NTA Abhyas JEE Main2020PhysicsMechanical Properties of SolidsPractice
One of the square faces of a metal slab of side 50   cm and thickness 20   cm is rigidly fixed on a horizontal surface. If a tangential force of 30   N is applied to the top face and it is known that the shear modulus of the material is 4 × 10 10   N / m 2 , then the displacement (in m ) of the top face is
Options
- A4 × 10 - 12
- B4 × 10 - 10
- C6 × 10 - 10
- D8 × 10 - 10
Correct answer
C. 6 × 10 - 10
Step-by-step solution
Shear strain, ε = tan θ = θ = x l η = σ ε Or x = F ⋅ l A ⋅ η Given F = 30 N A = 50 × 50 × 10 - 4 η = 4 × 10 10 x = 30 × 20 × 10 - 2 50 × 50 × 10 - 4 × 4 × 10 10 = 6 25 × 4 × 10 - 2 × 10 10 = 6 × 10 - 10 m