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An electrical cable of copper has just one wire of radius 9mm . Its resistance is 5 This single copper wire of the cable is replaced by 6 different well insulated copper wires each of radius 3mm . The total resistance of the cable will now be equal to

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answer is B.

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Detailed Solution

Concept: We have given the electric cable of copper and its resistance and we need to calculate the total resistance of the cable
Let the resistance of single copper wire be

. If

is the specific resistance of copper wire, then

When the wire is replaced by six wires, let the resistance of each wire be

. Then

From equation (i) and (ii) , we get Question Image

These six wires are in parallel. Hence, the resistance of the combination would be

Hence, the correct option is 3.

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