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JEE Main

Exam: JEE Main
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main · Physics · Kinetic Theory of Gases

The quantities of heat required to raise the temperatures of two...

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

r_{1}

and

r_{2}

\left(r_{1}=1.5 r_{2}\right)

through

1 \mathrm{~K} are in the ratio of

Options

A $\frac{27}{8}$
B $\frac{9}{4}$
C $\frac{3}{2}$
D1

Correct answer

B. $\frac{9}{4}$

Step-by-step solution

Required heat,

Q \propto r^{2}

where

r

is the radius.

\begin{aligned} \therefore \quad\frac{Q_{1}}{Q_{2}}&=\frac{r_{1}^{2}}{r_{2}^{2}}\\ \frac{Q_{1}}{Q_{2}}&=\frac{(1.5)^{2}}{(1)^{2}}\\ \frac{Q_{1}}{Q_{2}}&=\frac{9}{4} \end{aligned}

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