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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

`[T^(-1)]`

B

`[T^(-2)]`

C

`[T^(1)]`

D

`[T^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
`P = P_(0)e^(-alpha t^(2))` ………….
`[alpha t^(2)]=[M^(@)L^(@)T^(@)]`
`implies [alpha] = [T^(2)]`
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