X is defined as under X = IFv^2/WL^3. Which physical quantity is represented by X. In formula I is moment of inertia; ​

Question

X is defined as under X = \(\frac{IFv^2}{WL^3}.\) Which physical quantity is represented by X. In formula I is moment of inertia; F is force; v is velocity, L is length and W is work.

Answer 1

According to question,

I = [M¹L²]; F = [M¹L¹T^-2]; v = [L¹T^-1] and L= [L¹]; W = [M¹L²T^-2]

or X = [M¹L⁰T^-2]

This dimensional formula represents surface tension, force constant and work/area. Therefore X represent all these three quantities.