Three rods AB, BC and CA identical in shape and size are hinged together to form an equilateral triangle. Rods AB and CA have coefficient of linear expansion alpha_(1) = 12 xx 10^(-6)//°C, while that of rod BC is alpha_(2) = 18 xx 10^(-6)//°C. What should be the rise in temperature of the system of rods, so that the angle opposite to the rod BC increases by an amount 0.02°?

Three rods AB, BC and CA identical in shape and size are hinged togeth

1.	Three rods AB, BC and CA identical in shape and size are hinged together to form an equilateral triangle. Rods AB and CA have coefficient of linear expansion alpha_(1) = 12 xx 10^(-6)//°C, while that of rod BC is alpha_(2) = 18 xx 10^(-6)//°C. What should be the rise in temperature of the system of rods, so that the angle opposite to the rod BC increases by an amount 0.02°?
Answer» `( 150 SQRT3)/( 27)° C` `( 100 sqrt3)/( 27)°C` `(250pi sqrt3)/( 27) °C` `(100 pi sqrt3)/( 27)°C` ANSWER :C