Home
Class 12
PHYSICS
the speed of light c, gravitational cons...

the speed of light c, gravitational constant G, and Planck’s constant h are taken as the fundamental units in a system. The dimension of time in this new system should be,

A

`[G^(1//2)h^(1//2)c^(-5//2)]`

B

`[G^(-1//2)h^(1//2)c^(1//2)]`

C

`[G^(1//2)h^(1//2)c^(-3//2)]`

D

`[G^(1//2)h^(1//2)c^(1//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 the velocity of light (c ) , gravitational constant (G) , and Planck's constant (h) are chosen as fundamental units , then find the dimensions of mass in new system.

If the velocity of light (c ) , gravitational constant (G) , and Planck's constant (h) are chosen as fundamental units , then find the dimensions of mass in new system.

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

If force, length and time are taken as fundamental units, then the dimensions of mass will be

What are the fundamental units in S.I. system ? Name them along with their symbols.

If C the velocity of light, h planck's constant and G Gravitational constant are taken as fundamental quantities, then the dimensional formula of mass is

If speed of light c, accleratio due to gravity g and pressure p are taken as fundamental units, the dimension of gravitational constant (G) are

If Surface tension (S), Moment of Inertia (I) and Planck’s constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be :

If force F , acceleration a, and time T are taken as the fundamental physical quantities , the dimensions of length on this systemof units are

If force (F) , velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are

VMC MODULES ENGLISH-UNITS, MEASUREMENTS & ERRORS-Impeccable
  1. Given that the displacement of an oscillating particle is given by y=A...

    Text Solution

    |

  2. Dimension of resistance in an elecatrical circuit, in terms of dimensi...

    Text Solution

    |

  3. the speed of light c, gravitational constant G, and Planck’s constant ...

    Text Solution

    |

  4. The physical quantity having the dimensions [M^(-1)L^(-3)T^(3)A^(2)] i...

    Text Solution

    |

  5. Given that T stands for time and l stands for the length of simple pen...

    Text Solution

    |

  6. If the dimension of a physical quantity are given by M^a L^b T^c, then...

    Text Solution

    |

  7. By what percentage should the pressure of a given mass of a gas be inc...

    Text Solution

    |

  8. Percentage erros in the measurement of mass and speed are 2% and 3% re...

    Text Solution

    |

  9. The dimensions of (1)/(2)epsilon(0)E^(2), where epsilon(0) is permitti...

    Text Solution

    |

  10. A student measures the distance traversed in free fall of a body, init...

    Text Solution

    |

  11. Unit of electromotive force is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The dimensions of the formula of capacitance are

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Surface tension has the same dimensions as that of

    Text Solution

    |