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A metal cube of side length 8.0cm has its upper surface displaced with respect to the bottom by 0.10 mm when tangential force of 4 x 104N  is applied at the top with bottom surface fixed.  The rigidity  modulus of the material of the cube is

a
4x109Nm−2
b
5x109Nm−2
c
8x109Nm−2
d
108Nm−2

detailed solution

Correct option is B

η=FLAx=FLL2x=FLx=4×1048×10-2×0.1×10-3=5×109N/m2

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