In the relation $P=\frac{\alpha }{\beta }{e}^{-\frac{\alpha Z}{k\theta }}$ P is pressure, Z is the distance, k is Boltzmann constant and θ is the temperature. The dimensional formula of β will be

(1) $\left[{M}^{0}{L}^{2}{T}^{0}\right]$

(2) $\left[{M}^{1}{L}^{2}{T}^{1}\right]$

(3) $\left[{M}^{1}{L}^{0}{T}^{-1}\right]$

(4) $\left[{M}^{0}{L}^{2}{T}^{-1}\right]$

Concept Videos :-

#1 | Basic Concepts & Examples
#2 | Dimensional Analysis : Remaining

Concept Questions :-

Dimensions
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