Class 10 Science - Chapter Electricity NCERT Solutions | A piece of wire of resistance R is cut i

Welcome to the NCERT Solutions for Class 10th Science - Chapter Electricity. This page offers a step-by-step solution to the specific question from Excercise ".$ex_no." , Question 1: a piece of wire of resistance r is cut into five e....
Question 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

Answer

(d) 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 = 

All the five parts are connected in parallel. Hence, equivalent resistance (R’) is given as

Therefore, the ratio  is 25.

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