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

Question

Dr. Abubacker · Accepted Answer

Here $\alpha t^{2}$ is a dimensionless. Therefore, $\alpha = \frac{1}{t^{2}}$ and has the dimension of $\left\lbrack T^{- 2}\ \right\rbrack.$

Q. The time dependence of a physical quantity $P$ is given by $P = P_{0}e^{at^{2}} - at^{2}$ where $\alpha$ is a constant and $t$ is time. Then constant $\alpha$ is

Explanation

Reviewed by Dr. Abubacker

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