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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) exp (-alpha t^(2))`, where `alpha` is a constant and t is time. The constant `alpha`

A

is dimensionless

B

has dimensions `[T^(-2)]`

C

has dimensions `[T^(2)]`

D

has dimensions of p.

Text Solution

Verified by Experts

The correct Answer is:
B
Given: `p=p_(0)e^(-alphat^(2))`
`alphat^(2)` is dimensionless.
`:.alpha=(1)/(t^(2))=(1)/([T^(2)])=[T^(-2)]`
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