Question

why is strain a dimension less quantity???​

Answer 1

Answer:

Strain is the ratio of two quantities having the same dimension. The ratio of quantities with same dimensions gives merely a numerical value (As you know, a non-zero number divided by the same number results in 1). Because of this, strain has no dimensions

Explanation:

In dimensional analysis, a dimensionless quantity is a quantity to which no physical dimension is assigned, also known as a bare, pure, or scalar quantity or a quantity of dimension one,[1] with a corresponding unit of measurement in the SI of the unit one (or 1),[2][3] which is not explicitly shown. Dimensionless quantities are widely used in many fields, such as mathematics, physics, chemistry, engineering, and economics. An example of a quantity that has a dimension is time, measured in seconds.

Answer 2

Strain is the ratio of two quantities having the same dimension. The ratio of quantities with same dimensions gives merely a numerical value (As you know, a non-zero number divided by the same number results in. Because of this, strain has no dimensions.

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