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If the length of the wire is doubled and its area of cross section is decreased to half, then its resistance
  • a)
    Will increase 4 times
  • b)
    Will become doubled
  • c)
    Will remain the same as before
  • d)
    Will become half the initial value
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the length of the wire is doubled and its area of cross section is ...
Explanation:

Effect of doubling the length of the wire:
- When the length of the wire is doubled, the resistance of the wire also doubles. This is because resistance is directly proportional to the length of the wire.

Effect of decreasing the area of cross-section to half:
- When the area of cross-section is decreased to half, the resistance of the wire becomes 4 times greater. This is because resistance is inversely proportional to the area of cross-section.

Overall effect on resistance:
- Since the resistance is directly proportional to the length of the wire and inversely proportional to the area of cross-section, when the length is doubled and the area is halved, the resistance of the wire will increase by 2 * 4 = 8 times.
Therefore, the correct option is:
a) Will increase 4 times
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If the length of the wire is doubled and its area of cross section is decreased to half, then its resistancea)Will increase 4 timesb)Will become doubledc)Will remain the same as befored)Will become half the initial valueCorrect answer is option 'A'. Can you explain this answer?
Question Description
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