1.

The time dependence of a physical quantity P is given by `P=P_(0) exp (-alpha t^(2))`, where `alpha` is a constant and t is time. The constant `alpha`A. is dimensionlessB. has dimensions `[T^(-2)]`C. has dimensions `[T^(2)]`D. has dimensions of `p`

Answer» Correct Answer - B
`p = p_(0) exp (-alphat^(2))`
As powers of exponential quantity is dimesnionless, so `alphat^(2)` is dimensions.
or `alphat^(2) =` dimensionless `= [M^(0)L^(0)T^(0)]`
`:. alpha = (1)/(t^(2)) = (1)/([T^(2)]) = [T^(-2)]`


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