Home
Class 11
PHYSICS
The dimensions of 1/2 epsilon(0)E^(2) (e...

The dimensions of `1/2 epsilon_(0)E^(2) (epsilon_(0)=` permittivity of free space, `E=` electric field) is

A

`[MLT^(-1)]`

B

`[ML^(2)T^(-2)]`

C

`[ML^(-1)T^(-2)]`

D

`[ML^(2)T^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
C

`1/2 in_(0) E^(2)-[M^(-1)L^(-3)T^(4)I^(2)][M^(2)L^(2)T^(-6)I^(-2)]=[M^(1)L^(-1)T^(-2)]`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-02|77 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Exercise-03|1 Videos
  • MISCELLANEOUS

    ALLEN|Exercise EXERCISE-5(A)|15 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 dimension of ((1)/(2))epsilon_(0)E^(2) ( epsilon_(0) : permittivity of free space, E electric field

The dimensions of (1)/(2) in_(0) E^(2) , where in_0 is permittivity of free space and E is electric field, is :-

The dimensions of epsilon_(0)mu_(0) are

Dimension of epsilon_(0) are

epsilon_(0)E^(2) has the dimensions of ( epsilon_(0)= permittivity of free space, E= electric field) Here k= Boltzmann consant T= absolute temperature R= universal gas constant.

varepsilon_(0)E^(2) has the dimension of ( varepsilon_(0) = permittivity of free space, E = electric field)

The dimensions of (1)/(epsilon_(0))(e^(2))/(hc) are

The dimensions of (mu_(0)epsilon_(0))^(-1//2) are

ALLEN-MISCELLANEOUS-Exersice -05(B)
  1. Planck's constant has dimensions …………….

    Text Solution

    |

  2. In the formula X = 3YZ^(2),X and Z have dimensions of capacitance and ...

    Text Solution

    |

  3. The dimensions of electrical conductivity is …………

    Text Solution

    |

  4. The equation of state of a real gas is given by (P+a/V^(2)) (V-b)=RT ...

    Text Solution

    |

  5. (a) In the formula X=3YZ^(2), X and Z have dimensions of capcitnce and...

    Text Solution

    |

  6. The dimensions of 1/2 epsilon(0)E^(2) (epsilon(0)= permittivity of fre...

    Text Solution

    |

  7. A quantity X is given by in(0) L(DeltaV)/(Delta t), where in(0) is the...

    Text Solution

    |

  8. In the relation, P=alpha/beta e^((alphaZ)/(ktheta))P is pressure, Z is...

    Text Solution

    |

  9. Which of the following sets have different dimensions ?

    Text Solution

    |

  10. L, C and R represent the physical quantities inductance, capacitance a...

    Text Solution

    |

  11. The dimensions of the quantities in one (or more) of the following pai...

    Text Solution

    |

  12. The pairs of physical quantities that have the same dimensions is (are...

    Text Solution

    |

  13. Let [epsilon(0)] denote the dimensional formula of the permittivity of...

    Text Solution

    |

  14. The SI unit of the inductance, the henry can by written as-

    Text Solution

    |

  15. Column-1 gives three physical quantities. Select the appropriate units...

    Text Solution

    |

  16. Match the physical quantities given on column I with dimensions expres...

    Text Solution

    |

  17. Some physical quanties are given in Column I and some possible SI unit...

    Text Solution

    |

  18. Match List I with List II and select the correct answer using the code...

    Text Solution

    |

  19. During Searle's experiment, zero of the Vernier sacle lies between 3.2...

    Text Solution

    |

  20. To find the distance d over which a signal can be seen clearly in fogg...

    Text Solution

    |