Question

a piece of wire of resistance R is cut into five equal parts. These five 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

Please refer to the attachment.

Answer 2

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➧ Resistance of a piece of wire is proportional to its length. A piece of wire has a resistance R. The wire is cut into five equal parts.

➧ Therefore, resistance of each part

➾ R/5

➧ All the five parts are connected in parallel.

∴equivalent resistance (R') is given as

1 / R'

➾ 5 / R + 5 / R + 5 / R + 5 / R + 5

➾ 5 + 5 + 5 + 5 + 5 / R

➾ 1 / R' = 25 / R

➾ R / R' = 25 ...✔

_________

Thanks...✊