Home
Class 11
PHYSICS
The potential (in volts) of a charge dis...

The potential (in volts) of a charge distribution is given by
`V(z)=30-5z^(2)` for `|z| le 1m`
`V(z)=35-10 |z|` for `|z| ge 1m`
`V(z)` does not depend on x and y. If this potential is potential is generated by a constant charge per unit volume `rho_(0)` (in units of `in_(0)`) which is spread over a certain region, then choose the correct statement.

A

`rho_(0)=20 in_(0)` in the entire redion

B

`rho_(0)=10 in_(0)` for `|z| le 1m` and `rho_(0)=0` elsewhere

C

`rho_(0)=40 in_(0)` in the entire region

D

`rho_(0)=20 in_(0)` for `|z| le 1m` and `rho_(0)=0` elsewhere

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-05(B)|19 Videos

  • MISCELLANEOUS

    ALLEN|Exercise MCQ s WITH ONE OR MORE THAN ONE CORRECT ANSWER|6 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exersice-04[B]|16 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

The electrostatic potential V at any point (x, y, z) in space is given by V=4x^(2)

The electric potential V(z, y,z) for a planar charge distribution is given by: V(x, y, z)={(0,,"for "x lt -d),(-V_(0)(1+x/d)^(2),,"for "-d le x le 0),(-V_(0)(1+2x/d),,"for "0 le x lt d),(-3V_(0),,"for " x gt d):} where -V_(0) is the potential at the origin and d is a distance. Graph of electric field as a function of position is given as

Potential (V) at a point in space is given by v=x^(2)+y^(2)+z^(2) . Gravitational field at a point (x,y,z) is

The gravitational potential due to a mass distribution is V = 3X^(2) Y+ Y^(3) Z . Find the gravitational filed.

The electric potential at any point x,y and z in metres is given by V = 3x^(2) . The electric field at a point (2,0,1) is

If the electric potential in a region is represented as V = 2x + 3y - 4z .Then electric field vector will written as

If potential (in volts) in a region is expressed as V (x, y, z) = 6xy - y + 2yz , the electric field (in N//C) at point (1, 1, 0) is

Electrostatic field in a region is given by , vecE= (yzhati + zxhatj + xyhatk)V/m , where x,y and z are in m. If electric potential at origin is zero, then potential at (1m,1m, 1m) is

The electric potential in a region is represented as V=2x+3y-z obtain expression for electric field strength.

The electric potential in a region is represented as V=2x+3y-z obtain expression for electric field strength.

ALLEN-MISCELLANEOUS-Exercise-05(A)
  1. A charge Q is placed at each of the opposite corners of a square. A ch...

    Text Solution

    |

  2. This question contains statements-1 and Statement-2. Of the four choic...

    Text Solution

    |

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

    Text Solution

    |

  4. Let P(r) = (Q)/(pi R^(4)) r be the charge desntiy distribution for a s...

    Text Solution

    |

  5. Charge q is uniformly distributed over a thin half ring of radius R. T...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 A...

    Text Solution

    |

  11. An insulating solid sphere of radius R has a uniform positive charge d...

    Text Solution

    |

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

    Text Solution

    |

  13. Two charges, each equal to q, are kept at x = −a and x = a on the x-ax...

    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 E=30 x^(2) hat(i) exist in space. Then, ...

    Text Solution

    |

  16. A uniformly charged solid sphere of radius R has potential V(0) (meas...

    Text Solution

    |

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

    Text Solution

    |

  18. The region between two concentric spheres of radii a and b (gt a) cont...

    Text Solution

    |

  19. The potential (in volts) of a charge distribution is given by V(z)=3...

    Text Solution

    |

  20. Within a spherical charge distribution of charge density rho(r), N equ...

    Text Solution

    |