Question

a given length of wire is doubled on itself and this process is repeated once again by what factor does the resistance of the wire change​

Answer 1

Explanation:

Let the length be l metres.

When doubled l becomes 2l and when it again doubles it becomes 4l.

As resistance (R)is directly proportional to length, R increases 4 times.

Answer 2

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Answer:

it's resistance increases by a factor of 4.

Explanation:

Resistance of a wire is directly proportional to the length of the wire. As its length increases it's resistance increases.

Let x be the resistance of a wire of length L

If length of a wires is doubled to 2L its resistance is doubled to 2x

If it is doubled again, the length of the wire becomes 4L and it's resistance becomes 4x.

Thus if a given length of a wire is doubled on itself and this process is repeated once again it's resistance increases by a factor of 4.

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