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When a certain weight is suspended from a long uniform wire, its length increases by 1 cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one, the increases in length will be

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a

0.5 cm

b

2 cm

c

4 cm

d

8 cm

answer is C.

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Detailed Solution

Y=FlaΔl or Δl∝1a;Δl∝1D2Δl2Δl1=D12D22=4 or Δl2=4Δl1=4cm

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