AIPMT PRELIMS 2010 Physics Dimensional Analysis MCQ Question with Solution

The dimension of $\frac{1}{2} \varepsilon_0 E^2$ , where $\varepsilon_0$ is permittivity of free space and E is electric field, is

A

MLT⁻¹

B

ML²T⁻²

C

ML⁻¹T⁻²

D

ML²T⁻¹

Correct Answer

Option C

Detailed Explanation

The energy density is given by $\frac{1}{2} \varepsilon_0 E^2$ , which has the dimensions of energy per unit volume. The dimensional formula for energy is $ML²T⁻²$ and for volume is $L³$ , so the dimensional formula for energy density is $M L⁻¹ T⁻²$ .

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All Physics Questions Units and Measurement Questions AIPMT PRELIMS 2010 PYQ

AIPMT PRELIMS 2010 Physics Dimensional Analysis MCQ Question

Correct Answer

Detailed Explanation

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