Q. If the ratio of densities of two substances is $5\ :6$ and that of the specific heats is $3\ :5$. Then the ratio between heat capacities per unit volume is
A) 1 : 1
B) 2 : 1
C) 1 : 2
D) 1 : 3
Explanation
(c) Heat capacity/volume = $c\ \times \frac{m}{V} = c \times \rho$
Desired ratio = $\frac{c_{1}\rho_{1}}{c_{2}\rho_{1}} = \frac{3}{5} \times \frac{5}{6} = 1\ :2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.