First slide

Stress and strain

Question

Young’s modulus of the material of a rod is ‘Y’ and its breaking stress is $' σ'$ . If density of the rod is ‘ $ρ$ ’, The maximum length of a rod that can be suspended from one end is ____

Easy

A

$\frac{ρ}{σ g}$
B

$\frac{σ}{ρ g}$
C

$\frac{σ}{2 ρ g}$
D

$\frac{2 σ}{ρ g}$

Solution

$\begin{array}{l} \frac{ρ l_{\max} . A . g}{A} = σ \\ \Rightarrow l_{\max} = \frac{σ}{ρ g} \end{array}$

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