In a typical combustion engine the work done by a gas molecule is given by \(W={\alpha }^{2}\beta {e}^{-\frac{\beta {x}^{2}}{kT}}\), where x is the displacement, k is the Boltzmann constant and T is the temperature. If \(\alpha\) and \(\beta\) are constants, dimension of \(\alpha\) will be :

[JEE Main 2021, 26 Feb (Shift 1)]

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In a typical combustion engine the work done by a gas molecule is given by \(W={\alpha }^{2}\beta {e}^{-\frac{\beta {x}^{2}}{kT}}\), where x is the displacement, k is the Boltzmann constant and T is the temperature. If \(\alpha\) and \(\beta\) are constants, dimension of \(\alpha\) will be :

[JEE Main 2021, 26 Feb (Shift 1)]

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