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The time dependance of a physical quanti...

The time dependance of a physical quantity `P` is given by `P=P_(0)e^(alphat^(2)` where `alpha` is a constant and `t` is time. Then constant `alpha` is :

A

dimensionless

B

has dimension of `T^(-2)`

C

has dimension of `P`

D

has dimension of `T^(2).`

Text Solution

Verified by Experts

The correct Answer is:
B
Here `alphat^(2)` is a dimensionless. Therefore, `alpha=(1)/(t^(2))` and `alpha` has the dimensions of `T^(2).`
Hence correct choice is `(b).`
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