Home
Class 11
PHYSICS
Calculate the volume of a sphere of radi...

Calculate the volume of a sphere of radius `(3.0pm0.1)` cm, if the error quoted is the standard deviation in the measurement.
[Hint: `V=(4pi)/(3)r^(3),((deltaV)/(V))^(2)=3^(2)xx((deltar)/(r))^(2)`]

Text Solution

Verified by Experts

The correct Answer is:
`(113pm11)cm^(3)`
Promotional Banner

Topper's Solved these Questions

  • ERRORS AND THEIR MEASUREMENTS

    NN GHOSH|Exercise EXERCISES|17 Videos

  • ELASTICITY

    NN GHOSH|Exercise EXERCIES(b)|14 Videos

  • EXPANSION OF SOLIDS

    NN GHOSH|Exercise All Questions|18 Videos

Similar Questions

Explore conceptually related problems

Find the volume of a sphere of radius 3.5cm(pi=3.14)

Find the volume of sphere of radius 3.5 cm . (pi=3.14)

The radius of a sphere is (2.6 pm 0.1) cm The percentage error u iis volume is

What is volume of sphere whose radius is 4 cm. (pi= 3.14)

The voltage across a resistor is 8.0pm0.2 volt and the current through it is (3.8pm0.1) ampere. What is the power consumed? The errors quoted are the standard deviations in the measurements. [Hint : Use W = VI and ((sigmaw)/(W))^(2)=((sigmav)/(V))^(2) +((sigmal)(I))^(2) ]

The radius of a sphere is (5.3 +- 0.1) cm The perecentage error in its volume is

The measure of radius of a sphere is (4.22 +2%) cm. The percentage error in volume of the sphere is

The volume of a sphere is given by V=(4)/(3)pir^(3) Make r as the subject of the formula.

If the radius of a sphere is measured as 9cm with an error of 0.03cm, then find the approximate error in calculating its volume.

NN GHOSH-ERRORS AND THEIR MEASUREMENTS -EXERCISES
  1. A student makes measurements of the diameter of a wire with the help a...

    Text Solution

    |

  2. Two students A and B make measurement of the focal length of the same ...

    Text Solution

    |

  3. The ammeter and voltmeter connected in series and parallel with a resi...

    Text Solution

    |

  4. Time of fall of a body =(10.0pm0.5) sec Acceleration due to gravity ...

    Text Solution

    |

  5. The mass of a body =(100pm2%)ms^(-2) kg and the volume of the body =(1...

    Text Solution

    |

  6. The measures of the length and breadth of a rectangle are (30pm3%) and...

    Text Solution

    |

  7. In a simple pendulum l=(100.0pm0.5) cm and t=(2.00pm0.01) sec. What is...

    Text Solution

    |

  8. The modulus of rigidity of a wire is given by the formula W(g)=(npir^(...

    Text Solution

    |

  9. Show that percentage error in the measurement of m/B by a deflection m...

    Text Solution

    |

  10. In a prisim mu=(sin[(A+D)//2])/(sin(A//2)). Find the formula for the p...

    Text Solution

    |

  11. The voltage across a resistor is 8.0pm0.2 volt and the current through...

    Text Solution

    |

  12. Calculate the volume of a sphere of radius (3.0pm0.1) cm, if the error...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. In a simple pendulum experiment the length of the pendulum is measered...

    Text Solution

    |

  16. Show that if two sets of measured quantities have mean values m(1) and...

    Text Solution

    |

  17. A body is moving at speed of 0.3m//s. To measure its speed with an acc...

    Text Solution

    |