### 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:-**

(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 =R/5

All the five parts are connected in parallel.

∴equivalent resistance (

*R’)*is given as