# If the ratio of lengths, radii and Young’s moduli of steel and brass wires are a, b and c respectively….

Q: If the ratio of lengths, radii and Young’s moduli of steel and brass wires are a, b and c respectively, their respective loads are in the ratio 3 : 2, then the corresponding ratio of increase in their lengths would be

(a) $\displaystyle \frac{2 a^2 c}{b}$

(b) $\displaystyle \frac{3 a}{2 b c}$

(c) $\displaystyle \frac{3 a c}{b^2}$

(d) $\displaystyle \frac{3 c}{2 a b^2}$

Ans: (b)