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A wire of resistance $$R$$ and length $$L$$ is cut into $$5$$ equal parts. If these parts are joined parallely, then resultant resistance will be :
A wire of resistance $$R$$ and length $$L$$ is cut into 5 equal parts.
Each part has length $$L/5$$ and resistance $$R/5$$.
When 5 resistors of resistance $$R/5$$ each are joined in parallel:
$$\frac{1}{R_{eq}} = \frac{5}{R/5} = \frac{25}{R}$$
$$R_{eq} = \frac{R}{25}$$
The answer is $$\frac{R}{25}$$, which corresponds to Option (1).
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