The work done by a gas molecule in an isolated system is given by, W = α β 2 e - x 2 α k T , where x is the displacement, k is the Boltzmann constant and T is the temperature. α and β are constants. T

Question

The work done by a gas molecule in an isolated system is given by, W = α β 2 e - x 2 α k T , where x is the displacement, k is the Boltzmann constant and T is the temperature. α and β are constants. Then the dimensions of β will be:

TestHub · Accepted Answer

x 2 α k T → dimensionless ⇒ α = x 2 k T = L 2 ML 2 T - 2 = M - 1 T 2 Now W = α β 2 β = ML 2 T - 2 M - 1 T 2 = M 1 L 1 T - 2

Physics - Unit & Dimension Question with Solution | TestHub

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