Question

If the resistance of a wire is R,then cut into 5 equal parts, connect into parallel.if equivalent resistance is R1. What is the ratio of R/R1 ?​

Answer 1

Wire is cut into 5 equal parts. Since all dimensions are same for pieces, Resistance of each wire is equal and has a value = R/5. Resistance is proportional to length of wire and inversely proportional to area of cross-section. IF length is 1/5th, then Resistance is also 1/5 th of original value.