Current Electricity Charging Discharging Of Capacitors Question 391
Question: A uniform wire of resistance R is uniformly compressed along its length, until its radius becomes n times the original radius. Now resistance of the wire becomes
[KCET 2000]
Options:
A) $ \frac{R}{n^{4}} $
B) $ \frac{R}{n^{2}} $
C) $ \frac{R}{n} $
D) nR
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{R _{1}}{R _{2}}={{( \frac{r _{2}}{r _{1}} )}^{4}}\Rightarrow \frac{R}{R _{2}}={{( \frac{nr}{r} )}^{4}}\Rightarrow R _{2}=\frac{R}{n^{4}} $ .
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