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Which of the following statements is true regarding the dimensional formula of the dielectric constant (k)?

Option: 1

The dimensional formula of the dielectric constant is \mathrm{[M^{-1} L^{-3}\, T^{\,4} A^{2}]}


Option: 2

The dimensional formula of the dielectric constant is \mathrm{[M\, L\, T^{-1} A^{-1}]}


Option: 3

The dielectric constant is a dimensionless quantity and has no dimensional formula.


Option: 4

The dimensional formula of the dielectric constant is \mathrm{[M^{-1} L^{-1}\, T^{\,4}A^{2}].}


Answers (1)

best_answer

The dielectric constant (k) is defined as the ratio of the permittivity of a substance to the permittivity of free space. It is a dimensionless quantity and has no units or dimensional formula. Options A and D are incorrect as they provide the dimensional formula of permittivity of free space and electric permittivity of free space respectively. Option B is incorrect as it provides the dimensional formula of electric current density.

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Ritika Harsh

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