In a typical combustion engine the workdone by a gas molecule is given by W = α ²β e^((- β x²)/kT), where x is the displacement, k is the Boltzmann constant and T is the temperature. If α and β are constants, dimensions of α will be:

Units and Measurements: JEE Main 2021 Physics question

JEE Main 2021 · 26 Feb, Morning shift · Q8244

JEE Main 202126 Feb, Morning shiftPhysicsMediumUnits and Measurements122× since 2002

In a typical combustion engine the workdone by a gas molecule is given by

W = {\alpha ^2}\beta {e^{{{ - \beta {x^2}} \over {kT}}}}

, where x is the displacement, k is the Boltzmann constant and T is the temperature. If

\alpha

and

\beta

are constants, dimensions of

\alpha

will be :

JEE Main 2021 Units and Measurements Question with Solution (26 Feb Morning shift, Q8244) | JEE Arc