$A$ boat carrying a number of large stones is floating in a water tank. What would happen to the water level if a few stones are unloaded into the water?

$A$ sphere of diameter $7 \, cm$ and mass $266.5 \, g$ floats in a bath of a liquid. As the temperature is raised,the sphere just begins to sink at a temperature $35^{\circ} C$. If the density of the liquid at $0^{\circ} C$ is $1.527 \, g/cm^3$,then neglecting the expansion of the sphere,the coefficient of cubical expansion of the liquid is:

An empty glass jar is submerged in a tank of water with the open mouth of the jar downwards, so that the air inside the jar is trapped and cannot escape. As the jar is pushed down slowly, the magnitude of the net buoyant force on the system of the volume of gas trapped in the jar and the jar:

$A$ boy carries a fish in one hand and a bucket (not full) of water in the other hand. If he places the fish in the bucket,the weight now carried by him (assume that water does not spill) is:

Two rods of the same material and length have their electric resistance in the ratio $1:2$. When both rods are dipped in water,the correct statement will be:

$A$ 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: