A wire of resitance $R$ and length $L$ is cut into $5$ equal part. if these parts are joined parts are joined paralley, than result resistance will be:
A $\frac{1}{25}\ \mathrm{R}$
B $\frac{1}{25}\ \mathrm{R}$
C $25\ \mathrm{R}$
D $5\ \mathrm{R}$
JEE MAIN 2024, Diffcult
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A $\frac{1}{25}\ \mathrm{R}$
a Resistance of each part $=\frac{R}{5}$
Total resistance $=\frac{1}{5} \times \frac{R}{5}=\frac{R}{25}$
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