Which of the following physical quantities has neither dimensions nor unit?

angle

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Luminous intensity

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Coefficient of friction

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Solution

The correct option is A Coefficient of friction
Unit of angle is radian, that of luminous intensity is candela and that of current is Ampere. Coefficient of friction is unitless and dimensionless.
Coefficient of friction $= \frac{A p p l i e d f o r c e}{N o r m a l r e a c t i o n}$
$= \frac{[M L T^{- 2}]}{[M L T^{- 2}]} =$ No dimensions
Unit $= \frac{N}{N} =$ No unit.

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