Question

How to check if the following equations are homogeneous in dimension

x=1/2 at

Answer 1

Answer:

checked : not homogeneous

Explanation:

LHS = x (distance/displacement)

x : metre

RHS = 1/2 (a t) : acceleration × time

a × t = (metre/sec^2) × (sec) = metre/sec

since,... metre ≠ metre/sec

LHS ≠ RHS

hence the equation is not homogeneous