The work done in blowing a soap bubble of radius $0.2\,m$, given that the surface tension of soap solution is $60\times10^{-3}\, N/M$ is
$24\pi \times10^{-4}\,J$
$24\pi \times10^{-4}\,J$
$96\pi \times10^{-4}\,J$
$192\pi \times10^{-4}\,J$
The velocity of a small ball of mass $M$ and density $d_1,$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d_2,$ the viscous force acting on the ball will be
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance $l$ and $h$ are shown there. After some time the coin falls into the water. Then
A homogeneous solid cylinder of length $L (L < H/2)$ , cross-sectional area $A$ 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
Equal mass of three liquids are kept in there identical cylindrical vessels $A, B $ $\&$ $ C$. The densities are $\rho_A$, $\rho_B$ and $\rho_C$ with $\rho_A < \rho_B < \rho_C$ . The force on base will be maximum in vessel:-
If the terminal speed of a sphere of gold (density $19.5 \,kg / m ^2$ ) is $0.2 \,m / s$ in a viscous liquid (density $=1.5 \,kg / m ^3$ ), find the terminal speed of a sphere of silver (density $=10.5 \,kg / m ^3$ ) of the same size in the same liquid is ............ $m / s$