Home
Class 11
PHYSICS
Dimension of (1)/(mu(0)epsilon(0)) is, w...

Dimension of `(1)/(mu_(0)epsilon_(0))` is, where symbols have usual meaning,

A

`[L^(-1)T]`

B

`[L^(2)T^(2)]`

C

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

D

`[LT^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
C

As we know that formula of velocity is
`v=(1)/sqrt(mu_(0)epsilon_(0))rArr v^(2)=1/(mu_(0)epsilon_(0))=[LT^(-1)]^(2)`
`:. (1)/(mu_(0)epsilon_(0))=[L^(2)T^(-2)]`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Exersice -05(B)|20 Videos
  • MISCELLANEOUS

    ALLEN |Exercise Exercise-02|77 Videos
  • MISCELLANEOUS

    ALLEN |Exercise Exersice-4[B]|14 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|7 Videos

Similar Questions

Explore conceptually related problems

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

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.

Derive graphically s = ut + (1)/(2) at ^(2), where symbols have their usual meaning.

Show that the magnetic field B at a point in between the plates of a parallel plate capacitor during charging is B=(mu_(0)in_(0)r)/(2).(dE)/(dt) (symbols having usual meaning).

Derive graphically v ^(2) = u ^(2) + 2as, where symbols have their usual meaning.

(a) Show that for a projectile the angle between the velocity and the x - axis as a function of time is given by theta(t)="tan"^(-1)((v_(0y)-"gt")/(v_(@)x)) (b) Shows that the projection angle theta_(@) for a projectile launched from the origin given by theta_(0)=tan^(-1)((4h_(m))/(R)) where the symbols have their usual meaning.

Which of the following relation cannot be deduced using dimensional analysis ? [the symbols have their usual meanings]

The domain of the function f(x)=""^(16-x)C_(2x-1+ ^(20-3x)P_(4x-5) , where the symbols have their usual meanings, is the set

The dimensional formula of mu_(0) in_(0) is ……..