Physics

Choose the false statement from given statements.
I. Relative permittivity is dimensionless variable.
II. Angular displacement has neither units nor dimensions.
III. Refractive index is dimensionless variable.
IV. Permeability of vacuum is dimensional constant.


ANSWER

Only II


SOLUTION
Statements 1 and 3 are true because both these are ratios of two quantities with same dimensions, thus they are dimensionless. 
Statement 4 is also correct because permeability of vacuum is a dimensionless constant with value equal to $$8.85\times 10^{-12}$$.
But angular displacements has unit (although no dimensions). It has the unit 'radian'.
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