First slide

Elastic behaviour of solids

Question

Young's modulus of rubber is 10⁴ N/m² and area of cross section is 2 cm² . If force of 2 x 10⁵ dyn is applied along its length , length increases by 1m, then its initial length l becomes

Moderate

A

3l
B

4l
C

2l
D

None of these

Solution

$\begin{array}{l} Δl = \frac{Fl}{aY} \\ 1 = \frac{2 \times 10^{5} \times 10^{- 5} \times L}{2 \times 10^{- 4} \times 10^{4}} or L = 1 m \end{array}$
So, INITIAL length is 1 m

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