The quantities of heat required to raise the temperatures of two copper spheres of radii ${r_1}{\rm{and}}{r_2}\left( {{r_1} = 1.5{r_2}} \right)$ through 1 K are in the ratio of

JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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The quantities of heat required to raise the temperatures of two copper spheres of radii

{r_1}\mathrm{and}{r_2}\left( {{r_1} = 1.5{r_2}} \right)

through 1 K are in the ratio of

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Correct option: C

\frac{9}{4}

Option C (

\frac{{9}}{{4}}

) is correct because the heat required is proportional to the volume (and thus the cube of the radius), but since the temperature change is the same, it simplifies to the ratio of the volumes, which is the cube of the ratio of the radii.

JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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