When a weight of 5 kg is suspended from a copper wire of length 30 m and diameter 0.5 mm, the length of the wire increases by 2.4 cm. If the diameter is doubled, the extension produced is
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a
1.2 cm
b
0.6 cm
c
0.3 cm
d
0.15 cm
answer is B.
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Detailed Solution
Y=Mg×4×lπD2×Δl or Δl∝1D2When D is doubled, Δl becomes one-fourth, i.e.,14×2.4cm, i.e., 0.6cm.×2.4cm, i.e., 0.6cm