Question

Select the dimensional formula of $\frac{B^2}{2{\mu }_0}$

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

Answer 1

Answer: (D)

$\frac{B^2}{2{\mu }_0}=Energydensity=\frac{Energy}{Volume}$
$\Rightarrow \frac{\left[M{L}^2{T}^{-2}\right]}{\left[L^3\right]}=\left[M{L}^{-1}{T}^{-2}\right]$