Home
Class 11
PHYSICS
Calculate the percentage error in the vo...

Calculate the percentage error in the volume of a cube if error in the measurement of its each side is 12%.

Text Solution

AI Generated Solution

To calculate the percentage error in the volume of a cube when the error in the measurement of each side is 12%, we can follow these steps: ### Step 1: Understand the relationship between volume and side length The volume \( V \) of a cube is given by the formula: \[ V = A^3 \] where \( A \) is the length of one side of the cube. ...
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise COMPETITION FILE (OBJECTIVE TYPE QUESTIONS) (MCQs)|20 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise COMPETITION FILE (OBJECTIVE TYPE QUESTIONS) (MCQs) (AIPMT/NEET OTHER STATE BOARDS FOR MEDICAL ENTRANCE)|37 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise REVISION EXERCISES (LONG ANSWER QUESTIONS)|6 Videos
  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

If the percentage error in the edge of a cube is 1, then error in its volume, is

What is the percentage error in the value of the density of a copper cube, if the errors in the measurement of its mass and the length of one side are 3% and 4% respectively?

What is precentage error in volume of a sphere, when error in measuring its radius is 2% ?

If the error in the measurement of the volume of a sphere is 6% then the error in the measurement of its surface area will be

The percentage error in the measurement of the voltage V is 3% and in the measurement of the current is 2%. The percentage error in the measurement of the resistance is

A piece of ice is in the form of a cube melts so that the percentage error in the edge of cube is a , then find the percentage error in its volume.

What is the maximum percentage error in density of body if percentage error in measurement of mass is 4% , and percentage error in measurement of side 1% ?

The relative error in the measurement of the side of a cube is 0.027 The relative error in the measurement of its volume is

The measure of the radius of a sphere is (3.00pm2%) cm. Calculate the percentage error in volume and area. Also calculate the absolute error in volume and surface area.

Find the percentage error in calculating the volume of a cubical box if an error of 1% is made in measuring the length of edges of the cube.

MODERN PUBLICATION-UNITS AND MEASUREMENT-REVISION EXERCISES (NUMERICAL PROBLEMS)
  1. Express the given angles into radian. (a) 1^(@) (b) 12 sec.

    Text Solution

    |

  2. A distant star is observed from two diametrically opposite points on e...

    Text Solution

    |

  3. The diameter of the moon is 3474km and is 384,400 km away from the ear...

    Text Solution

    |

  4. In an experiment, the time period measurements for an oscillating simp...

    Text Solution

    |

  5. In Ohm's law experimental verification, the reading of voltage and res...

    Text Solution

    |

  6. Two identical resistors of resistance 100 pm 5 ohm are connected paral...

    Text Solution

    |

  7. The diameter of two cylingers are found to be d(1)= (2 pm 0.01)cm" and...

    Text Solution

    |

  8. Gravitational force between two objects with mass m(1)" and "m(2) kept...

    Text Solution

    |

  9. Calculate the volume of cylinder with radius 1.123 cm and height 2.101...

    Text Solution

    |

  10. Check the dimensional consistency of the equation (mV^2)/(r )= (Gm(1)m...

    Text Solution

    |

  11. An oil drop of radius 0.10mm spreads on a circular film of diameter 2...

    Text Solution

    |

  12. Calculate the percentage error in the volume of a cube if error in the...

    Text Solution

    |

  13. State the number of significant figures in the following measurements ...

    Text Solution

    |

  14. Round off the given numbers upto 3 significant digits. (a) 18.65 (...

    Text Solution

    |

  15. Obtain an expression for the centripetal force F acting on a particle...

    Text Solution

    |

  16. For a given expression of power, P= (a)/(bx)-(t^2)/(b). Determine th...

    Text Solution

    |

  17. For a planet of mass M, moving around the sun in an orbit of radius r,...

    Text Solution

    |