Home
Class 12
PHYSICS
The charge density on the surface of a c...

The charge density on the surface of a conducting sphere is `64xx10^(-7)C//m^(2)` and the electric intensity at a distance of 2 m from the centre of the sphere is `4pixx10^(4)N//C`. The radius of the sphere is

A

0.83 m

B

0.4 m

C

0.6 m

D

0.38 m

Text Solution

Verified by Experts

The correct Answer is:
A

`R^(2)=(Ein_(0)kr^(2))/sigma=(4pixx10^(4)xx8.85xx10^(-12)xx4)/(64xx10^(-7))`
`therefore" "R=0.83m`
Promotional Banner

Topper's Solved these Questions

  • ELECTRONS AND PHOTONS

    NIKITA PUBLICATION|Exercise MCQs|162 Videos
  • GRAVITATION

    NIKITA PUBLICATION|Exercise Multiple Choice Questions|409 Videos

Similar Questions

Explore conceptually related problems

The surface charge density of a conducting sphere is 8.85xx10^(-10)C//m^(2) and the electric field intensity at a distance of 4m from the centre of the sphere is 10^(-2)V//m . The radius of the sphere, assuming the sphere to be in vacuum is

The surface density of charge on a conductor situated in air, is 2xx10^(-4)C//m^(2) . The electric intensity at a point very near to its surface is

Surface charge density of a conducting sphere of a radius 10 cm is 8.85 xx 10^(-8) c//m^(2) . Potential at the centre of the sphere is

The potential at a distance R//2 from the centre of a conducting sphere of radius R will be

What is the net charge on a conducting sphere of radius 10 cm ? Given that the electric field 15 cm from the center of the sphere is equal to 3xx10^(3) N/C and is directed inward

A conducting sphere of radius 10 cm has unknown charge. If the electric field at a distance 20 cm from the centre of the sphere is 1.2xx10^(3)NC^(-1) and points radially inwards. The net charge on the sphere is

A conducting sphere fo radius 10 cm has an unknown charge. If the electric field 20 cm from the center of the sphere is 1.5xx10^(3) N//C and points radilly inwards, what is the net charge on the sphere ?

The electric intensity at a point distant 1 m from the centre of a sphere of radius 25 cm in air is 10^(4)N//C . The surface density of the charge on the surface of sphere is

A hollow sphere of radius 0.1 m has a charge of 5 xx10^(-8) C . The potential at a distance of 5 cm from the centre of the sphere is (1/(4pi epsi_(0))=9xx10^(9) Nm^(2) C^(-2))

A sphere of radius R has a charge density sigma . The electric intensity at a point at a distance r from its centre is

NIKITA PUBLICATION-ELECTROSTATICS-Multiple Choice Questions
  1. If sigma is surface density of charge on the charged cylinder of radiu...

    Text Solution

    |

  2. The charge deposited per unit length of cylinder is called as

    Text Solution

    |

  3. The charge density on the surface of a conducting sphere is 64xx10^(-7...

    Text Solution

    |

  4. An isolated conducting sphere of radius 0.1m placed in vacuum carries ...

    Text Solution

    |

  5. A conductor having a charge density of 120muC//m^(2) is surrounded by ...

    Text Solution

    |

  6. A metal sphere of radius 5 cm is charged to 100 V. Electric intensity ...

    Text Solution

    |

  7. The electric intensity at a point distant 1 m from the centre of a sph...

    Text Solution

    |

  8. A charged of 8xx10^(-6)C is given to a metallic sphere of radius 5 cm ...

    Text Solution

    |

  9. A charge of 5xx10^(-10)C is given to a metal cylinder of length 10 cm,...

    Text Solution

    |

  10. The electric intensity due to a charged conducting cylinder of radius ...

    Text Solution

    |

  11. A metal cylinder of length 2 km is charged with 2xx10^(-2)C. The linea...

    Text Solution

    |

  12. A charged cylinder of radius 2 cm has surface density of charge 8.85xx...

    Text Solution

    |

  13. The surface density of charge on a conductor situated in air, is 2xx10...

    Text Solution

    |

  14. An electric cable of diameter 10 cm runs under water for a distance of...

    Text Solution

    |

  15. A circular metal plate of radius 10 cm is given a charge of 20muC on i...

    Text Solution

    |

  16. The surface density of charge on the earth's surface is 2.65xx10^(-9)C...

    Text Solution

    |

  17. The mechanical force acting on a unit area of a charged conductor is

    Text Solution

    |

  18. The mechanical stress of a charged conductor is directly proportional ...

    Text Solution

    |

  19. A metal surface of area 1 m^(2) is charged with sqrt(8.85)muC in air. ...

    Text Solution

    |

  20. In an electron gun, the electrons are accelerated by the potential V. ...

    Text Solution

    |