Question

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

• A. $2:1$
• B. $1:2$
• C. $25:18$
• D. $18:25$

Answer 1

The correct option is B $1:2$

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

thermal capacity=specific heat *mass, mass=density*volume.

thermal capacities per unit volume(T)=density$\left(\rho \right)$*specific heat(C)

Ratio is $\frac{T_1}{T_2}=\frac{{\rho }_1\ast C_1}{{\rho }_2\ast C_2}=\frac{5\ast 3}{6\ast 5}=\frac{1}{2}$