Home
Class 12
PHYSICS
The length and breadth of a rectangular ...

The length and breadth of a rectangular object are 25.2 cm and 16.8 cm respectively and have been measured to an accuracy of 0.1 cm. Find the relative error and percentage error in the area of the object.

Text Solution

AI Generated Solution

To solve the problem, we need to calculate the area of the rectangular object and then determine the relative error and percentage error in that area based on the given measurements and their accuracies. ### Step 1: Calculate the area of the rectangle The area \( A \) of a rectangle is given by the formula: \[ A = L \times B \] where \( L \) is the length and \( B \) is the breadth. ...
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise EXERCISE - I|156 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise EXERCISE - II|61 Videos
  • SEMICONDUCTOR DEVICES

    AAKASH SERIES|Exercise EXERCISE - III|3 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -3|66 Videos

Similar Questions

Explore conceptually related problems

The length the breath of a rectangular object are 25 cm and 10 cm respectively and were measured to an accuracy of 0.1 cm . The percentage error in area is

The length and breadth of a rectangular are 25 cm and 10 cm respectively and were measured to an accuracy of 0.1 cm. The percentage error in area is

Length and breadth of a rectangular table-top are 36 cm and 24 cm respectively. Find its perimeter

One side of a square is measured as 16.7 cm to an accuracy of 0.1 cm. What is the percentage error in area?

The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

The length and breadth of a plate are (6 pm 0.1) cm and (4 pm 0.2)cm respectively. The area of the plate is

Find the area of a rectangle of length 3.2 cm and breadth 2.8 cm.

The length and breadth of a rectangular plate are measured to be 14.5 cm and 4.2cm respectively. Find its area to appropriate significant figures.

AAKASH SERIES-UNITS AND MEASUREMENT-PRACTICE EXERCISE
  1. The length and breadth of a rectangular object are 25.2 cm and 16.8 cm...

    Text Solution

    |

  2. The ratio of S.I unit of the C.G.S unit of gravitational constant 'G' ...

    Text Solution

    |

  3. If units in two systems of measurments are in the ratio 2 : 3, the rat...

    Text Solution

    |

  4. If the unit of length is 4 m and that of velocity is 6 ms^(-1) , the u...

    Text Solution

    |

  5. If the unit of force is 1N, the unit of work done is 10 J and the unit...

    Text Solution

    |

  6. If the unit of length , mass and time each be doubled , the unit of wo...

    Text Solution

    |

  7. A new unit of length is chosen such that the speed of light is vacuum ...

    Text Solution

    |

  8. In planetary motion the areal velocity of position vector of a planet ...

    Text Solution

    |

  9. If pressure P, velocity V and Time T are taken as fundamental physical...

    Text Solution

    |

  10. The reverberation period T of a room on its volume V, its surface area...

    Text Solution

    |

  11. If the vibration frequency of atoms in a crystaal depends on the atomi...

    Text Solution

    |

  12. The time period of a soap bubble is T which depneds on pressure p dens...

    Text Solution

    |

  13. The method of dimensional analysis can be used to derive which of the ...

    Text Solution

    |

  14. If the velocity is represented by V, force by F and work by W . These ...

    Text Solution

    |

  15. If C the velocity of light, h planck's constant and G Gravitational co...

    Text Solution

    |

  16. If m is the mass of drop of a liquid of radius 'r' then (mg)/(pi r) ha...

    Text Solution

    |

  17. The dimensionally correct formula is

    Text Solution

    |

  18. The expression S = a/b (1 - e^(-bt)) is dimensionally true. The dimens...

    Text Solution

    |

  19. According to Bernoullis theoram p/d + (v^2)/2 + gh = constant, dimensi...

    Text Solution

    |

  20. If R is the electric resistance and C is the capacitance, the dimensio...

    Text Solution

    |

  21. Velocity of sound in a medium is given by A^(1//2) d^(-1//2), where 'd...

    Text Solution

    |