A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with a net acceleration of $g/3$ The fraction of volume immersed in the liquid will be
$\frac{1}{2}$
$\frac{3}{8}$
$\frac{2}{3}$
$\frac{3}{4}$
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
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
The velocity of small ball of mass $m$ and density $\rho $ when dropped in a container filled with glycerine of density $\sigma $ becomes constant after sometime. The viscous force acting on the ball in the final stage is
A wind with speed $40\,m/s$ blows parallel to the roof of a house. The area of the roof is $250\,m^2.$ Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be $(\rho _{air} = 1.2\,kg/m^3)$
A $U$ tube contains water and methylated spirit separated by mercury . The mercury columns in the two arms are at the same level with $10\,cm$ of water in one arm and $12.5\,cm$ of spirit in the other as shown in figure. The relative density of the spirit is