If the ratio of lengths, radii and Young's moduli of steel and brass wires in the figure are a, b and c respectively, then the corresponding ratio of increase in their lengths is :

Step-by-step solution

According to questions, aligned & _ s _ b = a , r _ s r _ b = b , y _ s y _ b = c , s _ b =? & As, y = F A = F Ay & _ s = 3 mg _ s r _ s ^2 y _ s [ F _ s =( M +2 M ) g ] & _ b = 2 Mg _ b r _ b ^2 y _ b [ F _ b =2 Mg ] aligned _ s _ b = 3 Mg _ s r _ s ^2 y _ s 2 Mg _ b r _ b ^2 y _ b = 3 a 2 b ^2 C