A force is applied to a steel wire 'A', rigidly clamped at one end. As a result elongation in the wire is $0.2 \mathrm{~mm}$. If same force is applied to another steel wire ' $\mathrm{B}$ ' of double the length and a diameter $2.4$ times that of the wire ' $\mathrm{A}$ ', the elongation in the wire ' $\mathrm{B}$ ' will be (wires having uniform circular cross sections)
$6 .9 \times 10^{-2} \mathrm{~mm}$
$6.06 \times 10^{-2} \mathrm{~mm}$
$2.77 \times 10^{-2} \mathrm{~mm}$
$3.0 \times 10^{-2} \mathrm{~mm}$
Solution
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