There is a metal cube inside a block of ice which is floating on the surface of water. The ice melts completely and metal falls in the water. Water level in the container

Two solids $A$  and $ B$ float in water. It is observed that $A$  floats with half its volume immersed and $B$  floats with $2/3$  of its volume immersed. Compare the densities of $A$ and $B$

A solid sphere of density $\eta$ $( > 1)$  times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by

A container of liquid is free fall without flyout of liquid is this container obey the principle of Archimedes ?

A block of ice floats on a liquid of density $1.2$ in a beaker then level of liquid when ice completely melt

A liquid is kept in a closed vessel. If a glass plate (negligible mass) with a small hole is kept on top of the liquid surface, then the vapour pressure of the liquid is the vessel is