Properties Of Matter

A uniform heavy rod of mass \(20 \mathrm{~kg}\), cross sectional area \(0.4 \mathrm{~m}^{2}\) and length \(20 \mathrm{~m}\) is hanging from a fixed support. Neglecting the lateral contraction, the elongation in the rod due to its own weight is \(x \times 10^{-9} \mathrm{~m}\). The value of \(x\) is _______________.

(Given, young modulus Y = 2 \(\times\) 10¹¹ Nm^\(-\)2 and g = 10 ms^\(-\)2)