Statement - I : A unitless physical quantity must be dimensionless.
Statement - II : A pure number is always dimensionless.

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Both statements I and II are correct

Statement-I is incorrect and statement-II is correct

Both statements I and II are incorrect

Statement-I is correct and statement-II is incorrect

answer is A.

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Detailed Solution

A unitless quantity will always be dimensionless as it has to be a ratio of quantities with the same dimensions.

In dimensional analysis, a dimensionless quantity or quantity of dimension one is a quantity without an associated physical dimension. It is thus a "pure" number, and as such always has a dimension of 1.

Hence both are true.

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