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The dimension of 1/2ε₀E², where ε₀ is permittivity of free space and E is electric field

The dimension of 1/2ε₀E², where ε₀ is permittivity of free space and E is electric field, is:

Options

(a) ML²T⁻²
(b) ML⁻¹T⁻²
(c) ML²T⁻¹
(d) MLT⁻¹

Correct Answer:

ML⁻¹T⁻²

Explanation:

1/2 ?￢ﾂﾀE² represents energy density i.e., energy per unit volume.
⇒ [ 1/2 ?￢ﾂﾀE² ] = ML²T⁻² / L³
= ML⁻¹T⁻²

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