Question

The quantities of heat required to raise the temperature of two metallic spheres of same mass having specific heat capacity $S_1$ and $S_2(3S_1=4S_2)$ through $1\text{K}$ are in the ratio:

• A. $\frac{4}{3}$
• B. $\frac{9}{16}$
• C. $\frac{1}{3}$
• D. $\frac{2}{3}$

Answer 1

The correct option is A $\frac{4}{3}$

Heat required to increase the temperature of a body of mass m by $\Delta T^{o}C$ is given by
$Q=mS\Delta T$
$\frac{Q_1}{Q_2}=\frac{S_1}{S_2}=\frac{4}{3}$