The edges of an aluminium cube are 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. Shear modulus of aluminium is 25 × 109 Pa, the vertical deflection in the face to which mass is attached is
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a
4 × 10−4m
b
4 × 10-7m
c
25 × 10−6m
d
6 × 10−7m
answer is B.
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Detailed Solution
The situation is as shown in the figure. A force of 100g acts on farther face of cube as shown, due to which shear will develop. η=F/Ax/l⇒x=FlAη=100×10×ll2×25×109