Properties Of Matter Ques 33
- The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
(1981, 2M)
(a) Length $=50$ $cm$, diameter $=0.5$ $mm$
(b) Length $=100$ $cm$, diameter $=1$ $mm$
(c) Length $=200$ $cm$, diameter $=2$ $mm$
(d) Length $=300$ $cm$, diameter $=3$ $mm$
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Answer:
Correct Answer: 33.(a)
Solution:
- $\Delta l=\frac{F l}{A Y}=\frac{F l}{\left(\frac{\pi d^{2}}{4}\right) Y}$ or $(\Delta l) \propto \frac{l}{d^{2}}$
Now, $\frac{l}{d^{2}}$ is maximum in option (a).
BETA
