Home
Class 12
PHYSICS
Using mass (M) , length (L) , time (T) ,...

Using mass `(M)` , length `(L)` , time `(T)` , and electric current `(A)` as fundamental quantities , the dimensions of permitivity will be

A

`[M^(-1)LT^(-2)A]`

B

`[ML^(-2)T^(-2)A^(-1)]`

C

`[MLT^(-2)A^(-2)]`

D

`[MLT^(-1)A^(-1)]`

Text Solution

Verified by Experts

Units of permeability are equivalent to `N/(Amp)^(2)` thus dimensions are `=(M^(1)L^(1)T^(-2))/(A^(2))=M^(1)L^(1)T^(-2)A^(-2)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Using mass (M), length (L), time (T) and current (A) as fundamental quantities, the dimension of permittivity is:

Using mass (M), length (L), time (T) and current (A) as fundamental quantities, the dimensions of permeability are :

Using mass (M), "length"(L) , time (T) and current (A) as fundamental quantites the demension of permeability is

If force F, time T and length L are used as fundamental quantities then dimensional formula for density will be

If force F, Length L and time T are chosen as fundamental quantities , the dimensioal formula for mass is

If mass (M), length (L) and force (F) are considered as fundamental quantities then, find the dimensional formula for time

If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be:

Taking velocity , time and force as the fundamental quantities , find the dimension of mass .

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

ALLEN-BASIC MATHS-EXERCISE-1
  1. Which of the following represents the dimensions of Farad

    Text Solution

    |

  2. The dimension of torque is:

    Text Solution

    |

  3. Using mass (M) , length (L) , time (T) , and electric current (A) as f...

    Text Solution

    |

  4. Dimensions of relative density is

    Text Solution

    |

  5. The dimensional formula for magnetic flux is

    Text Solution

    |

  6. The dimensions of universal gravitational constant are :-

    Text Solution

    |

  7. The van der Waal's equation of state for some gases can be expressed a...

    Text Solution

    |

  8. Which does not has the same unit as others

    Text Solution

    |

  9. Refractive index mu is given as mu=A+B/lambda^2, where A and B are con...

    Text Solution

    |

  10. Parsec' is the unit of :

    Text Solution

    |

  11. The ratio of the dimension of Planck's constant and that of moment of ...

    Text Solution

    |

  12. The unit of entropy is

    Text Solution

    |

  13. The dimensional formula for Planck's constant h and gravitational cons...

    Text Solution

    |

  14. The magnetic moment has dimensions of

    Text Solution

    |

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

    Text Solution

    |

  16. Dimension of electrical resistance is :-

    Text Solution

    |

  17. Which two of the following five physical paremeters have the same dime...

    Text Solution

    |

  18. Two quantities A and B have different dimensions. Which mathematical o...

    Text Solution

    |

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

    Text Solution

    |

  20. If E , M , J , and G , respectively , denote energy , mass , angular m...

    Text Solution

    |