Question
Question: The time dependence of a physical quantity P is found to be of the form P = \(P_{0}e^{- \alpha t^{2}...
The time dependence of a physical quantity P is found to be of the form P = P0e−αt2 where t is time and a is some constant. Then the constant a will –
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(a) Be dimensionless
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(b) Have dimensions of T–2
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(c) Have dimension of P
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(d) Have dimensions of P multiplied by T–2
Explanation
Solution
(b)
Sol. at2 is dimensionless