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A wire $X$ is half the diameter and half the length of a wire $Y$ of similar material. The ratio of resistance of $\mathrm{X}$ to that of $\mathrm{Y}$ is
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$\mathrm{R} \propto \frac{\ell}{\mathrm{D}^{2}} \Rightarrow \frac{\mathrm{Rx}}{\mathrm{Ry}}=\frac{2}{1}$
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