An isosceles triangle is formed using a rod of length and coefficient of linear…

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

An isosceles triangle is formed using a rod of length

l_1

and coefficient of linear expansion

\alpha_1

as the base, and two thin rods, each of length

l_2

and coefficient of linear expansion

\alpha_2

, as the equal sides. If the distance between the apex and the midpoint of the base remains unchanged as the temperature is varied, show that

\frac{l_1}{l_2}=2\sqrt{\frac{\alpha_2}{\alpha_1}}