Question

13. The time dependence of a physical quantity P is
given by P-Po expl-a tº), where a is a constant
and t is time. The constanta
(1) is dimensionless (2) has dimensions (T 4
(3) has dimensions of P (4) has dimensions (T2)​

Answer 1

Given:

The time dependence of physical quantity P is found to be of the form

p=poexp(-α t2)

αt2 is dimensionless

Therefore:

α=1/t2

=1/[T2]

=[T-2] or[T⁻²]

Conclusion :

constant α will [T-2] or[T⁻²]