Verified Solution • 2025–26 Session moderate

QJEEM23Ph8756: JEE Main 2023 Physics - Class 11 JEEM23Ph8756 Solution: represents the equation of state of some gases. Where is the…

(P+aV2)(V−b)=RT\left(P+\frac{a}{V^{2}}\right)(V-b)=R T represents the equation of state of some gases. Where PP is the pressure, VV is the volume, TT is the temperature and a,b,Ra, b, R are the constants. The physical quantity, which has dimensional formula as that of b2a\frac{b^{2}}{a} , will be:

Multiple Choice Options

  • A Energy density
  • B Bulk modulus
  • C Modulus of rigidity
  • D Compressibility

Step-by-Step Verified Solution

[a]=[ML5 T−2][a]=\left[\mathrm{ML}^{5} \mathrm{~T}^{-2}\right]

amp;[b]=[L3]amp;[b2a]=[L6ML5 T2]=[M−1LT−2]amp;=[ Compressibility] \begin{aligned}& {[b]=\left[\mathrm{L}^{3}\right] } \\\\& {\left[\frac{b^{2}}{a}\right]=\left[\frac{\mathrm{L}^{6}}{\mathrm{ML}^{5} \mathrm{~T}^{2}}\right] }=\left[\mathrm{M}^{-1} \mathrm{LT}^{-2}\right] \\\\&=[\text { Compressibility] }\end{aligned}

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