A uniform dense rod with non uniform young's modulus is hanging from ceiling under gravity. If e

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8.Mechanical Properties of Solids

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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

A

B

C

D

Solution

Elastic energy density at

$A=\frac{1}{2} \frac{(\text { stress })^{2}}{Y}=$ constant

$\frac{_{1}}{2} \frac{\left(\frac{M}{L} \frac{x}{A} g\right)^{2}}{Y}=$ constant

Standard 11

Physics

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