Question

In steady state condition, the temperature of two ends of a metallic rod of length $25cm$ are $0^{\circ }C$ and ${100}^{\circ }C$. The temperature at a point $8cm$ from the hot end is:

• A. ${60}^{\circ }C$
• B. ${40}^{\circ }C$
• C. ${32}^{\circ }C$
• D. ${90}^{\circ }C$

Answer 1

The correct option is C ${32}^{\circ }C$

Given,

$T_1=0^{0}C$

$T_2={100}^{0}C$

$l_1=8cm$

$l_2=25cm$

Ar steady state condition,

$\frac{T_1-T}{l_1}=\frac{T_1-T_2}{l_2}$

$\frac{0-T}{8}=\frac{0-100}{25}$

$T=8\times 4={32}^{0}C$

The correct option is C.