$\left(P+\frac{a}{V^2}\right)(V-b)=R T$ 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, Diffcult
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The dimensional formula for young's modulus is
    View Solution
  • 2
    If the dimensions of length are expressed as ${G^x}{c^y}{h^z}$; where $G,\,c$ and $h$ are the universal gravitational constant, speed of light and Planck's constant respectively, then
    View Solution
  • 3
    In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $c$, the dimensionally correct equation$(s)$ is(are)

    $(A)$ $\mu_0 I ^2=\varepsilon_0 V ^2$ $(B)$ $\varepsilon_0 I =\mu_0 V$ $(C)$ $I =\varepsilon_0 cV$ $(D)$ $\mu_0 cI =\varepsilon_0 V$

    View Solution
  • 4
    $10$ divisions on the main scale of a Vernier calliper coincide with $11$ divisions on the Vernier scale. If each division on the main scale is of $5$ units, the least count of the instrument is :
    View Solution
  • 5
    $5.74 \;g$ of a substance occuples $1.2\; cm ^{3} .$ Express its density(in $g/cm^3$) by keeping the significant figures in view.
    View Solution
  • 6
    A physical quantity $p$ is described by the relation $p\, = a^{1/2}\, b^2\, c^3\, d^{-4}$ If the relative errors in the measurement of $a, b, c$ and $d$ respectively, are $2\% , 1\%, 3\%$ and $5\%$, then the relative error in $P$ will be $........... \%$
    View Solution
  • 7
    The velocity of a freely falling body changes as ${g^p}{h^q}$ where g is acceleration due to gravity and $h$ is the height. The values of $p$ and $q$ are
    View Solution
  • 8
    The correct value of ${0^o}C$ on the Kelvin scale is ........... $K$
    View Solution
  • 9
    $Parsec $ is a unit of
    View Solution
  • 10
    Zero error of an instrument introduces
    View Solution