Home
Class 11
PHYSICS
The diemnsion of energy density,1/2 epsi...

The diemnsion of energy density,`1/2 epsilon_0 E^2`, where `elipson_0` is permittivity of free space and E is electric field is :

A

`[M^1L^(-1)T^(-2)]`

B

`[M^1L^2T^(-2)]`

C

`[M^1L^2T^(-1)]`

D

`[M^1L^1T^(-1)]`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENT

    JBD PUBLICATION|Exercise EXAMPLE|105 Videos

  • Oscillations and Waves

    JBD PUBLICATION|Exercise EXAMPLE|97 Videos

  • PROPERTIES OF BULK MATTER

    JBD PUBLICATION|Exercise EXAMPLE|139 Videos

Similar Questions

Explore conceptually related problems

The unit of permittivity of free space (E_0) is :

Find the capacitance of a system of three parallel plates each of area A metres^2 separated by distane d_1 and d_2 metre respectively. The space between them is filled with dielectris of relative constants epsilon_1 and epsilon_2 . The permittivity of free space is ε 0 The equivalent capacitance of the system is:

Using the concept of free electrons in a conductor, derive the expression for the conductivity of a wire in terms of number density and relaxation time. Hence obtain the relation between current density and the applied electric field E.

Show that the energy density of em radiation is epsilon_0E^2 . Hence, find the intensity of radiations?

Dimensions of 1/(mu_0epsilon_0) , where symbols have their usual meanings are:

Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by (E_2 - E_1) hatn= (sigma)/(epsilon_0) where n is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of hatn is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is sigma hatn // epsilon_0 . Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another.

Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by (E_2 - E_1) hatn= (sigma)/(epsilon_0) where hatn is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of hat n is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is sigma hatn // epsilon_0

Dimensions of (mu_(0) epsilon_0)^(-1/2) are :

Show that the force on each plate of a parallel plate capacitor has a magnitude equal to (1/2) QE, where Q is the charge on the capacitor, and E is the magnitude of electric field between the plates. Explain the origin of the factor 1/2.

Show that the electric field at the surface of a charged conductor is given bu vecE = sigma/epsilon_0 hatn , where sigma is the surface charge density and hatn is a unit vector normal to the surface in the outward direction.

JBD PUBLICATION-PHYSICAL WORLD AND MEASUREMENT-EXAMPLE
  1. The diemnsion of energy density,1/2 epsilon0 E^2, where elipson0 is pe...

    Text Solution

    |

  2. What is the dimensional formula of electric field intensity ?

    Text Solution

    |

  3. State whether the equation y = y0 sng (2pi)/v t is correct,where t is ...

    Text Solution

    |

  4. Are all constants dimensioneless?Give examples in your support.

    Text Solution

    |

  5. Give an example of a physical quantity which has a unit but no dimensi...

    Text Solution

    |

  6. Can a quantity have units but still be dimensinoless?

    Text Solution

    |

  7. Can a physicl quantity have dimensions but no units?

    Text Solution

    |

  8. How is Avogadro's number denoted ?

    Text Solution

    |

  9. Name two physical quantities which have same dimensions as that of lig...

    Text Solution

    |

  10. Can a physical quanitty have different dimensions in different systems...

    Text Solution

    |

  11. Which of the following has same dimensions as heat?Work,torque,surface...

    Text Solution

    |

  12. What is science ?

    Text Solution

    |

  13. Is phyhsics,philosophy of mathematical sceince?

    Text Solution

    |

  14. Is SI system a coherent one?

    Text Solution

    |

  15. Dooverset @ A and A.U. stand fo rthe same length?

    Text Solution

    |

  16. What is the order of size of a glaxy?

    Text Solution

    |

  17. What is the order of magnitude of light year in etre?

    Text Solution

    |

  18. What is the shortest disctance measured indirectly so far?

    Text Solution

    |

  19. How are pitch and least count of a screw gauge related to each other?

    Text Solution

    |

  20. What is the order of mass of the universe?

    Text Solution

    |

  21. What is the smallest mass measured indirectly so far?

    Text Solution

    |