Home
Class 12
PHYSICS
A physical quantity is given by X=M^(a)L...

A physical quantity is given by `X=M^(a)L^(b)T^(c)`. The percentage error in measurement of `M,L` and `T` are `alpha, beta` and `gamma` respectively. Then maximum percentage error in the quantity `X` is

A

`(alpha a + beta b + gamma c)%`

B

`(alpha a - beta b + gamma c)%`

C

`(alpha a - beta b - gamma c) %`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 2 (Objective Problems )|25 Videos

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 3 ( Section-A Previous Year Problems )|29 Videos

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 1 (Objective Problems) (SECTION - C : Basic Maths )|21 Videos

  • UNIT & DIMENSIONS

    MOTION|Exercise Exercise - 4 (Level - II) (PREVIOUS YEAR JEE ADVANCED)|10 Videos

  • VECTOR

    MOTION|Exercise Exercise - 3|18 Videos
MOTION-UNITS AND DIMENSIONS, BASIC MATHEMATICS -Exercise - 1 (Objective Problems) (SECTION - D :- ERRORS )
  1. A physical quantity is given by X=M^(a)L^(b)T^(c). The percentage erro...

    Text Solution

    |

  2. An experiment measures quantities a, b and c and X is calculated from ...

    Text Solution

    |

  3. Zero error of an instrument introduces

    Text Solution

    |

  4. What is the fractional error in g calculated from T = 2 pi sqrt((l)/(g...

    Text Solution

    |

  5. A thin copper wire of length l metre increases in length by 2% when he...

    Text Solution

    |

  6. The period of oscillation of a simple pendulum in the experiment is re...

    Text Solution

    |

  7. The resistance R = V//i, where V = 100 +- 5 V and I = 10+- 0.2 A. What...

    Text Solution

    |

  8. The length, breadth and thickness of a strip are given by l = (10.0 +-...

    Text Solution

    |

  9. If error in measuring diameter of a circle is 4 %, the error in circum...

    Text Solution

    |

  10. The external and internal diameters of a hollow cylinder are measured ...

    Text Solution

    |

  11. Percentage error in measuring the radius and mass of a solid sphere a...

    Text Solution

    |

  12. In a vernier callipers, N divisions of vernier scale coincide with (N-...

    Text Solution

    |

  13. The length of a cylinder is measured with a meter rod having least cou...

    Text Solution

    |

  14. A vernier callipers has 20 divisions on the vernier scale which coinci...

    Text Solution

    |

  15. The heat generated in a cirucit is dependent upon the resstance, curre...

    Text Solution

    |

  16. The percentage errors in the measurement of mass and speed are 2% and ...

    Text Solution

    |

  17. One centimetre on the main scale of vernier callipers is divided into ...

    Text Solution

    |

  18. While measuring acceleration due to gravity by simpe pendulum a studen...

    Text Solution

    |

  19. A student measured the diameter of a wire using a screw gauge with lea...

    Text Solution

    |