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Question: Answered & Verified by Expert
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 4×1010 N/m2, then the displacement (in m) of the top face is
PhysicsMechanical Properties of SolidsJEE Main
Options:
  • A 4×10-12
  • B 4×10-10
  • C 6×10-10
  • D 8×10-10
Solution:
2271 Upvotes Verified Answer
The correct answer is: 6×10-10




Shear strain, ε=tanθ=θ=xl

η=σε

Or x=FlAη

Given F=30 N

A=50×50×10-4

η=4×1010

x=30×20×10-250×50×10-4×4×1010

=625×4×10-2×1010

=6×10-10 m

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