Home
Class 11
PHYSICS
If the error in measurement of radius of...

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

A

0.04

B

0.06

C

0.08

D

0.02

Text Solution

Verified by Experts

Volume of sphere `V=(4)/(3) pi R^(3)`, where R= radius of sphere
`(4)/(3)pi`= constant
`:.V=R^(3)`
`:.(DeltaV)/(V)=3*(DeltaR)/(R)`
`:.(DeltaV)/(V)xx100=3xx(DeltaR)/(R)xx100`
`=3xx2%`
`=6%`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise Section -F (Questions from Module )|20 Videos

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise SECTION -D (NECERT EXEMPLAR SOLUTIONS) (Long Answer Type Questions)|9 Videos

  • THERMODYANMICS

    KUMAR PRAKASHAN|Exercise Question Paper|11 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-F (Questions From Module) (Sample questions for preparation of competitive exams)|23 Videos

Similar Questions

Explore conceptually related problems

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

What is error in measurement ?

The error in measuring the side of a cube is +- 1% . The error in the calculation of the volume of the cube will be about

If error in measurement of a length of a cube is 3%, what is error in area of its one side ?

Percentage erros in the measurement of mass and speed are 2% and 3% respectively. The error in the estimation of kinetic energy obtained by measuring mass and speed will be:

If the error committed in measuring the radius of a circle is 0.01% , find the corresponding error in calculating the area.

If there is an error 4% in the area of circle, then the error in radius is ………..

If error in measuring diameter of a circle is 4 %, the error in circumference of the circle would be :-

From length of square plate and force acting on it pressure on plate is measured. If error in force and length is 4% and 2% respectively, then maximum relative error in measurement of pressure will be …………..

What is error in measurement, done by any instrument?

KUMAR PRAKASHAN-UNITS AND MEASUREMENT-SECTION -E (MULTIPLE CHOICE QUESTIONS (MCQS) (MCQS ASKED IN GUJARAT BOARD AND COMPETITIVE EXAMS)
  1. Which of the following pair do not have same dimension?

    Text Solution

    |

  2. A cylindrical rod having temperature T(1) and T(2) at its end. The rat...

    Text Solution

    |

  3. SI unit of Stefan-Boltzmaan constant is . . .. . . .

    Text Solution

    |

  4. Which of the following is unit of permitivity of vaccum ?

    Text Solution

    |

  5. Ratio of unit of Planck's constant and moment of inertia will give whi...

    Text Solution

    |

  6. Velocity of a particle at time t is given by v=at+(b)/(t+c)a,b, care c...

    Text Solution

    |

  7. If mass, length, time and electric current is represented as M, L, T, ...

    Text Solution

    |

  8. If the error in measurement of radius of a shpere is 2% then the error...

    Text Solution

    |

  9. Which of the following two parameter have same dimension? (a) energ...

    Text Solution

    |

  10. Dimension of a physical quantity is M^(a)L^(b)T^(c), then it is ......

    Text Solution

    |

  11. Dimension of (1)/(2)epsi(0)E^(2) is...... epsi(0) permittive of vaccum...

    Text Solution

    |

  12. Dimension of [mu(0)epsi(0)]^(-(1)/(2))....

    Text Solution

    |

  13. If force (F), velocity (v) and time (T) are taken as fundamental unit...

    Text Solution

    |

  14. If energy (E), velocity (V) and time (T) are chosen as the fundamental...

    Text Solution

    |

  15. In dimension of critical velocity v(c) of liquid following through a t...

    Text Solution

    |

  16. If Plank constant (h) speed of free space light (c) and Newton gravita...

    Text Solution

    |

  17. A student perform experiment to measure thickness of slab by using ver...

    Text Solution

    |

  18. In an experiment four quantities a,b,c and d are measured with percent...

    Text Solution

    |

  19. The density of a material in the shape of a cube is determined by meas...

    Text Solution

    |

  20. A student measured the diameter of a small steel ball using a screw ga...

    Text Solution

    |