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Q.

A steel wire is 1m long and 1mm2 in area of cross-section. If it takes 200 N to stretch this wire by 1mm how much force will be required to stretch the wire of the same area and of same material having length of 10m to 10.02 m

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a

400N

b

200N

c

2000N

d

100N

answer is C.

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Detailed Solution

1=1 m,A1=1×10-6 m2=A2
F1=200 N

e1=1 mm=1×10-3 m
2'=10.02 m
e2=2'-2=10.02-10=0.02=2×10-2 m
Fe
F2=e2e1×12×F1=2×10-21×10-3×110×200=400 N

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