Question

Q8) The velocity V of a particle 1p
at time t is given by V = at + [b/
(t + c)] where a ,b and care
Constants. What is the
Dimensional formula of a
dimensional formula of (ac)/b

Answer 1

Answer:

at= m/s

We know t=s,

then a must have unit of  m/s²

Its dimensional formula is L/T²

Also

$\frac{b}{t+c} = m/s$

then b must have unit of length

and c must have unit of time.

Dimensional formula of ac/b = $\frac{LT}{T^2L} = \frac{1}T$