Home
Class 12
PHYSICS
A sphere has mass of (20+-0.4)kg and rad...

A sphere has mass of `(20+-0.4)kg` and radius of `(10+-0.1)` m. Find the maximum percentage error in the measurement of density.

Text Solution

Verified by Experts

Density `(p)=("Mass")/("Volume") therefore p=(M)/(4//3piR^(3))therefore(Deltap)/(p)xx100=(DeltaM)/(M)xx100+3(DeltaR)/(R)xx100`
`rArr "maximum error" =(0.4)/(20)xx100+3xx(0.1)/(10xx100)=2%+3%=5%`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A wire has a mass 0.4 +- 0.004g and length 8 +- 0.08(cm) The maximum percentage error in the measurement of it density is 4% The radius of the wire is r +- Delta r find Delta r

A wire has a mass 0.3+-0.003g , radius 0.5+-0.005mm and length 6+-0.06cm . The maximum percentage error in the measurement of its density is

A wire has a mass (0.3pm0.003) g, radius (0.5pm0.005) mm and length (6pm0.06) cm. The maximum percentage error in the measurement of its density is

The percentage error in measurement of radius of a sphere is 0.2% then the maximum percentage error in the measurement of its volume will be 0.6% 0.1% 0.4% 0.2%

The density of a sphere is measured by measuring the mass and diameter. If it is known that the maximum percentage errors in measurement of mass and diameter are 2% and 3% respectively then the maximum percentage error in the measurement of density is

Error in the measurement of radius of a sphre is 1%. Then maximum percentage error in the measurement of volume is

In the density measurement of a cube, the mass and edge length are measured as (10.00 pm 0.10) kg and (0.10 pm 0.01)m , respectively. The relative error in the measurement of density is:

ALLEN-BASIC MATHS-ERRORS IN MEASURMENTS
  1. The length, breadth and thickness of a sheet are 4.234m, 1.005 m and 2...

    Text Solution

    |

  2. Round off the following numbers as indicated : (ii) 25.653 ot 3 digits...

    Text Solution

    |

  3. Give the order of the following : (a) 1 (b) 1000 (c ) 499 (d) ...

    Text Solution

    |

  4. Following observations were taken with a vernier callipers while measu...

    Text Solution

    |

  5. The initial and final temperature of water as recorded by an observer ...

    Text Solution

    |

  6. The length and breadth of a rectangle are ( 5.7 +- 0.1 ) cm and ( 3.4 ...

    Text Solution

    |

  7. A body travels uniformly a distance of ( 13.8 +- 0.2) m in a time (4.0...

    Text Solution

    |

  8. A thin copper wire of length L increase in length by 2 % when heated f...

    Text Solution

    |

  9. On cm on the main scale of vernier callipers is divided into ten equal...

    Text Solution

    |

  10. A spherometer has 100 equal divisions marked along the periphery of it...

    Text Solution

    |

  11. If n^(th) division of main scale coincides with (n + 1)^(th) divisions...

    Text Solution

    |

  12. The least count of a stop watch is (1//5)s. The time 20 oscillations o...

    Text Solution

    |

  13. The initial and final temperatures of water in a container are observe...

    Text Solution

    |

  14. The mass of a cube has error of 2% and the length of its edge has erro...

    Text Solution

    |

  15. Area of a square is (100+-2)m^(2) Determine its side.

    Text Solution

    |

  16. The resistance R= (V)/(I), where V= (100+-5.0) V and I=(10+-0.2)A. Fin...

    Text Solution

    |

  17. The maximum percentage errors in the measurement of mass (M), radius (...

    Text Solution

    |

  18. A sphere has mass of (20+-0.4)kg and radius of (10+-0.1) m. Find the m...

    Text Solution

    |

  19. The period of oscillation of a simple pendulum is given by T=2pisqrt((...

    Text Solution

    |

  20. The length, breadth and thickness of a sheet are 4.234m, 1.005 m and 2...

    Text Solution

    |