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 :-

Question

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 :-

TestHub · Accepted Answer

T S ​ = 3 m g ​ A s ​ 3 m g ​ = y s ​ × ℓ s ​ Δ ℓ s ​ ​ A p ​ 2 m g ​ = y b ​ × ℓ b ​ Δ ℓ b ​ Δ ℓ b ​ ​ Δ ℓ b ​ Δ ℓ s ​ ​ = 2 3 ​ × ℓ b ​ ℓ s ​ ​ × A s ​ A b ​ ​ × y s ​ y b ​ ​ = 2 3 ​ × b 2 c a ​ ​

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