$A$ wooden block floating in a bucket of water has $(4/5)$th of its volume submerged. When a certain amount of oil is poured into the bucket,it is found that the block is just under the oil surface,with half of its volume under water and the other half in oil. The density of oil relative to that of water is

An aluminium sphere is dipped into water. Which of the following is true?

$A$ block of steel of size $5 \text{ cm} \times 5 \text{ cm} \times 5 \text{ cm}$ is weighed in water. If the relative density of steel is $7$,its apparent weight 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:

To determine the composition of a bimetallic alloy,a sample is first weighed in air and then in water. These weights are found to be $w_1$ and $w_2$ respectively. If the densities of the two constituent metals are $\rho_1$ and $\rho_2$ respectively,then the weight of the first metal in the sample is (where $\rho_w$ is the density of water):

$A$ beaker containing water is placed on the platform of a spring balance. The balance reads $1.5 \, kg$. $A$ stone of mass $0.5 \, kg$ and density $500 \, kg/m^3$ is immersed in water without touching the walls of the beaker. What will be the balance reading now?