Question

S=at+bt^2 where s is displacement, t is time and a and b are some physical quantities.. Find the dimensional formulae of a and b. ​

Answer 1

Explanation:

We know principle of homogeneity,

dimension of S = dimension of at

:: [L]¹ = a×[T]¹

[LT-¹] = a

dimension formula of a = [LT^-¹]

Now,

dimension formula of S = dimension of bt^²

[L] = b × [T]²

[LT^-²] = b

dimension of b is [LT^-²]