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)

Analytical & Descriptive Questions

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Solution:

$$ W=\frac{1}{2} K x^{2} $$

Here, $\quad K=\frac{Y A}{L}$

$$ \therefore \quad W=\frac{1}{2}\left(\frac{Y A}{L}\right) x^{2} $$



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