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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 `R_1/R_2` Is:

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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

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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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Chapter 4: Electricity - Exercise 5

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Lakhmir Singh Physics [English] Class 10
Chapter 4 Electricity
Exercise 5 | Q 42

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