Current Electricity Charging Discharging Of Capacitors Question 363

Question: The resistance of a wire is $ 10,\Omega $ . Its length is increased by 10% by stretching. The new resistance will now be

[CPMT 2000; Pb PET 2004]

Options:

A) $ 12,\Omega $

B) $ 1.2,\Omega $

C) $ 13,\Omega $

D) $ 11,\Omega $

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Answer:

Correct Answer: A

Solution:

Since $ R\propto l^{2} $

Therefore If length is increased by 10%, resistance is increases by almost 20% Hence new resistance $ R’=10+20% $ of 10 $ =10+\frac{20}{100}\times 10=12,\Omega . $