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The dimension of ½ε₀E², where ε₀ is permittivity of free space and E is electric field, is:

1. [ML²T⁻²]
2. [ML⁻¹T⁻²]
3. [ML²T⁻¹]
4. [ML⁻¹T⁻¹]

Correct answer: [ML²T⁻²]

Solution

The term ½ε₀E² represents energy density. The dimension of energy is [ML²T⁻²], and since it is per unit volume, the dimension remains [ML²T⁻²].

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