Question

The velocity of a particle is given in terms of time t by the equation v=at+b/t+c what are the dimensions of a b and c

Answer 1

Answer: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]