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 R1R2 is
(a) 125
(b) 15
(c) 5
(d) 25; 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 R1R2 is
(a) 125
(b) 15
(c) 5
(d) 25

Answer 1

Answer:

answer is option d) 25 the resultant resistance is R/25

Answer 2

Explanation:

• If a wire with resistance R1 is cut into five pieces equally and those wire pieces are connected in parallel arrangement, then the resultant resistance of this combination is R2 and the ratio $\frac{R 1}{R 2}$ is (d) 25.
• This is because the resistance of each wire is if the resistance wire is cut into five pieces.  
• The total resistance will be $\frac{R}{25}$ if the pieces are connected in parallel.  Thus the ratio $\frac{R 1}{R 2}$ is 25.