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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

`1.35xx10^(-6)Omega`

B

`2.7xx10^(-9)Omega`

C

`4.05xx10^(-6)Omega`

D

`8.1xx10^(-6)Omega`

Text Solution

Verified by Experts

The correct Answer is:
B
By using R=`p(l)/(A)`,`(R_(disc))/(I_(rod))xx(A_(rad))/(A_(disc))` `rArr` `(R_(disc))/(3xx10^(-3))`=`(10^(-3))/(1)xx(pi(0.3xx10^(-2)))/(pi(10^(-2))^(2))` `rArr` `R_(disc)`=`2.7xx10^(-70Omega)`
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