Home
Class 12
PHYSICS
A physical quantity is represented by X=...

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

`(aalpha+b beta-c gamma)%`

B

`(2aalpha+b beta+3c gamma)%`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -2|56 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 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 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 x is calculated from the relation x = ( a^(2) b^(3))/(c sqrt( d)) . If the percentage error in a, b , c , and d are 2% , 1% , 3%, and 4% , respectively , what is the percentage error in x ?

If x= (a)-(b) , then the maximum percentage error in the measurement of x will be

If X = a + b , 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

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.

A physcial quantity X is related to four measurable quantites a, b, c and d as follows : X = a^2 b^3 c^(5//2) d^(-2) The percentage error in the measurement of a, b, c and d are 1% , 2%, 3% and 4%, respectively. What is the percentage error in quantity X ? if the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result ?

A physical quantity X is related to three observable a,b and c as X=(b^(2)sqrt(a))/c . The errors of measuremnts in a,b and c are 4%, 3% and 2% respectively. What is the percentage error in the quality X?

AAKASH SERIES-UNITS AND MEASUREMENTS-EXERCISE -3
  1. Resistance of a given wire is obtained by measuring the current flowin...

    Text Solution

    |

  2. In an experiment the valno of refractive index of glass was found to b...

    Text Solution

    |

  3. A physical quantity is represented by X=M^(a)L^(b)T^(-c).If the percen...

    Text Solution

    |

  4. In a simple pendulum experiment, length is measured as 31.4 cm with an...

    Text Solution

    |

  5. Figure shows two capacitors of capacitance 2muF and 4muF and a cell of...

    Text Solution

    |

  6. In an experiment the valno of refractive index of glass was found to b...

    Text Solution

    |

  7. A rectangular metal slab of mass 33.333 g has its length 8.0 cm, bread...

    Text Solution

    |

  8. The distance covered by a body in time (30.0 pm 0.4)m is (6.0pm 0.6)s....

    Text Solution

    |

  9. The measured mass and volume of a body are 53.63 g and 5.8 cm^(3) resp...

    Text Solution

    |

  10. A student performs an experiment for determination of g = (4pi^(2)l)/(...

    Text Solution

    |

  11. An experiment is performed to obtain the value of acceleration due to ...

    Text Solution

    |

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

    Text Solution

    |

  13. A physical quantity P is related to four observably a,b,c and d as fol...

    Text Solution

    |

  14. The radius of a sphere is 6.01 cm. Its volume to four significant figu...

    Text Solution

    |

  15. The length of a rod is 22.4 m out of it 2.543m is cut out. The remaini...

    Text Solution

    |

  16. The value of 117.4 xx 0.0025 is

    Text Solution

    |

  17. The sum of the given two numbers with regard to significant figures is...

    Text Solution

    |

  18. Find the product of 1.2, 2.54 and 3.257 with due regard to significant...

    Text Solution

    |

  19. A stick has a length of 12.132 cm and another stick has a length of 12...

    Text Solution

    |

  20. The length of a rectangular sheet is 1.5 cm and breadth is 1.023 cm ....

    Text Solution

    |