A) \[Length=50\text{ }cm,\text{ }diameter=0.5\text{ }mm\]
B) \[Length=100\text{ }cm,\text{ }diameter=1\text{ }mm\]
C) \[Length=200\text{ }cm,\text{ }diameter=2\text{ }mm\]
D) \[Length=300\text{ }cm,\text{ }diameter=3\text{ }mm.\]
Correct Answer: A
Solution :
[a] \[Y=\frac{T/A}{\Delta \ell /\ell }\Rightarrow \Delta \ell =\frac{T\times \ell }{A\times Y}=\frac{T}{Y}\times \frac{\ell }{A}\] Here, \[\frac{T}{Y}\]is constant. Therefore, \[\Delta \ell \propto \frac{\ell }{A}\]. \[\frac{\ell }{A}\]is largest in the first case.
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