Question

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​

Answer 1

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When a piece of wire of resistance R is cut into five equal parts , the resistance of each part will be = R/5 ohm. .

Now , Equivalent resistance R¹ = 1/{(5/R)+(5/R)+(5/R)+(5/R)+(5/R)} ohm.

= 1/ (25/R) ohm.

= R/25. ohm .

So, R : R¹

= R/R¹

= R /(R/25)

= R× (25/R)

= 25

| ANSWER: (D) 25 |

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