Current Electricity Charging Discharging Of Capacitors Question 424

Question: The new resistance of wire of R W, whose radius is reduced half, is

[J & K CET 2004; Pb PMT 2004]

Options:

A) 16 R

B) 3 R

C) 2R

D) R

Show Answer

Answer:

Correct Answer: A

Solution:

In stretching, $ \frac{R _{2}}{R _{1}}={{( \frac{r _{1}}{r _{2}} )}^{4}} $
$ \Rightarrow ,\frac{R _{2}}{R}={{( \frac{2}{1} )}^{4}} $
$ \Rightarrow ,R _{2}=16R $