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Question

A $1 \mathrm{~m}$ long wire is broken into two unequal parts $\mathrm{X}$ and $\mathrm{Y}$. The $\mathrm{X}$ part of the wire is streched into another wire W. Length of $W$ is twice the length of $X$ and the resistance of $\mathrm{W}$ is twice that of $\mathrm{Y}$. Find the ratio of length of $\mathrm{X}$ and $\mathrm{Y}$.

1 : 4
1 : 2
4 : 1
2 : 1

Solution

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