Current Electricity Charging Discharging Of Capacitors Question 340

Question: A certain wire has a resistance $ R $ . The resistance of another wire identical with the first except having twice its diameter is

[CPMT 1999]

Options:

A) $ 2,R $

B) $ 0.25,R $

C) $ 4,R $

D) $ 0.5,R $

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Answer:

Correct Answer: B

Solution:

$ R\propto \frac{1}{A}\Rightarrow R\propto \frac{1}{r^{2}}\propto\frac{1}{d^{2}} $ [d = diameter of wire]