The time dependence of a physical quantity \(p\) is given by \(p=p_{0} \exp \left(-a t^{2}\right)\), where \(a\) is a constant and \(t\) is the time. The constant a

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The time dependence of a physical quantity \(p\) is given by \(p=p_{0} \exp \left(-a t^{2}\right)\), where \(a\) is a constant and \(t\) is the time. The constant a

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kritika · Answer 1 · 2021-12-19T15:55:47+0000

Correct Option (b) has dimensions \(\left[T^{2}\right]\)
Explanation:
Given : \(p=p_{0} e^{-\alpha t^{2}}\)
\(\alpha t^{2}\) is a dimensionless
\(\therefore \quad \alpha=\frac{1}{t^{2}}=\frac{1}{\left[T^{2}\right]}=\left[T^{-2}\right]\)

The time dependence of a physical quantity \(p\) is given by \(p=p_{0} \exp \left(-a t^{2}\right)\), where \(a\) is a constant and \(t\) is the time. The constant a

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