A uniform copper rod long is maintained at at one end and at the other end under…

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A uniform copper rod

50\,\text{cm}

long is maintained at

100^\circ\text{C}

at one end and

20^\circ\text{C}

at the other end under steady-state conditions, with negligible heat loss through its sides. (a) Derive an expression for the temperature

T(x)

at a point that is a distance

x

from the hot end. (b) Using your expression, find the temperature at a point

15\,\text{cm}

from the hot end.