Question

In a compensated pendulum a triangular frame ABC is made using two different metals. AB of length `l_(1)` is made using a metal having coefficient of linear expansion `alpha_(1)`. BC and AC of length `l_(2)` each have coefficient of linear expansion `alpha_(2)`. A heavy bob is attached at C. Pendulum can oscillate about the pivot D. Find `(l_(2))/(l_(1))` so that distance of bob from the pivot point D does not change with change in temperature.

Answer 1

Correct Answer - `1/2 sqrt((alpha_(1))/(alpha_(2)))`