Home
Class 12
PHYSICS
A solid sphere having uniform charge den...

A solid sphere having uniform charge density `rho` and radius R is shown in figure. A spherical cavity ofradius `(R)/(2)` is made in it. What is the potential at point O?

A

`(11R^2rho)/(24epsilon_0)`

B

`5/12(R^2rho)/(epsilon_0)`

C

`(7rhoR^2)/(12epsilon_0)`

D

`3/2(R^2rho)/(epsilon_0)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    KVPY PREVIOUS YEAR|Exercise EXERCISE|20 Videos

  • MOCK TEST 3

    KVPY PREVIOUS YEAR|Exercise EXERCISE|22 Videos

Similar Questions

Explore conceptually related problems

A solid sphere ofradius '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. It is given that (rhoR^(2))/(in_(0)) = 48 V . Find the electric potential at the centre C of the sphere:

A solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure.Find the value of |E_A /E_B|

A Uniformly charged solid non-conducting sphere of uniform volume charge density rho and radius R is having a concentric spherical cavity of radius r. Find out electric field intensity at following points, as shown in the figure : (i) Point A (ii) Point B (iii) Point C (iv) Centre of 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 solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure then the value of |(E_(A)/(E_(B)))| = (m)/(17) .Find the value of m

An infinitely long solid cylinder of radius R with uniform volume charge density rho has a spherical cavity of radius (R)/(2) with its centre on the axis of the cylinder as shown in the figure. The magnitude of the electric field at a point P which is at a distance 2R from the axis of the cylinder is given by (23rhoR)/(6Kepsilon_(0)) . What is the value of K ?

A hemi-spherical cavity is created in solid sphere (of radius 2R ) as shown in the figure. Then

Distance between centres of two spheres A andB, each of radius R is r as shown in figure -1.450 . SphereB has a spherical cavity of radius R//2 such that distance of centre of cavity is (r-R/2) from the centre of sphere A and R//2 from the centre of sphere B. Di-electric constant of material of each sphere is K = I and material of each sphere has a uniform charge density· p per unit volume. Calculate interaction energy of the two spheres :

Consider a uniform charged sphere of charge density r and radius R.If the cavity of radius R/2is made inside the sphere and the removed part is again placed near the charge distribution as shown in the figure. If the electric field at the centre of the cavity is (rho R)/(n varepsilon_(0) find n .

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distanace R/4 from the centre of sphere. The gravitational force on mass m is

KVPY PREVIOUS YEAR-MOCK TEST 2-EXERCISE
  1. A bimetallic strip is formed out of two identical strips one of copper...

    Text Solution

    |

  2. A rocket is launched normal to the surface of the earth, away from the...

    Text Solution

    |

  3. A particle of mass m and charge q enters a region of magnetic field (a...

    Text Solution

    |

  4. For the circuit shown in the figure the rms value of voltage across R ...

    Text Solution

    |

  5. An electron of mass m and charge e initially at rest gets accelerated ...

    Text Solution

    |

  6. A metal sphere of radius R and specific heat C is rotated about an axi...

    Text Solution

    |

  7. A particle is thrown above, then correct v-t graph will be

    Text Solution

    |

  8. The displacement of a particle is moving by x = (t - 2)^2 where x is i...

    Text Solution

    |

  9. A ring is cut from a platinum tube 8.5 cm internal and 8.7 cm external...

    Text Solution

    |

  10. A 10 kW drilling machine is used to drill a bore in a small aluminium ...

    Text Solution

    |

  11. A particle starts from rest at t= 0 and undergoes and acceleration (a...

    Text Solution

    |

  12. A solid sphere having uniform charge density rho and radius R is shown...

    Text Solution

    |

  13. A cylinder of radius R made of a material of thermal conductivity K1 i...

    Text Solution

    |

  14. The counting rate observed from a radioactive source at t=0 second was...

    Text Solution

    |

  15. A ballon starting from the ground has been ascending vertically at a u...

    Text Solution

    |

  16. Three bars of equal lengths x and equal area of cross-section A are co...

    Text Solution

    |

  17. The electric potential between a proton and as electron is given by V=...

    Text Solution

    |

  18. A nonconducting ring (of mass m, radius r, having charge Q) is placed ...

    Text Solution

    |

  19. A bullet is fired vertically upwards with a velocity upsilon from the ...

    Text Solution

    |

  20. An electric heater is used in a room of total wall area 137m^(2) to ma...

    Text Solution

    |