Home
Class 12
PHYSICS
Why is the dimension of one fundamental ...

Why is the dimension of one fundamental (base) quantity interms of any other fundamental (base) quantity is always zero.

Text Solution

AI Generated Solution

To understand why the dimension of one fundamental (base) quantity in terms of any other fundamental (base) quantity is always zero, we can break down the explanation into clear steps: ### Step-by-Step Solution: 1. **Definition of Fundamental Quantities**: - Fundamental quantities are the basic physical quantities that cannot be expressed in terms of other quantities. Examples include mass (M), length (L), time (T), electric current (I), temperature (Θ), amount of substance (N), and luminous intensity (J). 2. **Independence of Fundamental Quantities**: ...
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise NUMERICAL EXERCISE (LEVEL-1)|17 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise NUMERICAL EXERCISE (LEVEL-2)|21 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise SHORT ANSWER TYPE QUESTIONS|16 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

A fundamental physical quantity

Name the three fundamental quantities.

Name Any four fundamental physical quantities.

Is there any limit for the number of fundamental (base) quantities? What are supplementary fundamental quantities ? What are their units?

Define the S.I. unit of three fundamental quantities.

Choose the wrong statement. Option 1 All quantities may be represented dimensionally in terms of the base quantities Option 2 A base quantity cannot be represented in terms of the rest of the base quantity Option 3 The dimension of a base quantity in other base quantities is always zero Option 4 The dimension of a derived quantities is never seen in any base quantity

Which one of the following is not a fundamental quantity ?

Name any four fundamental quantities and their SI units.

what are Fundamental and derived quantities ?

Assertion : All derived quantities may be represented dimensionally in terms of the base quantities. Reason : The dimensions of a base quantity in other base quantities are always zero.

AAKASH SERIES-UNITS AND MEASUREMENTS-VERY SHORT ANSWER TYPE QUESTIONS
  1. As far as mechanics is concerned all systems of units are having the s...

    Text Solution

    |

  2. If two quantities have same dimensions, do they represent same physica...

    Text Solution

    |

  3. Two physical quantities are having the same dimensions. Should their u...

    Text Solution

    |

  4. Why is the dimension of one fundamental (base) quantity interms of any...

    Text Solution

    |

  5. Assertion: A dimensinoally wrong or inconsistent equation must be wron...

    Text Solution

    |

  6. State about the correctness or otherwise of the following two statemen...

    Text Solution

    |

  7. Can we derive the kinematic relations V= u+ at , S = ut = 1/2 at^2 and...

    Text Solution

    |

  8. What is an error? What are constant errors?

    Text Solution

    |

  9. What is the convenience in using SI?

    Text Solution

    |

  10. Is dimensional analysis applicable to only SI ?

    Text Solution

    |

  11. What is meant by Unit? What is the importance of a unit?

    Text Solution

    |

  12. Define a coherent system of units.

    Text Solution

    |

  13. Name two coherent systems of units.

    Text Solution

    |

  14. What are the fundamental quantities and supplementary quantities is S....

    Text Solution

    |

  15. Define elementary physical quantities .

    Text Solution

    |

  16. What are the fundamental quantities and supplementary quantities is S....

    Text Solution

    |

  17. Define a compounded physical quantity .

    Text Solution

    |

  18. What is the importance of measurement?

    Text Solution

    |

  19. What are the derived units?

    Text Solution

    |

  20. What is meant by the principle of homogeneity of dimensions?

    Text Solution

    |