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 $\frac{R_{1}}{R_{2}}$ is:

(a) $\frac{1}{25}$
(b) $\frac{1}{5}$
(c) 5
(d) 25

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Solution

(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.

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Q. A wire of resistance

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. Then, find

\frac{R_{1}}{R_{2}}

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 $\frac{R}{R^{'}}$ is:

(a) $\frac{1}{25}$
(b) $\frac{1}{5}$
(c) 5
(d) 25

Q. A wire of resistance X is cut into four equal pieces. These four pieces are connected in parallel. The resultant resistance of this combination is Y. The ratio X : Y is

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 $\frac{R}{R^{^{'}}}$ is:

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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

(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.

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 $\frac{R_{1}}{R_{2}}$ is:

(a) $\frac{1}{25}$
(b) $\frac{1}{5}$
(c) 5
(d) 25

(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.