Question

There are two lead spheres, the ratio c being $1:2$. If both are at the same tempe then ratio of heat contents is

• A. $1:1$
• B. $1:2$
• C. $1:4$
• D. $1:8$

Answer 1

The correct option is D $1:8$

We know that the heat content is proportional to the mass and specific heat capacity of the substance as well as temperature. As both the spheres are of the same material and are at the same temperature, heat content will be dependent on mass only.

$m=\rho \times v$

where $\rho$ is the density of the sphere and $v$ the volume.

And $v$ = $\frac{4\pi r^3}{3}$

The given radius ratio is $1:2$.

Hence heat contents ratio is in the ratio $1:8$