Two wires of the same material have lengths in the ratio 1:2 and their radii are in the ratio 1:2. If they are stretched by applying equal forces, the increase in their lengths will be in the ratio
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a
2:2
b
2:2
c
1:1
d
1:2
answer is C.
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Detailed Solution
Y=Flπr2Δl or Δl=Flπr2YΔl∝1r2, Δl′∝2l(2r)2 or Δl′∝lr2∴ ΔlΔl′=1:1