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Based on the following statements, choose the correct option:

Assertion: When the length of a wire is doubled, its resistance also gets doubled.

Reason: The resistance of a wire is directly proportional to its length.

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An Intiative by Sri Chaitanya

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

Both assertion and reason are true and reason is not the correct explanation of assertion.

The assertion is true but the reason is false.

The assertion is false but the reason is true.

answer is A.

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Detailed Solution

Assertion and reason are correct and reason is the correct explanation of the assertion.
Assertion: From the formula,

ρ = \frac{RA}{l}

, the resistance of a wire is directly in proportion with length. If we double the length, resistance of the wire gets doubled.
Reason: Higher the length of a wire with the same material and same area of cross section will have higher resistance.

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