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Q.

A block of mass 4kg is attached to one end of a wire of cross sectional area 1mm2 and is whirled in a vertical circle of radius 90 cm. The speed of the block at the bottom of the circle 6ms−1 . Find the elongation of the wire when the block is at the bottom. (Y=2×1011Nm−2) (g=10ms−2)

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a

0.8 mm

b

0.9 mm

c

0.5 mm

d

0.7 mm

answer is B.

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Detailed Solution

T=F=mv2r+mg =4×3690×10−2+4×10=160+40=200N  ande=FLAy=200×90×10−210−6×2×1011=9×10−4m=0.9×10−3m=0.9mm
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