A uniform heavy rod of weight 10 kg ms$-$2, cross-sectional area 100 cm2 and length 20 cm is hanging from a fixed support. Young modulus of the material of the rod is 2 $\times$ 1011 Nm$-$2. Neglecting the lateral contraction, find the elongation of rod due to its own weight.

Question

A uniform heavy rod of weight 10 kg ms^$-$2, cross-sectional area 100 cm² and length 20 cm is hanging from a fixed support. Young modulus of the material of the rod is 2 $\times$ 10¹¹ Nm^$-$2. Neglecting the lateral contraction, find the elongation of rod due to its own weight.

2 $\times$ 10^$-$9 m

5 $\times$ 10^$-$8 m

4 $\times$ 10^$-$8 m

5 $\times$ 10^$-$10 m

Solution

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