Home
Class 12
PHYSICS
If the circumference of a sphere is 2 m,...

If the circumference of a sphere is 2 m, then capacitance of sphere in water would be

A

2700 pF

B

2760 pF

C

2780 pF

D

2800 pF

Text Solution

Verified by Experts

The correct Answer is:
D
Given `2pi R = 2 implies R =1/pi`
For shere `C = 4pi epsilon_0KR`
`implies C=1/(9xx10^9)xx1/pi xx80 ` [For water K = 80]
`implies C = 2828.28 PF` (approx).
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Grouping of Capacitors)|58 Videos

  • ELECTROSTATICS

    ERRORLESS|Exercise PAST YEARS QUESTIONS|56 Videos

  • ELECTROSTATICS

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Electric Flux and Gauss.s Law)|27 Videos

  • ELECTRONICS

    ERRORLESS|Exercise Assertion & Reason|26 Videos

  • MAGNETIC EFFECTS OF CURRENT

    ERRORLESS|Exercise ASSERTION & REASON |18 Videos

Similar Questions

Explore conceptually related problems

There is a solid sphere of mass m. Moment of inertia about the axis passing through the centre of sphere is I. If the material of the sphere is recast to a disc of same radius then what would be its moment of inertia?

The surface area of a sphere is 616 cm^(2) . The volume of the sphere would be :

The capacitance (C ) for an isolated conducting sphere of radius (a) is given by 4pi epsilon_(0)a . If the sphere is enclosed with an earthed concentric sphere. The ratio of the radii of the sphere being (n)/((n-1)) then the capacitance of such a sphere will be increased by a factor

The error in the measurement of radius of a sphere of radius of a sphere is 2%. What would bet the volume of sphere?

A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. The outer sphere si earthed and the inner sphere is given a charge of 2.5 muC . The space between the concentric spheres is filled with a liquid of dielectric constant 32. (a) Determine the capacitance of the capacitor. (b) What is the potential of the inner sphere ? (c) Compare the capacitance of this capacitor with that of an isolated sphere of radius 12 cm.Explain why the latter is much smaller ?

The capacitance of a metallic sphere is 1 muF , if its

Sixty four identical sphere of change q and capacitance C each are combined to form a large sphere . The charge and capacitance of the large sphere is

The capacitance of a spherical condenser is 1 mu F . If the spacing between the two spheres is 1mm , then the radius of the outer sphere is

ERRORLESS-ELECTROSTATICS-NCERT BASED QUESTIONS (Capacitance)
  1. A system is shown in the figure. The time period for small oscillation...

    Text Solution

    |

  2. A parallel plate capacitor is charged by connecting it to a battery. T...

    Text Solution

    |

  3. An uncharged capacitor is connected to a battery. On charging the capa...

    Text Solution

    |

  4. In a parallel plate capacitor of capacitance C, a metal sheet is inser...

    Text Solution

    |

  5. In a capacitor of capacitance 20 muF,the distance between the plates i...

    Text Solution

    |

  6. A parallel plate capacitor has plate area A and separation d. It is ch...

    Text Solution

    |

  7. If n drops, each of capacitance C and charged to a potential V, coales...

    Text Solution

    |

  8. A spherical drop of capacitance 1 muF is broken into eight drop of equ...

    Text Solution

    |

  9. Sixty four identical sphere of change q and capacitance C each are com...

    Text Solution

    |

  10. A parallel plate capacitor is connected to a battery. The plates are p...

    Text Solution

    |

  11. A capacitor of 4 mu F is connected as shown in the circuit. The intern...

    Text Solution

    |

  12. Between the plates of a parallel plate capacitor a dielectric plate in...

    Text Solution

    |

  13. During charging a capacitor variation of potential V of the capacitor ...

    Text Solution

    |

  14. Charge Q on a capacitor varies with voltage V as shown in the figure, ...

    Text Solution

    |

  15. A capacitor of capacitance C is charged to a potential difference V fr...

    Text Solution

    |

  16. Eight drops of mercury of equal radii possessing equal charges combine...

    Text Solution

    |

  17. A parallel plate air capacitor has capacity C distance of separation b...

    Text Solution

    |

  18. The capacity of a parallel plate air capacitor is 2 mu F and voltag...

    Text Solution

    |

  19. A parallel plate capacitor is charged and then isolated. The effect of...

    Text Solution

    |

  20. If the circumference of a sphere is 2 m, then capacitance of sphere in...

    Text Solution

    |