Is it true that when a wire is made thinner, its resistance decreases?

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True

False

answer is B.

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Detailed Solution

The above statement is False.
We know that

resistance (R) = ρ \times \frac{L}{A}

Here,

ρ

is the resistivity,

L

is the length of the conductor and

A

is the cross-sectional area of the conductor. So, resistance of wire is inversely proportional to area of cross-section. As we know, the cross-sectional area of a wire is directly proportional to its radius. If the radius of the wire decreases, then the cross-section area will decrease and as a result, the resistance increases.
The correct statement would be that when a wire is made thinner, its resistance increases.

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