If the diameter of wire increases its resistance will also increase.

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True

False

answer is B.

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Detailed Solution

The given statement is false.
The resistance of a conductor is inversely proportional to its area of cross-section as well as the square of the diameter. That is,

R \propto \frac{1}{A}

(Where R is resistance and A is the area of cross-section of a conductor).
And

R = \frac{4}{π d^{2}}

(d is the diameter of the wire)
The wire resistance or resistance of wire is inversely proportional to the square of its diameter when the length is constant. If the wire diameter is halved, then its resistance becomes four times. The property of a conductor due to which it opposes the flow of current through is called resistance.
The correct statement would be that if the diameter is increased the resistance will decrease.

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