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MHT CET202013 Oct 2020Morning ShiftPhysicsThermal Properties of MatterActual

A metal rod of cross-sectional area 3 10⁻⁶ ~m ² is suspended vertically from one end has a length 0 4 ~m at 100^ C . Now the rod is cooled upto 0^ C , but prevented from contracting by attaching a mass ' m ' at the lower end. The value of ' m ' is ( Y =10¹¹ ~N / m ² . , coefficient of linear expansion .=10⁻⁵ / K , g =10 ~m / s ² )

Options

  1. A40 ~kg
  2. B20 ~kg
  3. C30 ~kg
  4. D10 ~kg

Correct answer

C. 30 ~kg

Step-by-step solution

L = L T = FL AY F = AY T Mg = AY T M = AY T g = 3 10⁻⁶ 10¹¹ 10⁻⁵ 100 10 =30 ~kg

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