Home
Class 12
PHYSICS
The dimensions of universal gas constant...

The dimensions of universal gas constant is

A

`[L^(2)M^(1)T^(-2)K^(-1)"mol"^(-1)]`

B

`[L^(1)M^(2)T^(-2)K^(-1)"mol"^(-1)]`

C

`[L^(1)M^(1)T^(-2)K^(-1)"mol"^(-1)]`

D

`[L^(2)M^(2)T^(-2)K^(-1)"mol"^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
A
`R=(PV)/(muT)=(W)/(muT)=(ML^(2)T^(-2))/("mol K")=[M^(1)L^(2)T^(-2)K^(-1)" mol"^(-1)]`
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept Applicator|30 Videos

  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 1 : Concept Builder (Topicwise)(Topic 2 : Errors in Measurements and Significant Figures)|28 Videos

  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|28 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|26 Videos

Similar Questions

Explore conceptually related problems

Which of the following is dimension of universal gas constant R?

The unit of universal gas constant is

S.I. unit of universal gas constant is

The dimensions of universal gravitational constant are :-

The Energy (E) angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is

DISHA PUBLICATION-PHYSICAL WORLD, UNITS AND MEASUREMENTS-Exercise - 1 : Concept Builder (Topicwise)(Topic 3 : Dimensions of Physical Quantities)
  1. Which physical quantities have the same dimension?

    Text Solution

    |

  2. The dimensions of physical quantity X in the equation Force =(X)/("Den...

    Text Solution

    |

  3. Which of the following units denotes the dimension (ML^(2))/(Q^(2)), w...

    Text Solution

    |

  4. Which of the following has the same dimensions?

    Text Solution

    |

  5. The dimensions of voltage in terms of mass (M), length (L) and time (T...

    Text Solution

    |

  6. If L denotes the inductance of an inductor through which a current i i...

    Text Solution

    |

  7. Whether a given relation / formula is correct or not can be checked on...

    Text Solution

    |

  8. If p=(RT)/(V-b)e^(-alphaV//RT) , then dimensional formula of alpha is ...

    Text Solution

    |

  9. Time (T), velocity (3) and angular momentum (h) are chosen as fundamen...

    Text Solution

    |

  10. suppose the kinetic energy of a body oscillating with amplitude A and ...

    Text Solution

    |

  11. The dimensions of universal gas constant is

    Text Solution

    |

  12. The velocity v of a particle at time t is given by v=at+b/(t+c), where...

    Text Solution

    |

  13. In the formula X = 3Y Z^(2) , X and Z have dimensions of capacitance...

    Text Solution

    |

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

    Text Solution

    |

  15. If the dimensions of a physical quantity are given by M^(a)L^(b)T^(c)...

    Text Solution

    |

  16. If the time period t of the oscillation of a drop of liquid of density...

    Text Solution

    |

  17. Given as : h=(2 S cos theta)/(r rhog) where S is the surface tension o...

    Text Solution

    |

  18. The volume V of water passing and any point of a uniform tube during t...

    Text Solution

    |

  19. Given that in (alpha//pbeta )=alphaz//K(B)theta where p is pressure, z...

    Text Solution

    |

  20. The position x of a particle at time t is given by x=(V(0))/(a)(1-e^(-...

    Text Solution

    |