Question

Which of the following is the dimensional formula for electric polarisation?

Options

• [M⁰ L^-2 T¹ l¹]

• [M¹ L^-2 T¹ l^-1]

• [M⁰ L^-1 T¹ l¹]

• [M⁰ L^-2 T¹ l¹]

Answer 1

[M⁰ L^-2 T¹ l¹]

Explanation:

Electric polarisation (P) is given by

P = ε₀ χ E

where, E is electric field and χ is electric susceptibility and it is dimensionless quantity, Dimensional formula of P = Dimensional formula of (ε₀) x Dimensional formula of E

= [M_-1 L^-3 T⁴ l²][ML T^-3 i^-1] = [M⁰ L^-2 T¹ l¹]