Properties Of Matter

The Young's modulus of a steel wire of length \(6 \mathrm{~m}\) and cross-sectional area \(3 \mathrm{~mm}^{2}\), is \(2 \times 10^{11}~\mathrm{N} / \mathrm{m}^{2}\). The wire is suspended from its support on a given planet. A block of mass \(4 \mathrm{~kg}\) is attached to the free end of the wire. The acceleration due to gravity on the planet is \(\frac{1}{4}\) of its value on the earth. The elongation of wire is (Take \(g\) on the earth \(=10 \mathrm{~m} / \mathrm{s}^{2}\)) :