A) \[\frac{1}{64}\]
B) \[\frac{1}{32}\]
C) \[\frac{1}{2}\]
D) \[\frac{1}{4}\]
Correct Answer: A
Solution :
Given:\[{{r}_{1}}:{{r}_{2}}=1:4\] Heat capacity depends on the volume of spheres. \[\therefore \]Ratio of heat capacity = ratio of volumes \[={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{3}}\] \[\left( \because \,\,V=\frac{4}{3}\pi {{r}^{3}}\Rightarrow V\propto {{r}^{3}} \right)\] \[={{\left( \frac{1}{4} \right)}^{3}}=1:64\]
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