Home
Class 12
PHYSICS
An experiment measures quantities a, b, ...

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

A

the error in `x` may be zero

B

for any particular reading, error in `x` may `10%`

C

maximum percentage error in `x` is `-4%`

D

maximum percentage error in `x` is `8%`

Text Solution

Verified by Experts

`|(Deltax)/(x)|=|(Deltaa)/(a)|+|(Deltab)/(b)|+3|(Deltac)/(c )|`
Promotional Banner

Topper's Solved these Questions

  • GMP ASSESMENT

    FIITJEE|Exercise Assertion & Reason|15 Videos
  • GMP ASSESMENT

    FIITJEE|Exercise Multiple Question|58 Videos
  • GMP ASSESMENT

    FIITJEE|Exercise Numerical Based|61 Videos
  • GENERAL PHYSICS

    FIITJEE|Exercise MATRIX MATCH TYPE|3 Videos
  • GRAVITATION

    FIITJEE|Exercise Numerical based Question|2 Videos

Similar Questions

Explore conceptually related problems

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-

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

In an experiment, we measure the quantities a, b, c and then calculate x by using the formula x=ab^(3)//c^(2) . The percentage errors in a, b, c are pm1%,pm3%andpm2% respectively. What is the percentage error in x?

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

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.

An experiment from X = (a^(1//2) b^(2))/( c^(3)) . If the percentage errors in a, b , and c are +- 1% , +- 3% , and +- 2% , respectively , then the percentage error in X can be

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

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 ?

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 ?

FIITJEE-GMP ASSESMENT-Objective problems
  1. If the radiation of Mo (Z = 42) has a wevelength of 0.71Å, calculate w...

    Text Solution

    |

  2. A beam of electron accelerated by a large potential difference V is ...

    Text Solution

    |

  3. An experiment measures quantities a, b, c and x the value of x is calc...

    Text Solution

    |

  4. A wire of length l = +- 0.06cm and radius r =0.5+-0.005 cm and mass m ...

    Text Solution

    |

  5. A student performs an experiment for determination of g [ = ( 4 pi^(2...

    Text Solution

    |

  6. Which of the following does not have the same dimension ?

    Text Solution

    |

  7. Two uniform solid cylinders A and B each of mass 1 kg are connected by...

    Text Solution

    |

  8. A person wants to drive on the vertical suirface of a large cylindrica...

    Text Solution

    |

  9. A force vecF=(3xy-5z)hatj+4zhatk is applied on a particle. The work do...

    Text Solution

    |

  10. Velocity of a body of mass 2kg moving in x-y plane is given by vecv=(2...

    Text Solution

    |

  11. velocity of a body of mass 2kg moving in x-y plane is given by vecv=(2...

    Text Solution

    |

  12. A block of mass sqrt(3)//10kg is placed on a rough horizontal surface ...

    Text Solution

    |

  13. Consider an infinite matrix of capacitors as shown in the figure. Th...

    Text Solution

    |

  14. Consider the circuit shown in the figure. Taking the potential to be z...

    Text Solution

    |

  15. A certain amount of a diatomic gas undergoes a certain polytropic proc...

    Text Solution

    |

  16. The figure shown the cross section of a long cylindrical conductor thr...

    Text Solution

    |

  17. A circular conducting loop of radius R carries a current I. Another st...

    Text Solution

    |

  18. Two parallel-plate capacitors with different distances between the pla...

    Text Solution

    |

  19. An RC circuit is made using five identical capacitors, each of which c...

    Text Solution

    |

  20. A sonometer wire has a length of 114 cm between its two fixed ends. Wh...

    Text Solution

    |