Home
Class 12
PHYSICS
The error in the measurement of the radi...

The error in the measurement of the radius of a sphere is 2%. What will be the error in the calculation of its surface area?

Text Solution

AI Generated Solution

To solve the problem of finding the error in the calculation of the surface area of a sphere when the error in the measurement of the radius is given, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula for Surface Area**: The surface area \( A \) of a sphere is given by the formula: \[ A = 4 \pi r^2 ...
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

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

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

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

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

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

Similar Questions

Explore conceptually related problems

The error in the measurement of the radius of a sphere is 1% . Find the error in the measurement of volume.

The percentage error in the measurement of the radius of a sphere is 1.5%. What would be the percentage error in the volume of the sphere ?

The percentage error in the measurement of the radius of a sphere is 1.5%. What would be the percentage error in the volume of the sphere ?

The error in the measurement of the radius of a sphere is 1%. The error in the measurement of volume is

If error in measurement of radius of a sphere is 1%, what will be the error in measurement of volume?

The error in the measurement of radius of a sphere is 0.4%. The percentage error in its volume is

The error in the measument of radius of a sphere is 0.4% . The relative error in its volume is

The error in the measurement of the radius of a sphere is 0.5 % . What is the permissible percentage error in the measurement of its (a) surface area and (b) volume ?

If the error in the measurement of radius of a sphere in 2% then the error in the determination of volume of the spahere will be

If the error in the measurement of radius of a sphere in 2% then the error in the determination of volume of the spahere will be

AAKASH INSTITUTE ENGLISH-UNITS AND MEASUREMENTS-Try Yourself
  1. If A =12.0 cm pm 0.1 cm and B 8.5 cm pm0.5 cm, find A + B

    Text Solution

    |

  2. If l(1) = (10.0 pm 0.1) cm and l(2) = (9.0 pm 0.1) cm , find the their...

    Text Solution

    |

  3. The error in the measurement of the radius of a sphere is 2%. What wil...

    Text Solution

    |

  4. The voltage across a lamp is (6.0 +- 0.1) V and the current passing th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. For two resistors R(1)andR(2), connected in parallel, find the relativ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A substance having mass 5.74 g occupies a volume of 1.2cm^3. Caluclate...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Find the dimensions for electric power.

    Text Solution

    |

  17. Dimensions of relative density is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |