Q.

Resistance of a wire becomes [[1]] times if its diameter will be tripled.


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Detailed Solution

The resistance of a wire is inversely proportional to the square of its diameter. If the diameter of a wire is tripled, then its resistance becomes 1/9 times.
The resistance of a conductor is inversely proportional to its area of cross-section as well as the square of the diameter. That is,
     R1A  (Where R is resistance and A is the area of cross-section of conductor).
The resistance of a wire is inversely proportional to the square of its diameter. If the diameter of a wire is halved, then its resistance becomes four times. The characteristic of a conductor due to which it opposes the flow of current through is called resistance.
 
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Resistance of a wire becomes [[1]] times if its diameter will be tripled.