Home
Class 12
PHYSICS
The dimensions of (1)/(2)epsilon(0)E^(2)...

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

A

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

B

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

C

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

D

`[MLT^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE- 1 B|28 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -2|56 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise PROBLEM|50 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 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 dimension of ((1)/(2))epsilon_(0)E^(2) ( epsilon_(0) : permittivity of free space, E electric field

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

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

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

A wire of length L= 20 cm is bent into a semicircular arc and the two equal halves of the arc are uniformly charged with charges +Q and -Q as shown in the figure. The magnitude of the charge on each half is |Q| =10^(3) epsilon_(0) , where epsilon_(0) is the permittivity of free the space. The net electric field at the center O is

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

The quantity X = (epsilon_(0)LV)/(t) where epsilon_(0) is the permittivity of free space, L is length, V is the potential difference and t is time. The dimensions of X are the same as that of

A quantity X is given by epsilon_(0) L(DeltaV)/(Deltat) , where epsilon_(0) is the permittivity of free space L is a length DeltaV is a potnetial difference and Delta is a time internval. The dimensional forumla to X is the same as that of

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.

AAKASH SERIES-UNITS AND MEASUREMENTS-EXERCISE -1 A
  1. Which two of the following five physical paramenters have the same dim...

    Text Solution

    |

  2. If the dimensions of a physical quantity are given by ["M"^(a)"L"^(b)"...

    Text Solution

    |

  3. The dimensions of (1)/(2)epsilon(0)E^(2), where epsilon(0) is permitti...

    Text Solution

    |

  4. A student measures the distance traversed in free fall of a body, init...

    Text Solution

    |

  5. The density of material in CGS system of mass is 4g cm^(3) in a system...

    Text Solution

    |

  6. The damping force on an oscillator is directly proportional to the vel...

    Text Solution

    |

  7. If force (F), velocity (v)and time (T) are taken as fundamental units,...

    Text Solution

    |

  8. If energy (E), velocity (v) and time (T) are chosen as the fundamental...

    Text Solution

    |

  9. Planck 's constant (h) speed of length in vaccum (C) and newton 's gr...

    Text Solution

    |

  10. A) Work and energy have the same units in any given system of measurem...

    Text Solution

    |

  11. A standard unit should be (a) consistent (b) reproducible (c) ...

    Text Solution

    |

  12. The correct order in which the ratio of SI unit to CGS unit increases ...

    Text Solution

    |

  13. Write the ascending order of the units of length given below . (a) F...

    Text Solution

    |

  14. Out of the following the correct order of dimensions of mass increases...

    Text Solution

    |

  15. The correct order in which the dimensions of time decreases in the fol...

    Text Solution

    |

  16. The time period of a seconds pendululm is measured repeatedly for thre...

    Text Solution

    |

  17. (A) All zeros to the right of the last nonzero digit after the decimal...

    Text Solution

    |

  18. If the immediate insignificant digit to be dropped is 5 then there wil...

    Text Solution

    |

  19. A) In multiplication or division, the final result should retain only ...

    Text Solution

    |

  20. The correct order in which the dimensions of 'Length" increases in the...

    Text Solution

    |