Question

The densities of two substances are in the ratio $5:6$ and their specific heats are in the ratio $3:5$. Then ratio of their thermal capacities per unit volume is.

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

Answer 1

The correct option is A $1:2$

The densities of two substances are in the ratio 5:6 and their specific heats are in the ratio 3:5.

thermal capacities(T)=mass*specific heat(c)=$\rho \ast c$*volume=$\rho \ast c\ast \frac{4\pi r^3}{3}$

$\frac{T_1}{T_2}=\frac{{\rho }_1\ast c_1}{{\rho }_2\ast c_2}=\frac{5\ast 3}{6\ast 5}=\frac{1}{2}$