Home
Class 12
PHYSICS
400 muC charge is uniformly spread over...

`400 muC` charge is uniformly spread over the surface of a spherical shell and surface density is `0.314 cm^(-2)`. What is the radius of this shell ?

A

31.4 m

B

`1/(31.4)m`

C

3.184 m

D

0.01 m

Text Solution

Verified by Experts

The correct Answer is:
D
Let `sigma = Q/(4piR^(2))`
`therefore R^(2) = Q/(4pisigma) = (400 xx 10^(-6))/(4 xx 3.14 xx 3.14 xx 10^(-2))`
`therefore R = 0.00318`m
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CHARGES AND FIELDS

    KUMAR PRAKASHAN|Exercise SECTION D (MULTIPLE CHOICE QUESTIONS (MCQS)) (MCQS FROM .DARPAN. BASED ON TEXTBOOK) (MISCELLANEOUS MCQs)|6 Videos

  • ELECTRIC CHARGES AND FIELDS

    KUMAR PRAKASHAN|Exercise SECTION D (MULTIPLE CHOICE QUESTIONS (MCQS)) (MCQS FROM .DARPAN. BASED ON TEXTBOOK) (ASSERTION AND REASON TYPE MCQs)|3 Videos

  • ELECTRIC CHARGES AND FIELDS

    KUMAR PRAKASHAN|Exercise SECTION D (MULTIPLE CHOICE QUESTIONS (MCQS)) (MCQS FROM .DARPAN. BASED ON TEXTBOOK) (LECTRIC FIELD AND ELECTRIC DIPOLE)|26 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    KUMAR PRAKASHAN|Exercise Section-D (MCQs asked in GUJCET/Board Exam)|1 Videos

  • ELECTROMAGNETIC INDUCTION

    KUMAR PRAKASHAN|Exercise Section D MCQs (MCQs asked in Competitive Exams )|38 Videos

Similar Questions

Explore conceptually related problems

Find the radius of a sphere whose surface area is 154 cm^(2) .

If the surface area of a sphere is 154 cm ^(2) , find its radius

The surface area of a sphere is 616 cm^(2) . Then, its radius is ……… cm.

10 xx 10^(-6) C charge is uniformly spread over the cube of face length 1 mm. The density of charge will be ......... Cm^-3

Total surface area of a hemisphere with radius 7 cm is ……… cm^(2) .

A metallic spherical shell has an inner radius R j and outer radius R_2 . A charge Q is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface ?

A spherical conducting shell of inner radius r_(1) and outer radius r_(2) has a charge Q. (a) A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell? (b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.

Shown in the figure a spherical shell with an inner radius 'a' and an outer radius 'b' is made of conducting metarial. A charge +Q is placed at the centre of the spherical shell and a total charge -q s placed on the shell. Charge -q is districuted on the surfaces as :

A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a .

KUMAR PRAKASHAN-ELECTRIC CHARGES AND FIELDS -SECTION D (MULTIPLE CHOICE QUESTIONS (MCQS)) (MCQS FROM .DARPAN. BASED ON TEXTBOOK) (CONTINUOUS DISTRIBUTION OF CHARGE AND ELECTRIC FLUX)
  1. Dimensional formula of electric flux is.......

    Text Solution

    |

  2. If a charge q is placed at centre of cube, then flux associated with e...

    Text Solution

    |

  3. 400 muC charge is uniformly spread over the surface of a spherical sh...

    Text Solution

    |

  4. 10 xx 10^(-6) C charge is uniformly spread over the cube of face leng...

    Text Solution

    |

  5. The linear charge density of 10muC charge, uniformly distributed on t...

    Text Solution

    |

  6. If 0.1muC total charge is uniformly distributed over long straight wi...

    Text Solution

    |

  7. There exists an electric field of 100 N/C along Z-direction. The flux ...

    Text Solution

    |

  8. The electric field in the region of the space is vecE = (5hati + 2hatj...

    Text Solution

    |

  9. A cylinder of radius r and length L is placed in a uniform electric fi...

    Text Solution

    |

  10. On two hollow spheres (shells) charges -q and +q are placed, so the fl...

    Text Solution

    |

  11. the number of electric field lines leaving the positive 0.5 C charge p...

    Text Solution

    |

  12. flux associated with the metal piece of 3hatj m^(2) cross-section pla...

    Text Solution

    |

  13. linear charge density of current carrying wire of infinite length is 4...

    Text Solution

    |

  14. When a 10muC charge is enclosed by a closed surface, the flux passing...

    Text Solution

    |

  15. An electric dipole is placed at the centre of a sphere. The flux passi...

    Text Solution

    |

  16. When the electric flux linked with the surface will be positive.

    Text Solution

    |

  17. The number of electric field lines emerged out from 1muC charge is ......

    Text Solution

    |

  18. Linear charge densities of two parallel wires of infinite length is la...

    Text Solution

    |

  19. A rectangular frame of 25 cm x 15 cm is placed normal to 2 xx 10^4 NC^...

    Text Solution

    |

  20. Charge q is inside a hollow cylinder. If flux associated with its curv...

    Text Solution

    |