Home
Class 12
PHYSICS
Let there be a spherically symmetric cha...

Let there be a spherically symmetric charge distribution with charge density varying as `rho(r)=rho(5/4-r/R)` upto `r=R`, and `rho(r)=0` for `rgtR`, where r is the distance from the origin. The electric field at a distance r(rltR) from the origin is given by

A

`(4pi rho_(0) r)/(3 epsi_(0)) (5/3-r/R)`

B

`(rho_(0) r)/(4 epsi_(0)) (5/3-r/R)`

C

`(4 rho_(0) r)/(3 epsi_(0)) (5/4-r/R)`

D

`(rho_(0) r)/(3 epsi_(0)) (5/4-r/R)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE|Exercise HLP|39 Videos
  • ELECTROSTATICS

    RESONANCE|Exercise Exercise - 3 Part - I|34 Videos
  • ELECTROMAGNETIC INDUCTION

    RESONANCE|Exercise A.l.P|19 Videos
  • EXPERIMENTAL PHYSICS

    RESONANCE|Exercise PART -II|10 Videos

Similar Questions

Explore conceptually related problems

Let there be a spherical symmetric charge density varying as p(r )=p_(0)(r )/(R ) upto r = R and rho(r )=0 for r gt R , where r is the distance from the origin. The electric field at on a distance r(r lt R) from the origin is given by -

[" Consider a spherical symmetric "],[" charge distribution with charge "],[" density varying as "],[[rho={[rho_(0)(1-(r)/(R)),r R]]

Consider a spherical symmetric charge distribution with charge density varying as rho={[rho_(0)(1-(r)/(R)),r R]} The electric field at r , r le R will be

A point charge q is placed at the origin . How does the electric field due to the charge very with distance r from the origin ?

The mass density of a spherical body is given by rho(r)=k/r for r le R and rho (r)=0 for r > R , where r is the distance from the centre. The correct graph that describes qualitatively the acceleration, a, of a test particle as a function of r is :

In a spherical distribution , the charge density varies as rho(r)=A//r " for " a lt r lt b (as shown) where A is constant . A point charge Q lies at the centre of the sphere at r = 0 . The electric filed in the region altrltb has a constant magnitude for

For spherically symmetrical charge distribution, electric field at a distance r from the centre of sphere is vec(E)=kr^(7) vec(r) , where k is a constant. What will be the volume charge density at a distance r from the centre of sphere?

For a spherically symmetrical charge distribution electric field at a distance r from the centre of sphere is vec(E)=kr^(2)hat(r) where k is a constant what will be the volume charge density at a distance r from the centre of sphere?

RESONANCE-ELECTROSTATICS-Part - II
  1. A thin spherical shell of radius R has charge Q spread uniformly over ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Statement-1. For a charged particle moving from point P to point Q, t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Assume that an electric field vec(E) = 30 x^(2) hat(i) exists in spac...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Three concentric metallic spherical shells A,B and C of radii a,b and ...

    Text Solution

    |