Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020PhysicsMechanical Properties of SolidsPractice

A wire fixed to the ceiling at one end is being pulled slowly by a force F at the other end. If the change in length of the wire is l , then the work done by the force F is

Options

  1. AF 2 l
  2. BFl
  3. C2Fl
  4. DFl 2

Correct answer

D. Fl 2

Step-by-step solution

Young's modulus Y = FL Al ............(i) ∴ F = YAl L or dW = Fdl = YAl dl L or ∫ dW = YA L ∫ 0 l ldl = YAl 2 2 L or Work done = YAl 2 2 L ...............(ii) From (i) and (ii) Work done = Fl 2

Practice Mechanical Properties of Solids on Quantrex Academy →

More from Mechanical Properties of Solids

Figure represents the extension ( l ) of a wire of length 1 meter, suspended from the ceiling of the room at one end with a load W connected to the other end. If the cross-sectiona 2026A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is 4 10^8 N/m ^2 and its radius is 4 mm, then maximum acceleration the li 2026The two wires A and B of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire A and wire B is 20/11 . When the joined wire is ke 2026A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is 600 10⁻⁶ m ^3 . The elastic potential energy stored in the wire in stretch 2026The Young's modulus of steel wire of radius r and length L is Y . If the radius r and length L of the wire are doubled then the value of Y 2026Two wires as shown in the figure below, made of steel and have breaking stress of 12 10^8 N/m ^2 . Area of cross-section of upper wire is 0.008 cm ^2 and of lower wire is 0.004 cm 2026A cube has side length 5 cm and modulus of rigidity 10^5 N/m ^2 . The displacement produced by a force of 10 N in the upper face of cube is _____ mm. 2026A metal string A is suspended from a rigid support and its free end is attached to a block of mass M . Second block having mass 2M is suspended at the bottom of the first block usi 2026 Full Mechanical Properties of Solids list All NTA Abhyas JEE Main PYQs