Q 11-01-136JEE MainJEE Main 2023 (13 Apr, Shift 2)Easy
In the equation $\left(X+\dfrac{a}{Y^2}\right)(Y-b)=RT$, $X$ is pressure, $Y$ is volume, $R$ is universal gas constant and $T$ is temperature. The physical quantity equivalent to the ratio $\dfrac ab$ is
Answer: (B) Energy
$\dfrac{a}{Y^2}$ has the dimensions of pressure, so $[a]=[PV^2]$; $b$ has the dimensions of volume.
$\dfrac ab=[PV]$, which is energy.
Solution by Sreeraj P, M.Sc Physics