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A solid metal bar of uniform diameter D and length L is hung vertically. If $$\rho$$ is density and E is the Young’s modulus, then the total elongation due to self weight is
$$\frac{\rho L g}{2E}$$
$$\frac{\rho L^2 g}{2E}$$
$$\frac{\rho E g}{2L^2}$$
$$\frac{\rho L^2 g}{E}$$
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