Question

By using the principle of 'Homoginity' check the given equation is dimensionally correct not. a) S=ut+at²​

Answer 1

Answer:

Check the correctness of s = UT +1/2at2

s is distance so it's dimensions become L.

Nd other side we have ut+1\2at^2.

as 1\2 is a constant it will have dimensions and apply the dimensions to other quantities.

on solving u will get L there also i,e ur LHS = RHS.

thus the equation is dimensionally consistent.