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Q.

A body of mass 1kg is fastened to one end of a steel wire of cross-sectional area 3×10−6m2 and is rotated in horizontal circle of radius 20cm with a constant speed of 2m/s .  The elongation in the wire is (Y=2×1011N/m2)

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a

0.33×10−5m

b

0.67×10−5m

c

2×10−5m

d

4×10−5m

answer is B.

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Detailed Solution

Here, T=mv2r=1×2220×10−2=40.2=402=20N Stress =TA=203×10−6N/m2                                           ∴ strain=stressY=203×10−6×2×1011Or Δll=203×10−6×2×1011∴ Δl=203×10−6×2×1011×l=20×20×10−23×10−6×2×1011=23×10−5m=0.67×10−5m
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