A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire

Question

A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is P × 1 0 11 Nm − 2 , where the value of P is: (Take g = 3 π m / s 2 )

TestHub · Accepted Answer

​ π r 2 50 g ​ = y ⋅ ℓ Δ ℓ ​ π × ( 3 × 1 0 − 3 ) 2 50 × 3 π ​ = P × 1 0 11 × 3 0.1 × 1 0 − 3 ​ ⇒ P = 3 2 × 1 0 − 6 × 1 0 11 × 0.1 × 1 0 − 3 50 × 3 × 3 ​ P = 5 ​

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