Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202419 May 2024Evening ShiftPhysicsMechanical Properties of SolidsActual

If the work done in stretching a wire by 1 mm is 2 J , the work necessary for stretching another wire of same material but with double radius of cross section and half the length by 1 mm is

Options

  1. A16 J
  2. B8 J
  3. C4 J
  4. D1 4 ~J

Correct answer

A. 16 J

Step-by-step solution

Work done in stretching a wire is aligned & w = 1 2 kx ^2= 1 2 ( YA 1 ) x ^2 w A 1 & w ₂ w ₁ = ( r ₂ r ₁ )^2 ( l ₁ l ₂ )=(2)^2(2)=8 & w ₂=8 w ₁=8 2=16 ~J aligned

Practice Mechanical Properties of Solids on Quantrex Academy →

More from Mechanical Properties of Solids

A wire, made of a certain material of length-l and area of cross section-a can withstand a maximum load =W without breaking. If, another wire of the same material and cross-section 2026A light rod of length 1 m is suspended from ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of material X and is of c 2026An exotic spherical jellyfish has a bulk modulus B . Close to the surface of the sea (depth d=0 ), its radius is R . When it dives to a depth d ( d R ), its radius is reduced by R 2026There are two wires of same material and same length while the diameter of second wire is two times the diameter of the first wire. Then the ratio of extensions produced in the wir 2026The stress - strain graph of two wires A and B is shown in the figure. If Y _ A and Y_B are Young's moduli of materials of wires A and B respectively, then 2025If the given graph shows the load ( W ) attached to and the elongation ( l) produced in a wire of length one meter and area of cross-section 1 ~mm ^2 , then the Young's modulus of 2025The elastic potential energy stored in a copper rod of length one metre and area of cross-section 1 ~mm ^2 when stretched by 1 mm is (Young's modulus of copper =1.2 10¹¹ Nm ⁻² ) 2025A wire is stretched 1 mm by a force F . If a second wire of same material, same length and 4 times the diameter of the first wire is stretched by the same force F , then the elonga 2025 Full Mechanical Properties of Solids list All AP EAMCET PYQs