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If the area of cross-section of a resistance wire is halved, then its resistance becomes ______.

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Question

If the area of cross-section of a resistance wire is halved, then its resistance becomes ______.

Options

  • one-half

  • two times

  • one-fourth

  • four times

MCQ
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Solution

If the area of cross-section of a resistance wire is halved, then its resistance becomes two times.

Explanation:

The resistance of a wire is inversely proportional to its area of cross-section (R ∝ `1/A`). When the area is halved, the resistance to electron flow doubles. Therefore, the new resistance becomes exactly twice its original value.

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Chapter 4: Electricity - Exercise 4 [Page 215]

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Lakhmir Singh Physics Part 1 [English] Class 10
Chapter 4 Electricity
Exercise 4 | Q 32. | Page 215
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