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_(0)((5)/(4)-(r)/(R))` upto `r=R`, and `rho(r)=0` for `r gtR`, where r is the distance from the origin. The electric field at a distance `r(rlt R)` from the origin is given by

A

`(4 pi 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

  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (ELECTRIC POTENTIAL & CAPACITANCE )|143 Videos

  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (CUTTENT ELECTRICITY )|108 Videos

  • ALTERNATING CURRENT

    AAKASH SERIES|Exercise EXERCISE - III|24 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|128 Videos

Similar Questions

Explore conceptually related problems

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

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 -

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 ?

A hallow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre:

For spherical charge distribution gives as . {{:(,rho = rho_(0)(1-(r)/(3)),"when" r le 3m),(,rho = 0 ,"when" r gt 3m):} ( where x is the distance form the centre of spherical charge distribution) The electric field intensity is maximum for the value of r=_______m.

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 :

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 non-conduction cylinder of radius R is charge such that volume charge density is proporation to r where r is distance from axis. The electric field E at a distance r(r lt R) well depend on r as.

A non-conducting solid sphere has volume charge density that varies as rho=rho_(0) r, where rho_(0) is a constant and r is distance from centre. Find out electric field intensities at following positions. (i) r lt R" " (ii) r ge R

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

AAKASH SERIES-APPENDICES ( REVISION EXERCISE )-REVISION EXERCISE (MAGNETISM AND MATTER )
  1. Let there be a spherically symmetric charge distribution with charge d...

    Text Solution

    |

  2. Find the resultant magnetic moment for the following arrangement

    Text Solution

    |

  3. A bar magnet of magnetic moment M(1) is axically cut into two equal pa...

    Text Solution

    |

  4. An iron rod of length L and magnetic moment M is bent in the form of a...

    Text Solution

    |

  5. The force between two short magnets is 'F'. When the pole strengths of...

    Text Solution

    |

  6. The force between two poles is reduced to P newton, when their origina...

    Text Solution

    |

  7. Two identical spheres each of mass M and Radius R are separated by a d...

    Text Solution

    |

  8. The distance between a north pole of strength 6 xx 10^(-3)Am and a sou...

    Text Solution

    |

  9. Two north poles each of pole strength m and a south pole of pole stren...

    Text Solution

    |

  10. The magnetic induction at a distance 'd' from the magnetic pole of unk...

    Text Solution

    |

  11. The force between two short magnets is 'F'. When the pole strengths of...

    Text Solution

    |

  12. The poles of a horse-shoe magnet cach of pole strength 2A-m are at 4cm...

    Text Solution

    |

  13. Two poles of a horse shoe magnet each of pole strength 2 Am are 8 cm a...

    Text Solution

    |

  14. The length of a magnet of moment 5A m^2 is 14cm. The magnetic inductio...

    Text Solution

    |

  15. A magnet of length 10cm and magnetic moment 1 Am^2 is placed along the...

    Text Solution

    |

  16. Two identical magnetic poles each of strength 'm' are placed at the ve...

    Text Solution

    |

  17. The pole strength of a 12cm long bar magnet is 20Am. The magnetic indu...

    Text Solution

    |

  18. Two short bar magnets of magnetic moments m each are arranged at the o...

    Text Solution

    |

  19. The pole strength of a 12cm long bar magnet is 20Am. The magnetic indu...

    Text Solution

    |

  20. Two short magnets each of moment M are placed one over the other at ri...

    Text Solution

    |

  21. A short bar magnet of magnetic movement 5.25xx10^(-2)J T^(-1) is plac...

    Text Solution

    |