Home
Class 12
PHYSICS
If the velocity of light c, Planck's con...

If the velocity of light `c,` Planck's constant `h` and gravitation constant `G` are adopted as fundamental units of a system, the dimensions of force in the system would be :

A

`G^(4)h^(-1)`

B

`G^(-1)c^(4)h^(0)`

C

`G^(-1)c^(0)h^(4)`

D

`Gc^(-1)h^(0)`

Text Solution

Verified by Experts

The correct Answer is:
B
Proceed as in `Q 108`with `L.H.S.` as `MLT^(-2)` and find the values. `(b)` is correct answer.
Promotional Banner

Topper's Solved these Questions

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-III)|6 Videos

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|7 Videos

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|7 Videos

  • UNIT TEST PAPER NO.4

    MODERN PUBLICATION|Exercise MCQ|31 Videos

  • WAVE MOTION

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

If C, the velocity of light, g the acceleration due to gravity and P the atmospheric pressure in M.K.S units are the fundamental units then the dimension of length will be :

The speed of light c , acceleration due to gravity g and pressure p are taken as fundamental units, the dimensions of gravitational constant G are :

If the velocity (V), acceleration (A) and force (F) are taken as fundamental quantities instead of mass (M), length (L) and time (T), the dimensions of young's modulus (Y) would be :

If 'G''c' and 'h' are usual constants of physics, the unit of time is expressed as :

MODERN PUBLICATION-UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS-Multiple Choice Questions (Level-II)
  1. If w,x,y and z are mass, length, time and current respectively, then (...

    Text Solution

    |

  2. The volume of a cube in m^(3) is numerically equal to its surface area...

    Text Solution

    |

  3. If the velocity of light c, Planck's constant h and gravitation consta...

    Text Solution

    |

  4. If force =(X)/(density)+C is dimensionally correct, the dimensions of ...

    Text Solution

    |

  5. The length l, breadth b and thickness t of a block of wood were measur...

    Text Solution

    |

  6. The density of a cube is measured by measuring mass and the length of ...

    Text Solution

    |

  7. If the error in the measurement of momentum of a particle is (+100%), ...

    Text Solution

    |

  8. In the integral int(dx)/(2ax-x^(2))^(1//2)=ansin^(-1)((x)/(a)-1), the ...

    Text Solution

    |

  9. If C is the restoring couple per unit radian twist and I is the moment...

    Text Solution

    |

  10. A vernier calliper has 20 divisions on the vernier scale, which coinci...

    Text Solution

    |

  11. The heat generated in a circuit is given by Q=I^(2)Rt, where I is curr...

    Text Solution

    |

  12. The dimensions of the quantities in one of the following pairs are the...

    Text Solution

    |

  13. Which of the following is the SI unit of poynting vector ?

    Text Solution

    |

  14. If x=(epsilon(0)lV)/(t) where epsilon(0) is permittivity of free space...

    Text Solution

    |

  15. The physical quantities not having same dimensions are :

    Text Solution

    |

  16. A cube has a side of length 1*2xx10^(-2)m.

    Text Solution

    |

  17. In the relation P=(alpha)/(beta)e^(-alpha z//ktheta) where {:(P="pre...

    Text Solution

    |

  18. A wire has mass m=0.3+-0*003g, radius r=0*5+-0*005mm and length l=6+-0...

    Text Solution

    |

  19. The dimensions of magnetic field in M,LC ( Coulomb) are given by :

    Text Solution

    |

  20. In an experiment the angle are required to be measured using an instru...

    Text Solution

    |