The dimensional formula of frac{B^2}{2mu_0} i | vedclass

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Question

(A) The quantity $\frac{B^2}{2\mu_0}$ represents the magnetic energy density $(u_B)$, which is defined as the energy stored per unit volume in a magne

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) The quantity $\frac{B^2}{2\mu_0}$ represents the magnetic energy density $(u_B)$, which is defined as the energy stored per unit volume in a magnetic field.Energy $(E)$ has the dimensional formula $[ML^2T^{-2}]$.Volume $(V)$ has the dimensional formula $[L^3]$.Therefore, the dimensional formula for magnetic energy density is $\frac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]$.Thus, the correct option is $A$.

The dimensional formula of $\frac{B^2}{2\mu_0}$ is . . . . . . .

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