Question

Consider two hot bodies $B_1$ and $B_2$. which have

temperatures ${100}^{\circ }C$ and ${80}^{\circ }C$ respectively at t = 0 .

The temperature of the surroundings is ${40}^{\circ }C$ .

The ratio of the respective rates of cooling $R_{1}and{R}_2$ of these two bodies at t = 0 will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Initially at t = 0

Rate of cooling (R) µ Fall in temperature of body (q - $q_0$)

$\Rightarrow \frac{R_1}{R_2}=\frac{{\theta }_1-{\theta }_0}{{\theta }_2-{\theta }_0}=\frac{100-40}{80-40}=\frac{3}{2}$