The positive of a particle at time t is given by the relation `x(t)=((v_(0))/(alpha))(1-c^(-alphat))`, where `v_(0)` is a constant and `alpha gt 0`
The dimensions of `v_(0)` and `alpha` are respectively

Options

A. `M^(0) L^(-1) T^(-1)` and `T^(-1)`
B. `M^(0) L^(1) T^(0)` and `T^(-1)`
C. `M^(0) L^(1) T^(-1)` and `LT^(-2)`
D. `M^(0) L^(1) T^(-1)` and `T`

Answer

A

Explanation

`x(t) =(v_0/alpha)(1-e^(-alphat))`
`[alphat]` = [dimension less]
`[alpha]=[T^(-1)]`
`[v_0/alpha]=[L]implies[v_0]=[LT^(-1)]`