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On all the six surfaces of a unit cube, equal tensile force of F is applied. The increase in length of each side will be (Y = Young's modulus, σ = Poisson’s ratio) (1) F/Y(1 −σ) (2) F/ Y(1 +σ) (3) F(1 − 2σ)/Y(4) F/ Y(1 +2σ) |
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Answer» Correct option (3) F(1 − 2σ)/Y Explanation: Tensile strain on each face Y/ F Lateral strain due to the other two forces acting on perpendicular faces= −2σF/Y Total increase in length = (1 − 2σ)F/Y |
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