The time dependence of a physical quantity `P` is given by `P = P_(0)e^(-alpha t^(2))` , where `alpha` is a constant and `t` is time . Then constant `alpha` is//has

Options

A. `[T^(-1)]`
B. `[T^(-2)]`
C. `[T^(1)]`
D. `[T^(2)]`

Answer

B

Explanation

`P = P_(0)e^(-alpha t^(2))` ………….
`[alpha t^(2)]=[M^(@)L^(@)T^(@)]`
`implies [alpha] = [T^(2)]`