A) \[{{n}^{2}}times\]
B) \[{{n}^{{}}}times\]
C) \[2{{n}^{{}}}times\]
D) \[{{(2n+1)}^{{}}}times\]
Correct Answer: A
Solution :
[a] \[Y=\frac{F/a}{\Delta l/l}=\frac{Fl}{a\Delta l}\] Or \[Y=\frac{Fl\times 4}{\pi {{D}^{2}}\times \Delta l}\] or \[\Delta l\propto \frac{1}{{{D}^{2}}}\]or \[\frac{\Delta {{l}_{2}}}{\Delta {{l}_{1}}}=\frac{{{D}_{1}}^{2}}{{{D}_{2}}^{2}}=\frac{{{n}^{1}}}{1}\]
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