The coefficient of linear expansion ' ' of a rod of length 2 m varies with the…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

The coefficient of linear expansion '

\alpha

' of a rod of length 2 m varies with the distance

x

from the end of the rod as

\alpha = \alpha_0 + \alpha_1 x

where

\alpha_0 = 1.76 \times 10^{-5} \text{ }^\circ\text{C}^{-1}

and

\alpha_1 = 1.2 \times 10^{-6} \text{ m}^{-1} \text{ }^\circ\text{C}^{-1}

. The increase in the length of the rod, when heated through

100^\circ\text{C}

is: (a) 2 cm (b) 3.76 mm (c) 1.2 mm (d) None of these