Home
Class 12
PHYSICS
A Physical quantity P is given by P=(A^2...

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.

Text Solution

Verified by Experts

`(DeltaP)/Pxx100=2((DeltaA)/Axx100)+1/2((DeltaB)/Bxx100)+((DeltaC)/Cxx100)` or `7%`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION A Objective (One option is correct )|50 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION B Objective (One option is correct )|45 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D)|15 Videos
  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos
  • WAVE OPTICS

    AAKASH INSTITUTE|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos

Similar Questions

Explore conceptually related problems

A physical quantity X is given by X=(2k^(3)l^(2))/(msqrt(n)) The percentage error in the measurement of K,l,m and n are 1%,2%, 3% and 4% respectively. The value of X is uncertain by

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.

A physical quantity y is given by y=(P^2Q^(3//2))/(R^4S^(1//2)) The percentage error in A,B , C and D are 1%,2%, 4% and 2% respectively. Find the percentage error in y.

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 P is related to four observables a, b, c and d as P=a^(3)b^(2)//sqrtcd . The percentage errors in the measurements of a, b, c and d are 1%, 3% 4% and 2% respectively. What is the percentage error in the quantity P? If the value of P calculated using this formula turns out to be 3.763 , to what value should you round off the result?

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

A physical quantity P = a^3b^2/cd . If the percentageerrors in the measurement of a, b, c and d are 1%, 2%, 3% and 4% then the percentage error in P______.

In the measurement of a physical quantity x =(A sqrt(B))/(C^(2)) .The percentage error in measurement of the quantities A,B,C are 1%,2% and 2% respectively.Then the maximum possible percentage error in x is % .

A physical quantitiy X is related to four measurable quantities, a,b,c and d as give 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%,2% and 4% respectively. What is the percentage error in quantitiy 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 ?

AAKASH INSTITUTE-UNITS AND MEASUREMENTS-Try Yourself
  1. The voltage across a lamp is (6.0 +- 0.1) V and the current passing th...

    Text Solution

    |

  2. The measured mass and volume of a body are 2.00 g and 5.0 cm^(3) respe...

    Text Solution

    |

  3. A Physical quantity P is given by P=(A^2sqrtB)/C, and the percentage e...

    Text Solution

    |

  4. For two resistors R1 and R2, connected in parallel, find the relative ...

    Text Solution

    |

  5. How many significant figures are there in the value 250xx10^10 m?

    Text Solution

    |

  6. How many zeroes are significant in the following measured values? (i...

    Text Solution

    |

  7. A force of 8.26 N is applied normally over an area of 4.2 m^2. Calcula...

    Text Solution

    |

  8. The voltage across a lamp is 6.82 V when the current passing through i...

    Text Solution

    |

  9. Each side of a cube is measured to be 7.241 m. Find its total surface ...

    Text Solution

    |

  10. A substance weight 5.74 g occupies a volume of 1.2cm^3. Caluclate its ...

    Text Solution

    |

  11. Round off the number 970.02 to one decimal place.

    Text Solution

    |

  12. Two sticks of lengths 12.132 cm and 10.2 cm are placed end to end. Fin...

    Text Solution

    |

  13. Find the dimensions for electric power.

    Text Solution

    |

  14. Dimensions of relative density is

    Text Solution

    |

  15. Check the dimensional consistency of the equation, force = "(Change in...

    Text Solution

    |

  16. Check the dimensional correctness of the following relation. Volume...

    Text Solution

    |

  17. Total mechanical energy E of an object of mass m, at a height h above ...

    Text Solution

    |

  18. The time period Of oscillation of a simple pendulum depends on the fol...

    Text Solution

    |

  19. How are the wavelength and frequency of a sound wave related to its sp...

    Text Solution

    |

  20. Pick up the dimensionless quantities among the following: (i) Power...

    Text Solution

    |