Two solids $A$ and $ B$ float in water. It is observed that $A$ floats with $\frac{1}{2}$ of its body immersed in water and $ B$ floats with $\frac{1}{4}$ of its volume above the water level. The ratio of the density of $ A$ to that of $B$ is
$4:3$
$2:3$
$3:4$
$1:2$
A air bubble of radius $1\,cm$ in water has an upward acceleration $9.8\, cm\, s ^{-2}$. The density of water is $1\, gm\, cm ^{-3}$ and water offers negligible drag force on the bubble. The mass of the bubble is$.......gm$
$\left( g =980 \,cm / s ^{2}\right)$
The free surface of oil in a tanker, at rest, is horizontal. If the tanker starts accelerating the free surface will be titled by an angle $\theta $. If the acceleration is $\mathrm{a}$ $\mathrm{ms}^{-2}$, what will be the slope of the free surface ?
Write the only equation for the volume of partially immerged part of body float on the surface of liquid.
A boat having some iron pieces is floating in a pond. If iron pieces are thrown in the liquid then level of liquid
A cubical block of density $\rho $ is floating on the surface of water. Out of its height $\mathrm{L}$, fraction $\mathrm{x}$ is submerged in water. The vessel is in an elevator accelerating upward with acceleration $\mathrm{a}$. What is the fraction immersed ?