State whether the following statements are true or false.

A wire of length L and resistance R is stretched so that length is doubled and area of cross-section is halved. If the length is doubled and the area is halved, the resistance increases fourfold.The resistivity does not change. Resistivity is an inherent feature of a substance that cannot be scaled.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- Use the relationship between a material's resistance, length, area, and resistivity.
Formula used:

Then,

Hence, the correct answer is (i) If the length is doubled and the area is halved, the resistance increases fourfold.
(ii) The resistivity does not change. Resistivity is an inherent feature of a substance that cannot be scaled.
Hence,the given statement is true.

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