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An expression for a dimensionless quanti...

An expression for a dimensionless quantity P is given by `P=(alpha)/(beta)log_(e)((kt)/(betax))`, where `alpha and beta` are constants, x is distance, k is Boltzmann constant and t is the temperature. Then the dimensions of `alpha` will be :

A

`[M^(0)L^(-1)T^(0)]`

B

`[ML^(0)T^(-2)]`

C

`[MLT^(-2)]`

D

`[ML^(2)T^(-2)]`

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