Question

Which of the following relation is not dimensionally correct ke kinetic energy and mass of wheel speed at height age relation due to gravity

Answer 1

In order to compare the dimensions, the constant terms are ignored.

mu2=mgh

Substitute the units for  both the quantities:

⇒kg(ms−1)2=kgms−2m

Compare the dimensions:

⇒[ML2T−2]=[ML2T−2]

The equation is dimensionally correct