Current Electricity Charging Discharging Of Capacitors Question 429

Question: The following four wires are made of the same material and are at the same temperature. Which one of them has highest electrical resistance

[UPSEAT 2004]

Options:

A) Length = 50 cm, diameter = 0.5 mm

B) Length = 100 cm, diameter = 1 mm

C) Length = 200 cm, diameter = 2 mm

D) Length = 300 cm, diameter = 3 mm

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Answer:

Correct Answer: A

Solution:

$ R\propto \frac{l}{r^{2}} $ . For highest resistance $ \frac{l}{r^{2}} $ should be maximum, which is correct for option