Home
Class 11
PHYSICS
What is dimensional analysis ?...

What is dimensional analysis ?

Text Solution

Verified by Experts

A method of obtaining the solution of certain problems in physics by using dimensional formula is called dimensional analysis.
Uses of Dimensional Analysis :
(a) To obtain the relation between the units of some physical quantity in two different systems of units.
(b) To check the dimensional consistency of an equation connecting different physical quantities.
(c) To derive the equation for a physical quantity in terms of the other (related) physical quantities.
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise SECTION -B (NUMERICALS) (NUMERICAL ROM TEXTUAL ILLUSTRATION)|1 Videos

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise SECTION -B (NUMERICALS) (NUMERICAL FROM TEXTUAL ILLUSTRATION)|16 Videos

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise Section -F (Questions from Module )|20 Videos

  • THERMODYANMICS

    KUMAR PRAKASHAN|Exercise Question Paper|11 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-F (Questions From Module) (Sample questions for preparation of competitive exams)|23 Videos

Similar Questions

Explore conceptually related problems

Which of the following relation cannot be deduced using dimensional analysis ? [the symbols have their usual meanings]

An object is falling freely under the gravitational force. Its velocity after travelling a distance his v. If v depends on gravitational accelertation g and distance h, then with the help of dimensional analysis, formula of v is ....... (k is constant)

What is dimensional equation ?

Write limitation of dimensional analysis.

It is known that the time of revolution T of a satellite around the earth depends on the universal gravitational constant G, the mass of the earth M, and the radius of the circular orbit R. Obtain an expression for T using dimensional analysis.

The method of dimensional analysis can be used to derive which of the following relations ?

The method of dimensional analysis can be used to derive which of the following relations ?

A projectile fired at an angle of 45^(@) travels a total distance R, called the range, which depends only on the initial speed v and the acceleration of gravity g. Using dimensional analysis, find how R depends on the speed and on g.

What is dimensional formula ?

Check the accuracy of the relation T=2pisqrt((L)/(g)) for a simple pendulum using dimensional analysis.

KUMAR PRAKASHAN-UNITS AND MEASUREMENT-SECTION -A (QUESTIONS- ANSWERS)
  1. Explain Absolute Error, Relative Error and Percentage Error.

    Text Solution

    |

  2. Write a note on combination of error.

    Text Solution

    |

  3. Explain error of a sum or a difference.

    Text Solution

    |

  4. Write rule for error in result due to multiplication and division

    Text Solution

    |

  5. What is significant number? What is significant digit?

    Text Solution

    |

  6. Write and explain rules of determining significant digit with example.

    Text Solution

    |

  7. Write rules of "Round off" numbers.

    Text Solution

    |

  8. Explain : "By using significant digit we can prevent unnecessary long ...

    Text Solution

    |

  9. What points to be considered during addition.

    Text Solution

    |

  10. What points to be considered during multiplication and division of sig...

    Text Solution

    |

  11. Explain uncertainty or error in given asurement by suitable example.

    Text Solution

    |

  12. What is dimension of a physical quantity ?

    Text Solution

    |

  13. Define dimensional formula and dimensional equation by using sultable ...

    Text Solution

    |

  14. What is dimensional analysis ?

    Text Solution

    |

  15. Obtain the relation between the units of some physical quantity in two...

    Text Solution

    |

  16. Obtain the relation between the MKS and CGS unit of work.

    Text Solution

    |

  17. Write principle of Homogeneity of dimension.

    Text Solution

    |

  18. Check dimensional consistency of given equation.

    Text Solution

    |

  19. Heat produced in a current carrying conducting wire depends on current...

    Text Solution

    |

  20. Write limitation of dimensional analysis.

    Text Solution

    |