Test Academy | Pressure depends on distance as P= (α/ß)exp(-αz/( -kθ) ), where α, ß are constants, z is distance, k is Boltzmann's constant and θ is temperature. The dimensions of ß are [M⁰L²T⁰], [M⁻¹L⁻¹T⁻¹], [M⁰L²T⁰], [M⁻¹L⁻¹T²]

Question

Pressure depends on distance as P= (α/ß)exp(-αz/( -kθ) ), where α, ß are constants, z is distance, k is Boltzmann's constant and θ is temperature. The dimensions of ß are

Options :

[M⁰L²T⁰]
[M⁻¹L⁻¹T⁻¹]
[M⁰L²T⁰]
[M⁻¹L⁻¹T²]

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