Home
Class 12
PHYSICS
In an experiment four quantities a,b,c a...

In an experiment four quantities a,b,c and d are measure with percentage error `1% , 2% , 3%`,and `4%` respectively quantity is P is calculate as follow
`P = (a^(3)b^(2))/(cd) %` error in `P` is

A

0.04

B

0.14

C

0.1

D

0.07

Text Solution

Verified by Experts

`P=(a^(3)b^(2))/(cd)rArr(Deltap)/(P)=+-(3(Delta)/(a)+2(Deltab)/(b)+(Deltac)/(c)+(Deltad)/(d))`
`=+-(3xx1+2xx2+3+4)`
`=+-14%`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If percentage error in a, b, c, d are 1% 2% 3% and 4% respectively. What will be the percentage error in X= (a^(1//3)b^4)/(cd^(2//3))

An experiment measures quantities a, b and c and X is calculated from X= ab^(2)//c^(3) . If the percentage error in a, b and c are pm 1%, pm 3% and pm 2% respectively, the percentage error in X will be-

A physical quantity P = (sqrt(abc^2) )/(d^3 e^(1//3) ) is determined by measuring a,b,c,d and e separately with the percentage error of 2%, 3% , 2%, 1% and 6% respectively. Minimum amount of error is contributed by the measurement of :

An experiment measure quantities x,y,z and then t is in calculate from the data as t = (xy^(2))/(z^(2)) if percentage error in x,y,z and are respectively 1% ,3%,2% then percentage error in t is

If P=a^2*b^3*c*d^1/2 and the percentage error in a,b,c and d are 1%,2%,3% and 4% respectively.Find percentage error in P.

If X=(a^(3)b^(2))/(sqrt(c)d) and percentage errors in a, b, c and d are 1%, 2%, 4% and 4% respectively, then the error in X will be

If X=(a^(3)b^(2))/(sqrt(c)d) and percentage errors in a, b, c and d are 1%, 2%, 4% and 4% respectively, then the error in X will be

An experiment measures quantites a, b, c and X is calculated from the formula X = (ab^(2))/(c^(3)) If the percentage errors in a,b,c are +- 1%, +- 3%, +- 2% respectively, the perentage error in X can be

An experiment measures quantities a , b , c and x the value of x is calculated from x=ab//c^(3) . If the maximum percentage error in a , b and c are 1% , 1% and 2% respectively, then

ALLEN-BASIC MATHS-EXERCISE-1
  1. Dimensional formula of DeltaQ, heat supplied to the system is given by...

    Text Solution

    |

  2. Dimension of (1)/(mu(0)epsilon(0)), where symbols have usual meaning, ...

    Text Solution

    |

  3. The dimension of the quantity vecExxvecB, where vecE represents the el...

    Text Solution

    |

  4. Write the dimensional formula of angular momentum. Is it scale or vect...

    Text Solution

    |

  5. If a set of defective weights are used by a student to find the mass o...

    Text Solution

    |

  6. A physical quantity rho is calculated by using the formula rho =(1)/(1...

    Text Solution

    |

  7. The pressure on a square plate is measured by measureing the force on ...

    Text Solution

    |

  8. The error in measuring the side of a cube is +- 1%. The error in the c...

    Text Solution

    |

  9. When a copper sphere is heated, maximum percentage change will be obse...

    Text Solution

    |

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

    Text Solution

    |

  11. The resistance R of a wire is given by the relation R= (rhol)/( pir^(2...

    Text Solution

    |

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

    Text Solution

    |

  13. If the error in the measurement of radius of a sphere in 2% then the e...

    Text Solution

    |

  14. In a vernier callipers, one main scale division is x cm and n division...

    Text Solution

    |

  15. Choose the incorrect statement out of the following :-

    Text Solution

    |

  16. A student measures that distance traversed in free fall of a body, ini...

    Text Solution

    |

  17. Which of the following has the highest number of significant figures ?

    Text Solution

    |

  18. If voltage across a bulb rated 220 volt-100 watt drops by 2.5 % of its...

    Text Solution

    |

  19. A physical quantity X is give by the relation X = (2h^(3)I^(2))/(2sqrt...

    Text Solution

    |

  20. In an experiment four quantities a,b,c and d are measure with percenta...

    Text Solution

    |