Four spheres A, B, C and D are of same radius but made of differe… - Vidyadip

MCQ

Four spheres $A, B, C$ and $D$ are of same radius but made of different metals. Their densities are in ratio $6 : 3 : 4 : 5$ and specific heats are in ratio $2 : 5 : 4 : 6$ . These are initially kept at the same temperature and placed in the same surroundings. The sphere which has the slowest rate of cooling is

A
$C$
B
$B$
✓
$D$
D
$A$

✓

Answer

Correct option: C.

$D$

c
$\mathrm{R}_{\mathrm{F}}=\frac{\mathrm{d} \theta}{\mathrm{dt}} \propto \frac{\mathrm{A}}{\mathrm{ms}}$

$\mathrm{R}_{\mathrm{F}} \propto \frac{1}{\mathrm{ms}}$

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