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Current Electricity · UPSC CDS/OTA · Question 98 of 120

Current Electricity: The resistance of a wire is 10 ohms. If its length is doubled and area is halved, what will be the new resistance?

Step-by-step solution. Current Electricity for UPSC CDS/OTA.

Topic
Current Electricity
Subject
General Studies
Difficulty
Medium
Solve Time
45-60 sec

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Q · Current ElectricityMedium · 45s

The resistance of a wire is 10 ohms. If its length is doubled and area is halved, what will be the new resistance?

TopicCurrent Electricity
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

R∝lAR∝Al​. New R = 10 × (2/0.5) = 40 ohms.

Final Answer: Option B - 40 ohms
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The resistance of a wire is 10 ohms. If its length is… - Current Electricity (General Studies) Solved Question