Questions

The time dependence of a physical quantity P is given by $\mathrm{P}={\mathrm{P}}_{0}{\mathrm{e}}^{-{\mathrm{\alpha t}}^{2}},$where $\alpha $ is a constant and t is time. Then constant $\alpha $ is/has

60 mins Expert Faculty Ask Questions

a

Dimensionless

b

Dimensions of T-2

c

Dimensions of P

d

Dimensions of T2

detailed solution

Correct option is B

Here αt2 is a dimensionless. Therefore, α = 1/t2 and has the dimensions of T-2.

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