The quantities of heat required to raise the temperature of two solid copper spheres of radii $r_{1}

Question

The quantities of heat required to raise the temperature of two solid copper spheres of radii $r_{1}$ and $r_{2}\left(r_{1}=1.5 r_{2}ight)$ through 1 K are in the ratio\

Professor PC Thomas Classes · Answer

(a) : Heat required, $\Delta Q=m s \Delta T$\ $\Delta Q=(V$ Ч $ho)$ Ч $s \Delta T$\ $=\frac{4}{3} \pi r^{3} ho \cdot s \Delta T$\ $\frac{\Delta Q_{1}}{\Delta Q_{2}}=\frac{r_{1}^{3}}{r_{2}^{3}}=\left(\frac{r_{1}}{r_{2}}ight)^{3}=(1.5)^{3}=\frac{27}{8}$