Q. 1.     A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R', then the ratio R/R' is –

              (a) 1/25             (b) 1/5             (c) 5             (d) 25

Answers (1)

Given: A piece of wire of resistance R is cut into five equal parts.

Resistance of each part is \frac{R}{5}.

\frac{1}{R'}=\frac{5}{R}+\frac{5}{R}+\frac{5}{R}+\frac{5}{R}+\frac{5}{R}

\frac{1}{R'}=\frac{25}{R}

R'=\frac{R}{25}

Hence, \frac{R}{R'}=\frac{R}{\frac{R}{25}}=25

Thus, option D is correct.

 

 

 

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