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(A) When a wire of resistance $R$ is divided into $10$ equal parts,the resistance of each part is $r = \frac{R}{10}$.When these $10$ parts are connect

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$0.01$

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(A) When a wire of resistance $R$ is divided into $10$ equal parts,the resistance of each part is $r = \frac{R}{10}$.When these $10$ parts are connected in parallel,the equivalent resistance $R_{eq}$ is given by the formula:$\frac{1}{R_{eq}} = \frac{1}{r_1} + \frac{1}{r_2} + ... + \frac{1}{r_{10}}$Since all parts are equal $(r_1 = r_2 = ... = r_{10} = r = \frac{R}{10})$,we have:$\frac{1}{R_{eq}} = \frac{10}{r} = \frac{10}{R/10} = \frac{100}{R}$Therefore,$R_{eq} = \frac{R}{100} = 0.01\, R$.

$A$ wire of resistance $R$ is divided into $10$ equal parts. These parts are connected in parallel. The equivalent resistance of such a connection will be: (in $, R$)

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