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A rod of certain metal is 1.0 m long and...

A rod of certain metal is `1.0 m` long and `0.6 cm` in diameter. Its resistance is `3.0 xx 10&(-3)` ohm. Another disc made of the same metal is `2.0 cm` in diameter and `1.0 mm` thick. What is the resistance between the round faces of the disc?

A

`1.35 times 10^-4 Omega`

B

`2.70 times 10^-7 Omega`

C

`4.05 times 10^-6 Omega`

D

`8.10 times 10^-5 Omega`

Text Solution

Verified by Experts

`p=(3 times10^-3 timespi(0.3 times10^-2)^2)/1=227pi times 10^-9 Omega m`
`R=(p times thickn ess)/A=27pi times 10^-9 times10^-3/(pi(1 times 10^-2)^2)=2.7 times 10^-7 Omega`
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