In Vander Waals equation $\left[ P +\frac{ a }{ V ^{2}}\right][ V - b ]= RT$; $P$ is pressure, $V$ is volume, $R$ is universal gas constant and $T$ is temperature. The ratio of constants $\frac{a}{b}$ is dimensionally equal to .................
A$\frac{P}{V}$
B$\frac{ V }{ P }$
C$PV$
D$PV ^{3}$
JEE MAIN 2022, Medium
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C$PV$
c By principle of homogenity
${[ P ]=\left[\frac{ a }{ v ^{2}}\right] \text { and }[ b ]=[ v ]}$
$\Rightarrow\left[\frac{ a }{ b }\right]=[ PV ]$
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