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The time dependence of a physical quanti...

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

A

is dimesionless

B

has dimesions of `T^(-2)`

C

has dimensions as that of `P`

D

has dimensions equal to the dimensions of `PT^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
(2) Power of `e` are dimensions. `alpha t^(2)` is dimensionless
Dimensions of `alpha : T^(-2)`
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