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Q. In the given figure, if the dimensions of the two wires are same but materials are different, then Young’s modulus isPhysics Question Image

Mechanical Properties of Solids

Solution:

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At same value of load
A has less elongation than $B$.....(1)
$\frac{F L}{A Y}=\Delta L$
$\because L, A$ are same $F -$ Load is also taken same
So $\frac{1}{Y} \propto \Delta L$ .....(2)
Using conditions (1) and (2)
We can say
$Y_{A}>Y_{B}$
$\{$ Young's modulus of $A$ greater than $B \}$