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