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Dimensions of permeability are...

Dimensions of permeability are

A

`A^(-2) M^(1) L^(1) T^(-2)`

B

`MLT^(-2)`

C

`ML^(0) T^(-1)`

D

`A^(-1) MLT^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
(1) `B = (mu_(0)i)/(2r)`
Unit of `mu_(0) : (N)/(amp.m) (m)/(amp) = (N)/(amp^(2))`
`[mu_(0)] = (MLT^(-2))/(A^(2)) = MLT^(-2) A^(-2)`
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Knowledge Check

  • The dimensions of permeability of free space can be given by

    A
    `[MLT^(-2)A^(-2)]`
    B
    `[MLA^(-2)]`
    C
    `[ML^(-3)T^(2)A^(2)]`
    D
    `[MLA^(-1)]`

  • Dimensions of magnetic permeability is :

    A
    `MLT^(2)A^(-2)`
    B
    `ML^(-1)T^(-2)A^(-2)`
    C
    `ML^(-2)T^(-2)A^(2)`
    D
    `MLT^(-2)A^(-2)`

  • In terms of resistance R and time T, the dimension of ratio (mu)/(varepsilon) of the permeability mu and permittivity varepsilon is :

    A
    `RT^(-2)`
    B
    `R^(2)T^(-2)`
    C
    `R^2`
    D
    `R^(2)T^(2)`

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