Given that \( \ln (\alpha / \mathrm{p} \beta)=\alpha z / k_{B} \theta \) where \( p \) is pressu...
Given that \( \ln (\alpha / \mathrm{p} \beta)=\alpha z / k_{B} \theta \) where \( p \) is pressure, \( z \) is distance, \( k_{B} \) is Boltzmann constant and \( \theta \) is temperature. The dimensions of \( \beta \) are (Useful formula: Energy \( =k_{B} \times \) temperature)
(a) \( \mathrm{L}^{0} \mathrm{M}^{0} \mathrm{~T}^{0} \)
(b) \( \mathrm{L}^{1} \mathrm{M}^{-1} \mathrm{~T}^{2} \)
(c) \( \mathrm{L}^{2} \mathrm{M}^{0} \mathrm{~T}^{0} \)
(d) \( \mathrm{L}^{-1} \mathrm{M}^{1} \mathrm{~T}^{-2} \)
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