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1.Units, Dimensions and Measurement
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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)
Solution
By principle of homogenity
${[ P ]=\left[\frac{ a }{ v ^{2}}\right] \text { and }[ b ]=[ v ]}$
$\Rightarrow\left[\frac{ a }{ b }\right]=[ PV ]$
Standard 11
Physics
