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A metal cube of side length 10.0 cm has its upper surface displaced with respect to the bottom by 0.20 mm. when tangential force is applied at the top with bottom surface fixed. If the rigidity modulus of the material of the cube is 8×109 , the tangential force applied is

a
8×104Nm−2
b
12×104Nm−2
c
16×104Nm−2
d
4×104Nm−2

detailed solution

Correct option is C

η=F/AΔa/a(A=a2) F=ηΔa×a =8×109×2×10−4×10×10−2 =16×104N

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