Home
Class 11
PHYSICS
A physical quantity P is related to four...

A physical quantity P is related to four observables a,b,c and d as follows:
`P = a^(3)b^(2)/(sqrtcd)`
The percentage errors of measurement in 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 the above relation turns out to be 3.763, to what value should you round off the result ?

Text Solution

Verified by Experts

13%, 3.8
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    NCERT GUJARATI|Exercise EXERCISE (ADDITIONAL EXERCISE)|9 Videos
  • UNITS AND MEASUREMENT

    NCERT GUJARATI|Exercise Exercise (Fill in the blanks)|8 Videos
  • THERMODYNAMICS

    NCERT GUJARATI|Exercise EXERCISES|10 Videos
  • WAVES

    NCERT GUJARATI|Exercise Exercises|27 Videos

Similar Questions

Explore conceptually related problems

A physical quantity X is related to four measurable quantities a, b, c and d as follows X=a^(2)b^(3)c^((5)/(2))d^(-2) . The percentange 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.

If the formula for a physical quantity is W=(a^(4)b^(3))/(c^(2)sqrt(d)) and if percentage errors in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. Find the percentage error in W.

Formula W=(a^(4)b^(3))/(c^(1)/(3) sqrt(d)) and if percentage error in the measurement of a, b, c d are 2%, 1%, 6% and 4% respectively, then calculate the percentage error in W.

If the percentage errors of A,B,and C are a, b, and c, respectively ,then the total percentage error in the product ABC is

A physical quantity X is give by the relation X = (2k^(3)l^(2))/(msqrt(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

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

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

A physical quantity x is calculated from the relation x = a^(3)b^(2)//sqrt(cd) . Calculate percentage error in x, if a, b, c and d are measured respectively with an error of 1 %, 3 %, 4% and 2%.

The resistance R of a wire is given by the relation R= (rhol)/( pir^(2)) . Percentage error in the measurement of rho, l and r is 1 % , 2% and 3% respectively. Then the percentage error in the measurement of R is

The percentage errors in the measurement of mass and speed are 2% and 3% , respectively . How much will be the maximum error in the estimation of KE obtained by measuring mass and speed?

NCERT GUJARATI-UNITS AND MEASUREMENT-EXERCISE
  1. A screw gauge has a pitch of 1.0mm and 200 divisions on the circular s...

    Text Solution

    |

  2. The mean diameter of a thin brass rod is to be measured by vernier cal...

    Text Solution

    |

  3. The photograph of a house occupies an area of 1.75 cm^(2) on a 35 mm s...

    Text Solution

    |

  4. State the number of significant 0.007 m^(2)

    Text Solution

    |

  5. State the number of significant 2.64xx10^(24) kg

    Text Solution

    |

  6. State the number of significant 0.2370 g cm^(-3)

    Text Solution

    |

  7. The length , breadth and thickness of a rectangular sheet of metal are...

    Text Solution

    |

  8. The mass of a box measured by a grocer's balance is 2.30 kg. Two gold ...

    Text Solution

    |

  9. A physical quantity P is related to four observables a,b,c and d as fo...

    Text Solution

    |

  10. A book with many printing errors contains four different formulas for ...

    Text Solution

    |

  11. A famous relation in physics relates 'moving mass' m to the 'rest mass...

    Text Solution

    |

  12. The unit of length conventent on the atomic scale is known as an angs...

    Text Solution

    |

  13. One mole of an ideal gas at standard temperature and pressure occupies...

    Text Solution

    |

  14. Explain this common observation clearly: If you look out of the window...

    Text Solution

    |

  15. The principle of 'parallax' in section 2.3.1 is used in the determinat...

    Text Solution

    |

  16. The nearest star to our solar system is 4.29 light years away. How muc...

    Text Solution

    |

  17. Precise measurements of physical quantities are a need of science. For...

    Text Solution

    |

  18. Just as precise measurements are necessary in science, it is equally i...

    Text Solution

    |

  19. The Sun is a hot plasma (ionized matter) with its inner core at a temp...

    Text Solution

    |

  20. When the planet Jupiter is at a distance of 824.7 million kilometers f...

    Text Solution

    |