Home
Class 12
PHYSICS
An insulating solid sphere of radius R h...

An insulating solid sphere of radius R has a uniformly positive charge density `rho`. As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero.
Statement-1: When a charge 'q' is taken from the centre to the surface of the sphere, its potential energy changes by `(qrho)/(3 in_(0))`
Statement-2 : The electric field at a distance `r (r lt R)` from the centre of the the sphere is `(rho r)/(3in_(0))`

A

Statement 1 is false, Statement 2 is true

B

Statement 1 is true, Statement is false

C

Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1

D

Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    MOTION|Exercise Exercise -3 Section (A)|41 Videos
  • ELECTRONICS - SEMI CONDUCTOR

    MOTION|Exercise EXERCISE - 3|29 Videos
  • ELECTROSTATICS - I

    MOTION|Exercise EXERCISE - 4 (Level -II) PREVIOUS YEAR - JEE ADVANCED|13 Videos

Similar Questions

Explore conceptually related problems

An insulating solid sphere of radius R has a uniformaly positive charge density rho . As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero. Statement-1: Wgen a charge 'q' is taken from the centre to the surface of the sphere, its potential energy charges by (qrho)/(3 in_(0)) Statement-2 : The electric field at a distance r (r lt R) from the centre of the the sphere is (rho r)/(3in_(0))

In the above problem, find the electric field and electric potential at the centre of the sphere due to induced charges on the sphere?

A solid of radius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius R/2 is made in the sphere as shown in the figure. Find the electric potential at the centre of the sphere.

A conducting sphere of radius R is charged to a potential of V volts. Then the electric field at a distance r ( gt R) from the centre of the sphere would be

A solid conducting sphere of radius r is having a charge of Q and point charge q is a distance d from the centre of sphere as shown. The electric potential at the centre of the solid sphere is :

A solid sphere of radius R has charge q uniformly distributed over its volume. The distance from it surfce at which the electrostatic potential is equal to half of the potential at the centre is

MOTION-ELECTROSTATICS-Exercise -3 Section (B) Previous Year Problems | JEE Main
  1. A thin spherical shell of radius R has charge Q spread uniformly over ...

    Text Solution

    |

  2. Statement I : For a charged particle moving form point P to point Q, t...

    Text Solution

    |

  3. Two points P and Q are maintained at the potentials of 10V and -4V, re...

    Text Solution

    |

  4. Let P(r)=(Q)/(piR^4)r be the charge density distribution for a solid s...

    Text Solution

    |

  5. A charge Q is place at each of the opposite corners of a square. A cha...

    Text Solution

    |

  6. A thin semi-circular ring of radius r has a positive charge q distribu...

    Text Solution

    |

  7. Two identical charged spheres are suspended by strings of equal length...

    Text Solution

    |

  8. Let there be a spherically symmetric charge distribution with charge d...

    Text Solution

    |

  9. Two positive charges of magnitude q are placed at the ends of a side (...

    Text Solution

    |

  10. The electrostatic potential inside a charged spherical ball is given b...

    Text Solution

    |

  11. Two identical charged spheres suspended from a common point by two mas...

    Text Solution

    |

  12. An insulating solid sphere of radius R has a uniformly positive charge...

    Text Solution

    |

  13. In a uniformly charged sphere of total charge Q and radius R, the elec...

    Text Solution

    |

  14. Two charges, each equal to q, aer kept at x=-a and x=a on the x-axis. ...

    Text Solution

    |

  15. A charge Q is uniformly distributed over a long rod AB of length L as ...

    Text Solution

    |

  16. Assume than an electric field vec(E ) = 30 x^(2)hat(i) exists in space...

    Text Solution

    |

  17. A uniformly charged solid shpere fo radius R has potential V(0) (meas...

    Text Solution

    |

  18. A long cylindrical shell carries positive surface charge sigma in the ...

    Text Solution

    |

  19. The region between two concentric spheres of radii 'a' and 'b', respec...

    Text Solution

    |

  20. An electric dipole has a fixed dipole moment vec(p), which makes angle...

    Text Solution

    |