A cube of wood supporting $200\,gm$ mass just floats in water. When the mass is removed, the cube rises by $2\, cm$. ............ $cm$ is the side of cube .

A ball whose density is $0.4 \times 10^3\,kg/m^3$ falls into water from a height of $9\,cm$ . To what depth does the ball sink ? ....... $cm$

A cube of external dimension $10\  cm$ has an inner cubical portion of side $5\  cm$ whose density is twice that of the outer portion. If this cube is just floating in a liquid of density $2\  g/cm^3$, find the density of the inner portion

What is the direction of buoyant force ?

A metallic body of material with density of $8000\  kg/m^3$ has a cavity inside. A spring balance shows its mass to be $10.0\  kg$ in air and $7.5\  kg$ when immersed in water. The ratio of the volume of the cavity to the volume of the material of the body must be

The spring balance $A$ reads $2\, kg$ with a block m suspended from it. $A $ balance $B$ reads $5 \,kg $ when a beaker filled with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass is inside the liquid as shown in figure. In this situation