Home
Class 11
PHYSICS
Dimension of (1)/(2)epsi(0)E^(2) is........

Dimension of `(1)/(2)epsi_(0)E^(2)` is...... `epsi_(0)` permittive of vaccum
E= electric field

A

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

B

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

C

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

D

`MLT^(-1)`

Text Solution

Verified by Experts

`(1)/(2)epsi_(0)E^(2)` is equation of energy density
`:. [(1)/(2)epsi_(0)E^(2)]=(["Energy"])/(["Volume"])`
`=(ML^(2)T^(-2))/(L^(3))`
`=ML^(-1)T^(-2)`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise Section -F (Questions from Module )|20 Videos

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise SECTION -D (NECERT EXEMPLAR SOLUTIONS) (Long Answer Type Questions)|9 Videos

  • THERMODYANMICS

    KUMAR PRAKASHAN|Exercise Question Paper|11 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-F (Questions From Module) (Sample questions for preparation of competitive exams)|23 Videos

Similar Questions

Explore conceptually related problems

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

Dimension of [mu_(0)epsi_(0)]^(-(1)/(2)) ....

Eight charges, each of magnitude q are placed at the vertices of a cube placed in vacuum. Electric potential at the centre of the cube due to this system of charges is ..... (epsi_0 0 is permittivity of vacuum and a is length of each side of the cube)

The dimensions of (mu_0 in _0)^(-1//2) are :-

(a) In the formula X=3YZ^(2) , X and Z have dimensions of capcitnce and magnetic inlduction, respectively. What are the dimensions of Y in MKSQ system? (b) A qunatity X is given by epsilon_(0) L ((Delta)V)/((Delta)r) , where epsilon_(0) is the permittivity of free space, L is a lenght, DeltaV is a potential difference and Deltat is a time interval. Find the dimensions of X . (c) If E,M,J and G denote energy , mass , angular momentum and gravitational constant, respectively. find dimensons of (E J^(2))/(M^(5) G^(2)) (d) If e,h,c and epsilon_(0) are electronic charge, Planck 's constant speed of light and permittivity of free space. Find the dimensions of (e^(2))/(2epsilon_(0)hc) .

Find the dimension of the quantity (1)/(4pi epsilon_(0))(e^(2))/(hc) , the letters have their usual meaning , epsilon_(0) is the permitivity of free space, h, the Planck's constant and c, the velocity of light in free space.

Using the formula for the radius of nth orbit r_(n)=(n^(2)h^(2)epsi_(0))/(pi mZe^(2)) derive an expression for the total energy of electron in n^(th) Bohr's orbit.

An EM wave from air enters a medium. The electric fields are vec(E )_(1)=E_(01)hat(x)cos[2pi v((z)/(c )-t)] in air and vec(E )_(2)=E_(02)hat(x)cos [k(2z-ct)] in medium, where the wave number k and frequency v refer to their values in air. The medium is non - magnetic. If in_(r_(1)) and in_(r_(2)) refer to relative permittivities of air and medium respectively, which of the following options is correct ?

The dimension of (B^2)/( 2mu_0) , where B is magnetic field and mu_0 is the magnetic permeability of vacuum is

An EM wave radiates outwards from a dipole antenna, with E_(0) as the amplitude of its electric field vector. The electric field E_(0) which transports significant energy from the source falls off as

KUMAR PRAKASHAN-UNITS AND MEASUREMENT-SECTION -E (MULTIPLE CHOICE QUESTIONS (MCQS) (MCQS ASKED IN GUJARAT BOARD AND COMPETITIVE EXAMS)
  1. Which of the following pair do not have same dimension?

    Text Solution

    |

  2. A cylindrical rod having temperature T(1) and T(2) at its end. The rat...

    Text Solution

    |

  3. SI unit of Stefan-Boltzmaan constant is . . .. . . .

    Text Solution

    |

  4. Which of the following is unit of permitivity of vaccum ?

    Text Solution

    |

  5. Ratio of unit of Planck's constant and moment of inertia will give whi...

    Text Solution

    |

  6. Velocity of a particle at time t is given by v=at+(b)/(t+c)a,b, care c...

    Text Solution

    |

  7. If mass, length, time and electric current is represented as M, L, T, ...

    Text Solution

    |

  8. If the error in measurement of radius of a shpere is 2% then the error...

    Text Solution

    |

  9. Which of the following two parameter have same dimension? (a) energ...

    Text Solution

    |

  10. Dimension of a physical quantity is M^(a)L^(b)T^(c), then it is ......

    Text Solution

    |

  11. Dimension of (1)/(2)epsi(0)E^(2) is...... epsi(0) permittive of vaccum...

    Text Solution

    |

  12. Dimension of [mu(0)epsi(0)]^(-(1)/(2))....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. In dimension of critical velocity v(c) of liquid following through a t...

    Text Solution

    |

  16. If Plank constant (h) speed of free space light (c) and Newton gravita...

    Text Solution

    |

  17. A student perform experiment to measure thickness of slab by using ver...

    Text Solution

    |

  18. In an experiment four quantities a,b,c and d are measured with percent...

    Text Solution

    |

  19. The density of a material in the shape of a cube is determined by meas...

    Text Solution

    |

  20. A student measured the diameter of a small steel ball using a screw ga...

    Text Solution

    |