Current Electricity Charging Discharging Of Capacitors Question 432

Question: The length of the resistance wire is increased by 10%. What is the corresponding change in the resistance of wire

[MH CET 2004]

Options:

A) 10%

B) 25%

C) 21%

D) 9%

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{R _{1}}{R _{2}}={{( \frac{l _{1}}{l _{2}} )}^{2}}, $ If $ l _{1}=100 $ then l2 = 110

Therefore $ \frac{R _{1}}{R _{2}}={{( \frac{100}{110} )}^{2}} $

Therefore $ R _{2}=1.21,R _{1} $ % change $ \frac{R _{2}-R _{1}}{R _{1}}\times 100=21% $