Question

Using `mass (M), "length"(L) , time (T)` and current` (A) `as fundamental quantites the demension of permeability is
A. `[M^(-1)T^(-2)A]`
B. `[ML^(-2)T^(-2)A^(-2)]`
C. `[MLT^(-2)A^(-2)]`
D. `[MLT^(-1)A^(-1)]`

Answer 1

Correct Answer - c
Magnetic field due to straight solenoid is,
`B = mu_(0) n l`
`:. Mu_(0) = (B)/(n l )`
Dimensional formula of `B` is `[MT^(-2)A^(-1)]`
`[mu_(0)] = ([MT^(-2)A^(-1)])/([L^(-1)A]) = [MLT^(-2)A^(-2)] = [MLT^(-2)A^(-2)]`