Question

which of the following is not a dimensionless variable.
1. density
2. Specific gravity
3. Angle
4. Strain​

Answer 1

Option which is not dimensionless variable is -

1. density

Dimensionless quantities are the ones which do not have any units. They are multiplied or divided with values having units which cancel each other. In short, dimensionless quantities only have numbers.

Density is defined as mass per unit volume. Volume has units m³ or cm³.

Mass is represented as M. Volume is represented as L³.

With respect to formula of density, dimensions will be - ML-³.

Answer 2

Option (1). is the correct answer

Density is not a dimensionless variable.

Explanation:

• The ones which do not have any units are called Dimensionless quantities.
• They are multiplied or divided with values having units which cancel each other. In short, dimensionless quantities only have numbers.
• Density is defined as mass per unit volume. Volume has units m³ or cm³.
• Mass is represented as M. Volume is represented as L³.
• With respect to formula of density, dimensions will be - ML-³.

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