Question

The time dependence of a physical quantity P is found to be of the form P = P_Oe$–\alpha t^{2}$where is time and α is some constant. Then the constant α will –

• A. Be dimensionless
• B. Have dimensions of T^–2
• C. have dimensions of P
• D. have dimensions of P multiplied by T^–2

Answer 1

Answer: (B)

Have dimensions of T^–2

Answer 2

P = $P_{0}e^{- \alpha t^{2}}$

Here αt² is dimensionless

∴ [α] = [T^–2]