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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^(-8)` ohm

B

`2.70xx10^(-7)` ohm

C

`4.05xx10^(-6)`ohm

D

`8.10xx10^(-5)` ohm

Text Solution

Verified by Experts

Resistivity of the material of the rod
`p=(RA)/1=(3xx10^-3pi(0.3xx10^-2)^2)/1=27xx10^(-9)piOmegaxxm`
Resistance of disc `R = ("(thickness)")/("(Area of cross section)")`
`=27xx10^(-9)pixx((10^-3))/(pixx(1xx10^-2)^2)=2.7xx10^-7Omega `
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