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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 10¹¹ Nm ⁻² , where the value of P is: (Take . g =3 ~m / s ^2 )

Options

  1. A5
  2. B10
  3. C25
  4. D2.5

Correct answer

A. 5

Step-by-step solution

aligned & 50 ~g r ^2 = y & 50 3 (3 10⁻³ )^2 = P 10¹¹ 0.1 10⁻³ 3 & P = 50 3 3 3^2 10⁻⁶ 10¹¹ 0.1 10⁻³ & P =5 aligned

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