Question

The specific heat capacities of two bodies A and B are $1:2$ and masses in the ratio $3:4$ respectively. The ratio of their heat capacities is :

• A. $3:2$
• B. $2:3$
• C. $7:16$
• D. $3:8$

Answer 1

Answer: (D)

$3:8$

Given,

Ratio of specific heat capacity,$\frac{C_A}{C_B}=\frac{1}{2}$

Ratio of mass, $\frac{m_A}{m_B}=\frac{3}{4}$

Ratio of heat capacity, $\frac{H_A}{H_B}=\frac{m_A{C}_A}{m_B{C}_B}=\frac{3}{4}\times \frac{1}{2}=\frac{3}{8}$

$\therefore 3:8$