Question

The ratio of diameters of two spheres made of same materials is 1 : 2. Then ratio of their heat capacities is –

• A. 1 : 2
• B. 1 : 8
• C. 1 : 4
• D. 2 : 1

Answer 1

Answer: (B)

1 : 8

Answer 2

$\frac{(H.C)_{1}}{(H.C.)_{2}}$ = $\frac{m_{1}C_{gm_{1}}}{m_{2}C_{gm_{2}}}$ = $\frac{r_{1}^{3}}{r_{2}^{3}}$ = $\left( \frac{1}{2} \right)^{3}$= $\frac{1}{8}$

Q m = rV = r × $\frac{4}{3}$pr³ and

r₁ = r₂, $C_{gm_{1}}$ = $C_{gm_{2}}$