26. when a weight of 10 kg is suspended from a copper wire of length 3 metres and diameter 0.4 mm, it length increases by 2.4 cm. if the diameter of the wire is doubled, then the extension in its length will be
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The extension in its length will be 0.6 cm
Explanation:
Y = F/A x L/l
l = FL / YA 4 FL / YπD^2
l ∝ 1/D^2
l1 / l2 = D2^2 / D1^2 = (2D)^2 /D^2 = 4
l2 = l1 / 4 = 2.4 / 4 = 0.6 cm
Thus the extension in its length will be 0.6 cm
Also learn more
A copper wire 4 in long has diameter of 1 mm. if a load of 10 kg wt is attached at other end. What extension is produced, if Poisson's ratio is 0.26? How much lateral compression is produced in it ? (Y_{cu} = 12.5 x 10¹⁰ N / m²) (Ans : 3.992 mm, 2.595 x 10⁻⁴ mm) ?
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