(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.

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A block of volume V and of density σb is placed in liquid of density σ1(σ1>σb), then block is moved upward upto a height h and it is still in liquid. The increase in gravitational potential energy of the block is :

The correct option is A σbVghVolume of block =VDensity of block =σbTherefore, Mass of block =m=VσbTherefore, Gravitational potential energy after raising to a height, h=mgh=σbVgh

A block of volume V and of density $σ_{b}$ is placed in liquid of density $σ_{1} (σ_{1} > σ_{b})$ , then block is moved upward upto a height h and it is still in liquid. The increase in gravitational potential energy of the block is :

The correct option is A $σ_{b} V g h$
Volume of block $= V$
Density of block $= σ_{b}$
Therefore, Mass of block $= m = V σ_{b}$
Therefore, Gravitational potential energy after raising to a height, $h = m g h = σ_{b} V g h$