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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)exp(-at^(2))`, where a is a constant and 't' is time . The constant a is

A

dimensionless

B

has dimensions `T^(–2)`

C

has dimensions of P

D

has dimensions `T^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`alphat^(2)` = constant `alpha=(1)/(t^(2))=[T^(-2)]`
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Knowledge Check

  • 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 dimensionless
    B
    Has dimensions `T^(-2)`
    C
    Has dimensions of P
    D
    Has dimensions `T^(2)`

  • 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 dimensionless
    B
    has dimensions [`T^(-2)`
    C
    has dimensions of P
    D
    has dimensions `[T^(2)]`

  • 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 is

    A
    dimensionless
    B
    has dimensions `T^(-2)`
    C
    has dimensions of P.
    D
    has dimensions `T^2`

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