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NEET 2005

Exam: NEET
Year: 2005
Subject: Physics
Chapter: Thermal Properties of Matter

NEET 2005 · Physics · Thermal Properties of Matter

Which of the following rods, (given radius r and length l ) each...

Which of the following rods, (given radius

r

and length

l

) each made of the same material and whose ends are maintained at the same temperature will conduct most heat?

Options

A $r=r_0 \quad l=l_0$
B $r=2 r_0 \quad l=l_0$
C $r=r_0 \quad l=2 l_0$
D $r=2 r_0 \quad l=2 l_0$

Correct answer

B. $r=2 r_0 \quad l=l_0$

Step-by-step solution

Heat conducted =

\frac{K A\left(T_1-T_2\right) t}{l}=\frac{K \pi r^2\left(T_1-T_2\right) t}{l}

The rod with maximum ratio of

\frac{A}{l}

will conduct most. Here the rod

r=2 r_0

and

l=l_0

will conduct most.

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