Current Electricity Charging Discharging Of Capacitors Question 323

Question: If a 0.1 % increase in length due to stretching, the percentage increase in its resistance will be

[MNR 1990; MP PMT 1996; UPSEAT 1999; MP PMT 2000]

Options:

A) 0.2 %

B) 2 %

C) 1 %

D) 0.1 %

Show Answer

Answer:

Correct Answer: A

Solution:

$ R\propto l^{2} $
$ \Rightarrow $ $ \frac{\Delta R}{R}=\frac{2\Delta l}{l} $
$ \Rightarrow $ $ \frac{\Delta R _{0}}{R}%=2\times 0.1=0.2% $