Home
Class 12
PHYSICS
If error in measuring diameter of a circ...

If error in measuring diameter of a circle is 4 %, the error in the radius of the circle would be

Text Solution

Verified by Experts

The correct Answer is:
`(-kq)/(piR^(2)) hat(i)`


`E_("net")=2underset(0)overset(pi//2)(int)dE sin theta`
`rArr 2underset(0)overset(pi//2)(int) ((Kq)/((piR//2))xxRd theta)/R^(2)xxsin theta=(4Kq)/(piR^(2))`
`rArr vec(E)=((4Kq)/(piR^(2)))(-hat(i))N//C`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If error in measuring diameter of a circle is 6 %, the error in the radius of the circle would be

The kinetic energy of a particle depends on the square of speed of the particle. If error in measurement of speed is 30%, the error in the measurement of kinetic energy will be

The error in measurement of radius of a sphere is 0.1% then error in its volume is -

If the error in the measurement of momentum is 20 % , then the error in the calculation of kinetic energy is (assume the error in measurement of m as zero)

If the error in the measurement of momentum of a particle is (+ 100%), then the error in the measurement of kinetic energy is

What will be 4 times the diameter of a circle . If the radius of the circle is 2 cm?

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

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

If the relative error in measuring the radius of a circular plane is alpha , find the relative error in measuring its area.

ALLEN-BASIC MATHS-Exersice-04[A]
  1. In an experiment, the period of oscillation of a simple pendulum was o...

    Text Solution

    |

  2. The resistance R = V//i, where V = 100 +- 5 V and I = 10+- 0.2 A. What...

    Text Solution

    |

  3. The length, breadth and thickness of a strip are (10.0 pm 0.1) cm.(1.0...

    Text Solution

    |

  4. If error in measuring diameter of a circle is 4 %, the error in the ra...

    Text Solution

    |

  5. The external and internal diameters of a hollow cylinder are measured ...

    Text Solution

    |

  6. Percentage error in measuring the radius and mass of a solid sphere a...

    Text Solution

    |

  7. In a vernier callipers N divisions of vernier scale coincide with N-1 ...

    Text Solution

    |

  8. The length of cylinder is measured with a metre rod having least count...

    Text Solution

    |

  9. A vernier callipers has divisions on the vernier scale which coincide ...

    Text Solution

    |

  10. The heat generated in a circuit is dependent upon the resistance, cur...

    Text Solution

    |

  11. Percentage erros in the measurement of mass and speed are 2% and 3% re...

    Text Solution

    |

  12. 1 cm on the main scale of a vernier callipers is divided into 10 equal...

    Text Solution

    |

  13. While measuring the acceleration due to gravity by a simple pendulum ,...

    Text Solution

    |

  14. A student measured the diameter of a wire using a screw gauge with lea...

    Text Solution

    |

  15. Find (dy)/(dx) for the following : (i) y=x^(7//2)

    Text Solution

    |

  16. Given s=t^(2)+8t+9, find (ds)/(dt)

    Text Solution

    |

  17. If s= ut +(1)/(2) at^(2), where u and a are constants. Obtain the valu...

    Text Solution

    |

  18. The area of a blot of ink is growing such that after t seconds, its ar...

    Text Solution

    |

  19. The area of a circle is given by A=pir^(2), where r is the radius . Ca...

    Text Solution

    |

  20. Obtain the differential coefficient of the following : (i) (x-1) (2x...

    Text Solution

    |