Select the dimensional formula of frac{B^2}{2 | vedclass

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Question

(D) The expression $\frac{B^2}{2\mu_0}$ represents the magnetic energy density $(u_B)$ stored in a magnetic field.Energy density is defined as energy

Vedclass · Accepted Answer

$M^1 L^{-1} T^{-2}$

Vedclass · Answer

(D) The expression $\frac{B^2}{2\mu_0}$ represents the magnetic energy density $(u_B)$ stored in a magnetic field.Energy density is defined as energy per unit volume.$u_B = \frac{B^2}{2\mu_0} = \frac{	ext{Energy}}{	ext{Volume}}$The dimensional formula for energy is $[M^1 L^2 T^{-2}]$ and for volume is $[L^3]$.Therefore,the dimensional formula for magnetic energy density is:$\frac{[M^1 L^2 T^{-2}]}{[L^3]} = [M^1 L^{-1} T^{-2}]$Thus,the correct option is $D$.

Select the dimensional formula of $\frac{B^2}{2\mu_0}$.

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