Home
Class 11
PHYSICS
वांडरवाल्स गैस समीकरण (P+(a)/(V^(2))) (V...

वांडरवाल्स गैस समीकरण `(P+(a)/(V^(2))) (V-b) = RT` में P, V व T क्रमश: दाब, आयतन व ताप हैं तथा a, b व R नियतांक हैं । इसमें a का विमीय सूत्र है :

A

PV

B

`a/V^2`

C

`(ab)/V^2`

D

bP

Text Solution

Verified by Experts

The correct Answer is:
B

PV = Energy
`(P+a/V^2)(V-b) =nRT`
`implies (PV-bP+a/V-(ab)/V^2)=nRT`
`bp rarr` energy `a/V rarr` energy , `(ab)/(V^2) rarr` energy
Because quantity should be added or subtracted when their dimensions are same.
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Errors of Measurement)|35 Videos
  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise PAST YEARS QUESTIONS |24 Videos
  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise ASSERTION & REASON |17 Videos
  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise Assertion & Reason|22 Videos
  • WAVES AND SOUND

    ERRORLESS|Exercise ASSERTION & REASON |25 Videos

Similar Questions

Explore conceptually related problems

In equation (P+(a)/(V^(2)))(V-b)=RT , the dimensional formula of a is

ERRORLESS-UNITS, DIMENSIONS AND MEASUREMENT-NCERT BASED QUESTIONS (Dimensions)
  1. X=3YZ^(2) find dimension of Y in (MKSA) system, if X and Z are the dim...

    Text Solution

    |

  2. The frequency of vibration of string is given by v = (p)/(2 l) [(F)/(m...

    Text Solution

    |

  3. वांडरवाल्स गैस समीकरण (P+(a)/(V^(2))) (V-b) = RT में P, V व T क्रमश: द...

    Text Solution

    |

  4. The dimensions of e^(2)//4pi epsilon(0)hc, where e, epsilon(0),h and ...

    Text Solution

    |

  5. The dimensional formula for Boltzmann's constant is

    Text Solution

    |

  6. Frequency is the function of density (rho) , length (a) and surface te...

    Text Solution

    |

  7. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

  8. Experiments reveal that the velocity v of water waves may depend on th...

    Text Solution

    |

  9. A small steel ball of radius r is allowed to fall under gravity throug...

    Text Solution

    |

  10. In a system of units if force (F), acceleration (A) and time (T) are t...

    Text Solution

    |

  11. If the time period (T)of vibration of a liquid drop depends on surface...

    Text Solution

    |

  12. If the energy (E), velocity (v) and force (F) are taken as fundamental...

    Text Solution

    |

  13. If the velocity of light (c) , gravitational constant (G) and Planck's...

    Text Solution

    |

  14. यदि बल (F), लम्बाई (L) तथा समय (T) को मूलभूत राशि माना जाए, तो द्रव्यम...

    Text Solution

    |

  15. Position of a body with acceleration a is given by x=Ka^mt^n, here t i...

    Text Solution

    |

  16. A dimensionally consistent relation for the volume V of a liquid of co...

    Text Solution

    |

  17. A plane electromagnetic wave propagating along y-direction can have th...

    Text Solution

    |

  18. A liquid drop placed on a horizontal plane has a near spherical shape ...

    Text Solution

    |

  19. The dimensions of Stefan-Boltzman constant sigma can be written in ter...

    Text Solution

    |

  20. The dimensions of the area A of a black hole can be written in terms o...

    Text Solution

    |