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A negligbly small current is passed thro...

A negligbly small current is passed through a wire of length 15 cm and uniform cross-section `6.0xx10^(-7) m^(2)` and its resistance is measured to be `5.0 Omega`. What is the resistivity of the material at the temperature of the experiment ?

A

`1 xx 10^(-7) Omega - m`

B

`2 xx 10^(-7) Omega- m`

C

`3 xx 10^(-7) Omega- m`

D

`4 xx 10^(-7) Omega- m`

Text Solution

Verified by Experts

The correct Answer is:
B
Given: Length of wire `(I) = 15 m`
Area (A) `= 6 xx 10^(-7) m^(2)`
Resistance ` (R ) = 5 Omega`
We know that resistance of the wire material
`R = rho ( l)/( A) rArr 5 = rho xx ( 15)/( 6 xx 10^(-7) ) = 2.5 xx 10^(-7) rho`
`rArr rho = ( 5) /( 2.5 xx 10^(7)) = 2 xx 10^(-7) Omega -m`
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