The compensated pendulum of a clock consista of an isosceles triangular frame of base length l_(1) and expansivity alpha_(1) and side length l_(2) and expansivity alpha_(2). The pendulum is supported as shown in the figure. Calculate the ratio l_(1)//l_(2) so that the length of the pendulum may remain unchanged at all temperatures?

The compensated pendulum of a clock consista of an isosceles triangula

1.	The compensated pendulum of a clock consista of an isosceles triangular frame of base length l_(1) and expansivity alpha_(1) and side length l_(2) and expansivity alpha_(2). The pendulum is supported as shown in the figure. Calculate the ratio l_(1)//l_(2) so that the length of the pendulum may remain unchanged at all temperatures?
Answer» Answer :`(l_(1))/(l_(2))=2 SQRT((alpha_(2))/(alpha_(1)))`