First slide

Elastic behaviour of solids

Question

A wire is loaded by 6 kg at its one end, the increase in length is 12 mm. If the radius of the wire is doubled and all other magnitudes are unchanged, then increase in length will be

Moderate

A

6 mm
B

3 mm
C

24 mm
D

48 mm

Solution

$l \propto \frac{1}{r^{2}}$ . If radius of the wire is doubled then increment in length will become $\frac{1}{4}$ times i.e. $\frac{12}{4} = 3 mm$

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