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Dimension of resistivity is...

Dimension of resistivity is

A

`ML^(2)T^(-2)I^(-1)`

B

`ML^(3)T^(-3)I^(-2)`

C

`ML^(3)T^(-2)I^(-1)`

D

`ML^(2)T^(-2)I^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
C
By definition
`R=rho (1)/(A)`
`implies rho=(RA)/(I)=((V)/(I)A)/(I)=(VA)/(I)`
`therefore [rho] =([V][A])/([I][I])`
`implies (ML^(2)T^(-2)L^(2))/(IL)=[ML^(3)T^(-2)I^(-1)]`
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