Question

If v=at+b/t^2+c find the dimension of a,b and c

Answer 1

Here's your answer mate...

DIMENSION OF V=L/T=M⁰L¹T‐¹

V=at

M⁰L¹T-¹=a×T

M⁰L¹T-¹/T=a

M⁰L¹T-² =a

Similarly,

b/t²+c=a(only like quantities add)

c=T²(,,,, , , , , , , , , , , , )

b/T²=v

b=M⁰L¹T-1/T²

b=M⁰L¹T-³