The ratio of radii of two spheres of same material is 1 : 4.... | PHYSICS - SPECIFIC HEAT CAPACITY | SolveeIt | Solveeit

Today, August 19

Question

The ratio of radii of two spheres of same material is 1 : 4. Then the ratio of their heat capacity will be-

A

$\frac { 1 } { 64 }$

B

$\frac { 1 } { 32 }$

C

$\frac { 1 } { 2 }$

D

$\frac { 1 } { 4 }$

Answer

$\frac { 1 } { 64 }$

Explanation

Solution

$\frac { \mathrm { C } _ { 1 } } { \mathrm { C } _ { 2 } }$ = $\left( \frac { \mathrm { R } _ { 1 } } { \mathrm { R } _ { 2 } } \right) ^ { 3 }$ for same material

= $\frac { 1 } { 64 }$