Question

Dimensional formula for intensity of magnetising field and magnetic susceptibility are.

• A. $\left[M^{0}A{L}^{-1}{T}^0\right]\left[M^0{A}^0{L}^0{T}^0\right]$
• B. $\left[M^0{A}^2{L}^{-1}{T}^2\right]\left[M^{0}AL{T}^{-1}\right]$
• C. $\left[M^0{A}^1{L}^{-1}{T}^2\right]\left[M^0{A}^0{L}^0{T}^0\right]$
• D. $\left[ML{T}^{-2}\right]\left[M{L}^2{T}^{-2}\right]$

Answer 1

The correct option is A $\left[M^{0}A{L}^{-1}{T}^0\right]\left[M^0{A}^0{L}^0{T}^0\right]$

$H=\frac{B}{{\mu }_0}=ni$
(for solenoid having vacuum in core)
$=A/meter=\left[M^0{A}^1{L}^{-1}{T}^0\right]$
$X=\frac{I}{H}=\frac{A/m}{A/m}=\left[M^0{L}^0{A}^0{T}^0\right]$
$\left[M^{0}A{L}^{-1}\right]T^0\left]\right[M^0{A}^0{L}^0{T}^0]$