Question

Write the dimensions of a & b in the formula v= a+bt, where v is the velocity and t is time.

Answer 1

Given,V=a+bt
According to law of homogeneity,
Units of V=units of a= (units of b)(units of t)
[V]=[LT^(-2)]
[a]=[LT^(-2)]--------(1)
[b][T]=[LT^(-2)]
[b]=[LT^(-3)]-------(2)
From (1) and (2)
[a]÷[b]=[T]