Q.

The dimensional formula of 12ε0E2  (ε0: permittivity of free space and  E: Intensity of electric field) is

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a

MLT−1

b

ML2T−1

c

ML−1T−2

d

ML2T−2

answer is C.

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Detailed Solution

GivenEnergy density of electric field  =12ε0E2Here ε0= Permittivity of free spaceE=Intensity of electric field⇒12ε0E2=EnergyVolume=ML2T−2L3=ML−1T−2∴Dimension formula of 12ε0E2=ML−1T−2Therefore, the correct answer is (C).
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The dimensional formula of 12ε0E2  (ε0: permittivity of free space and  E: Intensity of electric field) is