Question

For the given figure, if the dimensions of the two wires are same, but materials are different, then Young's modulus is

• A. more for $A$ than $B$
• B. more for $B$ than $A$
• C. equal for $A$ and $B$
• D. None of these

Answer 1

The correct option is A more for $A$ than $B$

From the given graph, at the same value of load, elongation in $A$ is lesser than that in $B$.


$\Rightarrow \Delta l_A<\Delta l_B$ ...........$\left(1\right)$
We know that, modulus of elasticity,
$Y=\frac{FL}{A\Delta l}$
For the wires of same dimension and for same load,
$Y\propto \frac{1}{\Delta l}$
From $\left(1\right)$,
$Y_A>Y_B$