Typical combustion engine work |UnitMeasurementJEEMain2022

JEE MAIN 2021

26-02-2021 S1

Question

In a typical combustion engine the work done by a gas molecule is given $\mathrm{W}=\alpha^2 \beta e^{\frac{-\beta \mathrm{x}^2}{\mathrm{kT}}}$ 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

Select the correct option:

$\left[\mathrm{MLT}^{-2}\right]$

$\left[\mathrm{M}^0 \mathrm{LT}^0\right]$

$\left[\mathrm{M}^2 \mathrm{LT}^{-2}\right]$

$\left[\mathrm{MLT}^{-1}\right]$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution