ at its bottom, the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross-section of water stream when it hits the ground is $x$. Then
Two drops of equal radius are falling through air with a steady velocity of $5\,cm/s$. If the two drops coalesce, then its terminal velocity will be