Question

the velocity v of a point at a time t is given by v = at+b/(t+c). Find dimensions of a,b and c.

Answer 1

We have, v = at + b/(t + c)

Here, c is added by t , therefore, c = [T]

Again at = LT–1

Therefore, a = [LT–1]/T = LT–2

And [b]/[T] = [LT–1]

Therefore, [b] = [L]