The dimensions of electrical conductivit...

The dimensions of electrical conductivity are ……..

Text Solution

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`sigma = (1)/( rho) = (l)/(R A) = (l)/((V)/(I)A) = (Il)/(VA) = (Il)/((W)/(q) A) = (I l q)/(WA) xx (t)/(t)`
`= (I^(2)"lt")/( WA) = (A^(2) LT^(1))/( ML^(2) T^(-2) L^(2)) = [M^(-1) L^(-3) T^(3) A^(2)]`

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In the following 'I' refers to current and other symbols have their usual meaning. Chosse the option that corresponds to the dimensions of electrical conductivity:

`M^(-1)L^(-3)T^(3)I`

`M^(-1)L^(3)T^(3)I`

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

`M^(-1) L^(-3)T^(3)I^(2)`

The unit of electrical conductivity is

`ohm-m^-2`

`ohmxxm`

`ohm^-1xxm^-1`

none of these

The dimensions of electric intensity are

`[M^(0)L^(0)T^(1)A^(1)]`

`[M^(1)L^(3)T^(-3)A^(-1)]`

`[M^(1)L^(1)T^(-3)A^(-1)]`

`M^(1)L^(-1)T^(3)A^(1)]`