The following question consists of two statements – Assertion (A) and Reason (R). Answer this question by selecting the appropriate option given below:

Assertion (A): Longer wires have a greater resistance and the smaller wires have lesser resistance.

Reason (R): Resistance is inversely proportional to the length of the wire.

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Both A and R are true and R is the correct explanation of A.

Both A and R are true but R is not the correct explanation of A.

A is true but R is false.

A is false but R is true.

answer is C.

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Detailed Solution

Assertion: It is true that that

R = ρ \times \frac{L}{A}

. Here,

R, ρL and A

are the resistance, resistivity, length of wire and cross-sectional area respectively.
Reason: Here, we can say that resistance is directly proportional to the length of a wire. That means if the length of a wire increases then resistance also increases.
Therefore, A is true but R is false.

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