Home
Class 12
PHYSICS
A physical quantity is given by X=["M"^(...

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,betaandgamma`, respectively. Then, the maximum % error in the quantity `X` is

A

`a alpha+b beta+c gamma`

B

`a alpha+b beta-c gamma`

C

`(a)/(alpha)+(b)/(beta)-(C )/(gamma)`

D

None of these

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

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 physical quantity is represented by X=M^(a)L^(b)T^(-c) .If the percentage error in the measurement of M,L and T are alpha%, beta% and gamma% to respectively, what is the total percentage error in X?

A Physical quantity P is given by P= (A^2sqrtB)/C , and the percentage errors in the measurements of A, B and C are 1% , 2 % and 4% respectively. Find the percentage error in P.

Percentage errors in measurement of mass and speed are 1% and 2.5% respectively. The maximum percentage error in the calculation of linear momentum will be

A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z) . The maximum percantage errors in the measurement of M , L , and T , respectively , are a% , b% and c% . The maximum percentage error in the measurement of X will be

A physical quantity A is dependent on other four physical quantities p,q,r and s as given by A=(sqrt(pq))/(r^(2)s^(3)) . The percentage error of measurement in p,q,r and s are 1%,3%,0.5% and 0.33% respectively, then the maximum percentage error in A is

The percentage error in the measurement of mass and speed are 2% and 3% respectively. Maximum estimate of percentage error of K.E

A physical quantity X is give by the relation X = (2h^(3)I^(2))/(2sqrt(n)) The percentage error in the meansurement of k ,I,m and n are 1% ,2%, 3% and 4% respectively The value of X is uncertain by

The percentage error in measurements of length and time period is 2% and 1% respectively . The percentage error in measurements of 'g' is

VMC MODULES ENGLISH-UNITS, MEASUREMENTS & ERRORS-Impeccable
  1. The dimensions of universal gravitational constant are

    Text Solution

    |

  2. If the length of rod A is 3.25 pm 0.01 cm and that of B is 4.19 pm 0.0...

    Text Solution

    |

  3. A physical quantity is given by X=["M"^(a)"L"^(b)"T"^(c)]. The percent...

    Text Solution

    |

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

    Text Solution

    |

  5. Dimensions of resistance in an electrical circuit, in terms of dimensi...

    Text Solution

    |

  6. A wire has a mass (0.3+-0.003)g, radius (0.5+-0.005)mm and length (6+-...

    Text Solution

    |

  7. The length, breadth and thickness of a block are given by l = 12 cm, b...

    Text Solution

    |

  8. The ratio of the dimensions of Planck's constant and that of the momen...

    Text Solution

    |

  9. If the error in the measurement of radius of a sphere is 2%, then the ...

    Text Solution

    |

  10. Which two of the following five physical paramenters have the same dim...

    Text Solution

    |

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

    Text Solution

    |

  12. if p represents radiation pressure, c represent speed of light and Q r...

    Text Solution

    |

  13. Given that the displacement of an oscillating particle is given by y=A...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |