Properties of Matter 1 Question 19
19. A wire of length $L$ and cross-sectional area $A$ is made of a material of Young’s modulus $Y$. If the wire is stretched by an amount $x$, the work done is ……. .
(1987, 2M)
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Answer:
Correct Answer: 19. $\frac{1}{2}\left(\frac{Y A}{L}\right) x^2$
Solution:
$$ W=\frac{1}{2} K x^{2} $$
Here, $\quad K=\frac{Y A}{L}$
$$ \therefore \quad W=\frac{1}{2}\left(\frac{Y A}{L}\right) x^{2} $$
