Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 1]PhysicsSome Mechanical Properties of Matter

Steel has an elastic limit of 8 10^8 N/m ^2 and a Young modulus of 2 10¹¹ N/m ^2 . Determine the maximum elongation that can be produced in a half-metre steel wire without exceeding its elastic limit.

Options

  1. A1 mm
  2. B4 mm
  3. C2 mm
  4. D8 mm

Correct answer

C. 2 mm

Step-by-step solution

Given: Elastic limit (maximum stress), = 8 10^8 N/m ^2 Young's modulus, Y = 2 10¹¹ N/m ^2 Length of the wire, L = 0.5 m From the definition of Young's modulus: Y = Stress Strain = L / L Rearranging for maximum elongation L : L = L Y Substituting the given values: L = 8 10^8 0.5 2 10¹¹ L = 4 10^8 2 10¹¹ L = 2 10⁻³ m L = 2 mm

Practice Some Mechanical Properties of Matter on Quantrex Academy →

More from Some Mechanical Properties of Matter

A load of 10 kg is suspended by a metal wire that is 3 m long and possesses a cross-sectional area of 4 mm ^2 . Determine the stress. The Young modulus of the metal is 2.0 10¹¹ N/mA vertical metal cylinder of radius 2 cm and length 2 m is fixed at its lower end, and a load of 100 kg is placed on it. Determine the stress. The Young modulus of the metal is 2 1A vertical metal cylinder of radius 2 cm and length 2 m is fixed at its lower end, and a load of 100 kg is placed on it. Determine the strain. The Young modulus of the metal is 2 1A load of 10 kg is suspended by a metal wire that is 3 m long and possesses a cross-sectional area of 4 mm ^2 . Determine the strain. The Young modulus of the metal is 2.0 10¹¹ N/mA load of 10 kg is suspended by a metal wire that is 3 m long and possesses a cross-sectional area of 4 mm ^2 . Determine the elongation. The Young modulus of the metal is 2.0 10¹¹A vertical metal cylinder of radius 2 cm and length 2 m is fixed at its lower end, and a load of 100 kg is placed on it. Determine the compression of the cylinder. The Young moduluA steel wire and a copper wire, both possessing equal length and equal cross-sectional area, are joined end to end and the combination is subjected to a tension. Determine the ratiA steel wire and a copper wire, both possessing equal length and equal cross-sectional area, are joined end to end and the combination is subjected to a tension. Determine the rati Full Some Mechanical Properties of Matter list All Concepts Of Physics MCQ Edition [Volume 1] PYQs