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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 $α$ : |
is dimensionless has dimensions of $T^{–2}$ has dimensions as that of P has dimensions equal to the dimensions of $PT^{–2}$ |
has dimensions of $T^{–2}$ |
The correct answer is Option (2) → has dimensions of $T^{–2}$ $P=P_0e^{αt^2};αt^2=1$ ∴ dimensions of $α=\frac{1}{t^2}=T^{-2}$ |
