When a bar of length ' l ' and diameter 'd'...

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When a bar of length '$$l$$' and diameter 'd' is rigidly fixed at the upper end and hanging freely, then the total elongation produced in the bar due to its own weight is (where w = Weight per unit volume of the bar)

A. $$\frac{{{\text{w}}l}}{{2{\text{E}}}}$$

B. $$\frac{{{\text{w}}{l^2}}}{{2{\text{E}}}}$$

C. $$\frac{{{\text{w}}{l^3}}}{{2{\text{E}}}}$$

D. $$\frac{{{\text{w}}{l^4}}}{{2{\text{E}}}}$$

Answer: Option B

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