The time dependence of a physical quantity `P` is given by `P = P_(0)e^(-alpha t^(2))` , where `alpha` is a constant and `t` is time . Then constant `alpha` is//hasA. DimensionlessB. Dimensions of `T^(-2)`C. Dimensions of `P`D. Dimensions of `T^(2)`

The time dependence of a physical quantity `P` is given by `P = P_(0)e

1.	The time dependence of a physical quantity `P` is given by `P = P_(0)e^(-alpha t^(2))` , where `alpha` is a constant and `t` is time . Then constant `alpha` is//hasA. DimensionlessB. Dimensions of `T^(-2)`C. Dimensions of `P`D. Dimensions of `T^(2)`
Answer» Correct Answer - B Here `alpha t^(2)` is a dimensionless. Therefore , `alpha = (1)//(t^(2))` and has the dimension of `T^(-2)`.

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The time dependence of a physical quantity `P` is given by `P = P_(0)e^(-alpha t^(2))` , where `alpha` is a constant and `t` is time . Then constant `alpha` is//hasA. DimensionlessB. Dimensions of `T^(-2)`C. Dimensions of `P`D. Dimensions of `T^(2)`

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