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BITSAT 2021

Exam: BITSAT
Year: 2021
Subject: Physics
Chapter: Thermal Properties of Matter

BITSAT 2021 · Physics · Thermal Properties of Matter

The two ends of a rod of length L and a uniform crosssectional area...

The two ends of a rod of length

L

and a uniform crosssectional area

A

are kept at two temperatures

T_{1}

and

\mathrm{T}_{2} \left(\mathrm{ T}_{1} > \mathrm{T}_{2}\right)

.

The rate of heat transfer, \frac{\mathrm{dQ}}{\mathrm{dt}}

through the rod in a steady state is given by:

Options

A $\frac{k\left(T_{1}-T_{2}\right)}{L A}$
B $k L A \left(T_{1}-T_{2}\right)$
C\frac{k A $\left(T_{1}-T_{2}\right)}{L}$
D\frac{k L $\left(T_{1}-T_{2}\right)}{A}$

Correct answer

C. \frac{k A $\left(T_{1}-T_{2}\right)}{L}$

Step-by-step solution

\frac{\mathrm{dQ}}{\mathrm{dt}}=\frac{\mathrm{kA}\left(\mathrm{T}_{1}-\mathrm{T}_{2}\right)}

{\mathrm{L}}\left[\left(\mathrm{T}_{1}-\mathrm{T}_{2}\right)\right.

is the temperature difference

]

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