Q.

The dimension of 12ε0E2, where ε0 is permittivity of free space and E is electric field is

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a

[ML2T-2]

b

[ML-1T-2]

c

[M1L0T-2]

d

[MLT-1]

answer is B.

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Detailed Solution

formula for ε0=q2Fr2 and electric field is Fq so ε0E2=q2Fr2F2q2=Fr2=ML1T-2L2=ML-1T-2
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The dimension of 12ε0E2, where ε0 is permittivity of free space and E is electric field is