Question

What is

i) dimension less constant and dimension less variable.

ii)dimension full constant and dimension full variable.

Explain with example .

What is the difference between all these four?

Answer 1

i) Dimensionless quantity is a quantity to which no physical dimension is assigned. So they do not have any dimention. Avogadro's onstant is a example of dimensionless constant, refractive index is a dimensionless variable. Both have no dimension.

ii) Dimension having quantities are; gravitational constant (Dimension - M^-1L³T^-2) is example for dimension constant, Force (Dimension - MLT^-2) example for dimension variable.

Difference between variable and constant is constant did not change it's value. But variable have multiple values.Difference between dimensionless and dimension full are discussed above (Dimensionless have no dimension assigned but dimensionfull have dimension assigned)