Dimensions of electrical resistence are...

Dimensions of electrical resistence are

`[ML^(2)T^(-3) A^(-1)]`

`[ML^(2)T^(-3)A^(-2)]`

`[ML^(3)T^(-3) A^(-2)]`

`[ML^(-1)L^(3)T^(3)A^(2)]`

Text Solution

Verified by Experts

The correct Answer is:

Power `= i^(2)R rArr ("Work done")/("Time") = ("Force" xx"Distance")/("Time")`
`rArr [R] = [(MLT^(-2)L)/(T)] [ (1)/(A^(2))]`
`rArr [R] = [ML^(2)T^(-3)A^(-2)]`.

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Which of the following combinations has the dimension of electrical resistance ( in_(0) is the permittivity of vacuum and mu_(0) is the permeability of vacuum)?

`sqrt((in_(0))/(mu_(0))`

`sqrt((mu_(0))/(in_(0)))`

`(mu_(0))/(in_(0))`

`(in_(0))/(mu_(0))`

The dimensions of thermal resistance are

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

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

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

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

The dimensions of specific resistance are

`[ML^(2)T^(-2)A^(-1)]`

`[ML^(3)T^(-3)A^(-2)]`

`[ML^(3)T^(-2)A^(-1)]`

`[ML^(2)T^(-2)A^(-2)]`