Explanation
Resistance of a wire is proportional to its length. The wire is cut into 10 equal parts. So, resistance of each part =$$\dfrac{R}{10}$$
Then all 10 wires are connected in parallel. Then the equivalent resistance is
$$ \dfrac{1}{{{R}_{eq}}}=\dfrac{1}{\dfrac{R}{10}}+\dfrac{1}{\dfrac{R}{10}}+.........(10\,\,times) $$
$$ \dfrac{1}{{{R}_{eq}}}=\dfrac{100}{R} $$
$$ {{R}_{eq}}=\dfrac{R}{100} $$
$$ {{R}_{eq}}=0.01R $$
Please disable the adBlock and continue. Thank you.