Left(P+frac{a}{V^2}right)(V-b)=R T represents equation of state of some gases. Where P is pressure,

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1.Units, Dimensions and Measurement

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$\left(P+\frac{a}{V^2}\right)(V-b)=R T$ represents the equation of state of some gases. Where $P$ is the pressure, $V$ is the volume, $T$ is the temperature and $a, b, R$ are the constants. The physical quantity, which has dimensional formula as that of $\frac{b^2}{a}$, will be

A

Bulk modulus

B

Modulus of rigidity

C

Compressibility

D

Energy density

(JEE MAIN-2023)

Solution

${[b]=[V]}$

$\left[\frac{a}{b^2}\right]=[P] \quad \therefore \quad\left[\frac{b^2}{a}\right]=\frac{1}{[P]}=\frac{1}{[B]}=[K]$

Standard 11

Physics

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