The time dependence of a physical quantity P is given by $P = P_0$ exp $(αt^2)$ where $α$ is a constant and $t$ is time. The constant $α$ :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → has dimensions of $T^{–2}$
$P=P_0e^{αt^2};αt^2=1$
∴ dimensions of $α=\frac{1}{t^2}=T^{-2}$