Physical Quantities, Units, Dimensional Analysis

While deriving the relationship between physical quantities by dimensional analysis, dimensionless constant enters into the relationship. Can you find its magnitude by the method of dimensions?

Which one of the following physical quantities is a dimensional variable?

Dimensions Of Physical Quantities|Dimensional Formula|Dimensional Equation|Applications Of Dimensional Analysis|Practice Exercise|Summary

The pair of physical quantities having the same dimensional formula

The pair of physical quantities having the same dimensional formula are