A) 2:1
B) 4:1
C) 1:4
D) 1:1
Correct Answer: D
Solution :
[d] \[Y=\frac{F\ell }{A\Delta \ell };\Rightarrow \,\,\,\,\,F=\frac{YA\Delta \ell }{\ell }\] \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{{{A}_{1}}}{{{A}_{2}}}\times \frac{{{I}_{2}}}{{{I}_{1}}}=\frac{r_{1}^{2}}{r_{2}^{2}}\times \frac{{{I}_{2}}}{{{I}_{1}}}=\frac{4}{1}\times \frac{1}{4}=1:1.\]
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