Home
Class 12
PHYSICS
Planck 's constant (h) speed of length i...

Planck 's constant (h) speed of length in vaccum (C) and newton 's gravitational constant (G) are three fundamental constant .Which of the following combinations of these has the dimension of length?

A

`(sqrt(hG))/(c^(3//2))`

B

`(sqrt(hG))/(c^(5//2))`

C

`sqrt((hG)/(G))`

D

`sqrt((Gc)/(h^(3//2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise Illustration|24 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise Efficient|50 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos
  • WAVE MOTION

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE LEVEL 2 (TRUE FALSE TYPE)|4 Videos

Similar Questions

Explore conceptually related problems

If Planck's constant (h) and speed of light in vacuum (c ) are taken as two fundamental quantites, which on of the following can, in addition, be taken to express length, mass and time in terms of the three chosen fundamental quantities ?

Planck's constant has dimensions …………….

Planck's constant has dimensions …………….

Planck constant has the same dimensions as

Planck's constant h , speed of light c and gravitational constant G are used to form a unit of length L and a unit of mass M . Then the correct option (s) is (are)

If velocity of light c, planck's constant h and gravitational constnat G are taken as fundamental quantities then the dimensions of the length will be

Which of the following statements about the gravitational constant is true ?

If velocity of light c, Planck's constant h ,Gravitational constant G are taken as fundamental quantites, then express mass, length and time in terms of dimensions of these quantites.

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

The characteristic distance at which quantum gravitational effect are significant the planck length can be determined form a suitable combination of the fundamental physical constant G h and c which of the followng correctly gives the planck length ?

VMC MODULES ENGLISH-UNITS, MEASUREMENTS & ERRORS-Impeccable
  1. A student measures the distance traversed in free fall of a body, init...

    Text Solution

    |

  2. Unit of electromotive force is

    Text Solution

    |

  3. Choose the incorrect statement out of the following :-

    Text Solution

    |

  4. If E, M, L and G denote energy, mass, angular momentum and gravitation...

    Text Solution

    |

  5. The dimensions of the formula of capacitance are

    Text Solution

    |

  6. From the dimensional consideration, which of the following equations i...

    Text Solution

    |

  7. In the relation: P=(alpha)/(beta)e^(-(alphaZ)/(ktheta)),P is pressure ...

    Text Solution

    |

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

    Text Solution

    |

  9. Velocity v is given by v=at^(2)+bt+c, where t is time. What are the di...

    Text Solution

    |

  10. The density of material in CGS system of mass is 4g cm^(3) in a system...

    Text Solution

    |

  11. Surface tension has the same dimensions as that of

    Text Solution

    |

  12. The dimensions of (mu(0)epsilon(0))^(-1//2) are

    Text Solution

    |

  13. A stone is dropped from a height h. It hits the ground with a certain...

    Text Solution

    |

  14. If the momentum of an electron is changed by p, then the de Broglie wa...

    Text Solution

    |

  15. In an experiment, four quantities a,b,c and d are measured with percen...

    Text Solution

    |

  16. If force (F), velocity (v) and time (T) are taken as fundamental units...

    Text Solution

    |

  17. If energy (E), velocity (v) and time (T) are chosen as the fundamental...

    Text Solution

    |

  18. In dimension of critical velocity v(c) liquid following through a take...

    Text Solution

    |

  19. Planck 's constant (h) speed of length in vaccum (C) and newton 's gr...

    Text Solution

    |

  20. In an experiment, the percentage of error occurred in the in the measu...

    Text Solution

    |