First slide

Elastic behaviour of solids

Question

Two wires of the same material and length are stretched by the same force. Their masses are in the ratio 3:2. Their elongations are in the ratio

Moderate

A

3:2
B

9:4
C

2:3
D

4:9

Solution

$\begin{array}{l} Y = \frac{Fl}{aΔl} or Δl \propto \frac{1}{a} \\ Again, m = al ρ or m \propto a \\ ∴ Δl \propto \frac{1}{m} \\ \frac{{Δl}_{1}}{{Δl}_{2}} = \frac{m_{2}}{m_{1}} = \frac{2}{3} \end{array}$

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