Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE MainPhysicsMechanical Properties of Solids

A nylon rope of diameter 12 mm has a breaking strength of 3.6 10^4 N . What will be the breaking strength of a nylon rope of diameter 8 mm ?

Options

  1. A2.4 10^4 N
  2. B1.6 10^4 N
  3. C5.4 10^4 N
  4. D8.1 10^4 N

Correct answer

B. 1.6 10^4 N

Step-by-step solution

The breaking stress of a material is a constant property and does not depend on the dimensions of the rope. Breaking stress = Breaking strength (Force) Area of cross-section Let F₁ and F₂ be the breaking strengths of the ropes with diameters d₁ and d₂ respectively. F₁ d₁^2 4 = F₂ d₂^2 4 F₂ = F₁ ( d₂ d₁ )^2 Given F₁ = 3.6 10^4 N , d₁ = 12 mm , and d₂ = 8 mm : F₂ = 3.6 10^4 ( 8 12 )^2 F₂ = 3.6 10^4 ( 2 3 )^2 F₂ = 3.6 10^4 4 9 = 1.6 10^4 N Answer: 1.6 10^4 N

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 JEE Main PYQs