Directions: In the following question, the Assertion (A) and Reason (R) have been put forward. Read both statements carefully and choose the correct alternative from the following:

Assertion: Decreasing the length of the wire decreases the resistance of the electric wire.

Reason: The resistance of a conductor depends on the length, thickness, nature of material and temperature of the conductor

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Both the assertion and reason are correct, and the reason is the correct explanation of the assertion.

The assertion and the reason are correct, but the reason is not the correct explanation of the assertion.

The assertion is true, but the reason is false.

The statement of the assertion is false, but the reason is true.

answer is A.

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Detailed Solution

Both the assertion and reason are correct, and the reason is the correct explanation of the assertion.
Assertion: Decreasing the length of the wire affects its resistance.

R = ρ \frac{L}{A}

Where

ρ =

Resistivity of the conductor material

L =

length of conductor

A =

Cross-sectional area of the conductor
Therefore resistance of wire decreases as length decreases and area increases.
Reason: A conductor’s resistance depends on its length, thickness, nature of the material and temperature; therefore, when a wire is bent, then the resistance of the wire decreases.

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