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Question

Elastic energy density at

$A=\frac{1}{2} \frac{(	ext { stress })^{2}}{Y}=$ constant

$\frac{_{1}}{2} \frac{\left(\frac{M}{L} \frac{x}{A} gight

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Elastic energy density at

$A=\frac{1}{2} \frac{(	ext { stress })^{2}}{Y}=$ constant

$\frac{_{1}}{2} \frac{\left(\frac{M}{L} \frac{x}{A} gight)^{2}}{Y}=$ constant

Column $-I$	Column $-II$
$(a)$ image	$(i)$ $A$ is ductile
$(b)$ image	$(ii)$ $A$ is brittle
	$(iii)$ $B$ is ductile
	$(iv)$ $B$ is brittle

A uniform dense rod with non uniform young's modulus is hanging from ceiling under gravity. If elastic energy density at every point is same then young's modulus with $x$ will change as which of the shown graph

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