Question

A wire of resistance R₁ is cut into five equal pieces. These five pieces of wire are then connected in parallel. If the resultant resistance of this combination be R₂, then the ratio `R_1/R_2` is: 

(a) `1/25`

(b)1/5

(c)5

(c)25

Answer 1

(d) 25
If the resistance wire is cut into five pieces, the resistance of each wire is R/5. If we connect the pieces in parallel, we will get the net resistance as R/25. Therefore, the ratio will be 25.