A container filled with liquid up to height $h$ is placed on a smooth horizontal surface. The container is having a small hole at the bottom. As the liquid comes out from the hole, the container moves in a backward direction with acceleration $a$ and finally, when all the liquid is drained out, it acquires a velocity $v.$ Neglect mass of the container. In this case

A wooden block in the form of a uniform cylinder floats with one-third length above the water surface. A small chip of this block is held at rest at the bottom of a container containing water to a height of $1 \mathrm{m}$ and is then released. The time in which it will rise to the surface of water is $(\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2)$

An ice cube is floating in water above which a layer of a lighter oil is poured. As the ice melts completely, the level of water surface (or interface) and upper level of oil will