Home
Class 11
PHYSICS
If E is the electric field intensity eps...

If E is the electric field intensity `epsilon_(0)` is the permitivity of free space, then find dimensions of quantity `epsilon_(0) E^(2)`.

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)` = Energy density = `("Energy")/("Volume")= [M^(1)L^(-1)T^(-2)]`
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-II AIPMT (MAINS) 2010|1 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-II AIIMS 2010|1 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-II AIPMT 2009|1 Videos
  • MISCELLANEOUS

    ALLEN |Exercise Question|1 Videos
  • SEMICONDUCTORS

    ALLEN |Exercise Part-3(Exercise-4)|50 Videos

Similar Questions

Explore conceptually related problems

(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.

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

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, [E] and [B] stand for dimensions of electric and magnetic fields respectively. While [ in_(0)] and [mu_(0)] stand for dimensions of the permittivity and permeability of free space respectively. [L] and [T] are dimensions of length and time respectively. All the quantities are given in SI units. The relation between [E] adn [B] is :-

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, [E] and [B] stand for dimensions of electric and magnetic fields respectively. While [ in_(0)] and [mu_(0)] stand for dimensions of the permittivity and permeability of free space respectively. [L] and [T] are dimensions of length and time respectively. All the quantities are given in SI units. The relation between [in_(0)] " and " [mu_(0)] is :-

The electric field intensity produced by the radiations coming from 100 W bulb at a 3 m distance is E. The electric field intensity produced by the radiations coming from 50 W bulb at the same distance is: (a) (E )/(2) (b) 2E (c) (E )/(sqrt(2)) (d) sqrt(2)E

In terms of potential difference V, electric current I, permitivity epsi_(0) , permeability mu_(0) and speed of light c, the dimensionally correct equations (s) is (are) :

(a) 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)).n = sigma/epsilon_(0) where hatn is a unit vector normal to the surface at a point and sigma 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) . (b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss’s law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]

A hollow charged conductor has a tiny hole cut into its surface. Show that the electric field in the hold is (sigma)/(2pi epsilon_(0))hatn where hatn is the unit vector in the outward normal direction, and a is the surface charge density near the hole.

A quantity X is given by in_(0) L(DeltaV)/(Delta t) , where in_(0) is the permittivity of free space, L is a length, DeltaV is a potential difference and Delta t is a time interval. The dimensional formula for X is the same as that of -

ALLEN -PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT -EXERCISE-II AIPMT (PRE) 2010
  1. If E is the electric field intensity epsilon(0) is the permitivity of ...

    Text Solution

    |