Two wires each of radius 0 . 2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is ______ 10 – 6 m . [Young

Question

Two wires each of radius 0 . 2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is ______ 10 – 6 m . [Young's modulus for steel = 2 × 10 11 N m – 2 and g = 10 m s – 2 ]

TestHub · Accepted Answer

The force acting on steel wire F is 2 + 1 . 14 g = 3 . 14 g From the relation of Young's modulus, it can be written F A = Y Δ L L ⇒ Δ L = F L A Y = 3 . 14 × g × 1 . 6 π × 0 . 2 2 × 2 × 10 11 × 10 - 4 ⇒ ∆ L = 2 × 10 - 5 ⇒ ∆ L = 20 × 10 - 6 m

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