Question

(1): A wooden block is floating on a liquid. when the temperature of the liquid is increased the volume of the block immersed in the liquid increases.

(2): As temperature increases, the density of liquid decreases.

• A. Both 1 and 2 are true and 2 is the correct explanation of 1
• B. Both 1 & 2 are true but 2 is not the correct explanation of 1.
• C. 1 is true but 2 is false
• D. 1 is false but 2 is true

Answer 1

The correct option is A Both 1 and 2 are true and 2 is the correct explanation of 1

Density of liquid at temperature $T+\Delta T$ is given by ${\rho }_{T+\Delta T}=\frac{{\rho }_T}{1+\gamma \Delta T}$.

Hence the density of liquid decreases with increase in temperature.

The mass of the liquid displaced has to be equal to the mass of the block. But the density of liquid has decreased. Thus the volume of liquid displaced has to increase. Hence the volume of block immersed in liquid increases.