Question

THE DISTANCE COVERED BY AN OBJECT IS GIVEN BY X=A+BT^2 FIND THE DIMENSION OF A AND B

Answer 1

According to Principle of Homogeneity, from the equation,

X = A + BT²,

we have,

[X] = [A] = [B][T²]

Well, X is the distance, so,

[A] = [X] = M^0 L^1 T^0

And,

[B] = [X] / [T²] = M^0 L^1 T^(-2)