Home
Class 12
PHYSICS
If epsilon(0), B and V represent electri...

If `epsilon_(0), B` and `V` represent electric permittivity of free space, magnitude of magnetic field intensity and volume of space respectively, then the dimension of `epsilon_(0)B^(2)V` is `[M^(a)L^(b)T^(c)]`. Find `a+b+c`

Text Solution

Verified by Experts

The correct Answer is:
1

`epsilon_(0)VB^(2)-=(epsilonE^(2))/(v^(2))V [B-=E/v]`
`-=(u_(e))/(2v^(2))V-= ("Energy")/(("speed")^(2))-=` mass, so `a=1, b=0, c=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

If epsilon_(0), B, V represent permitivity of free space, magnitude of magnetic field and volume of space respectively, then the dimension of epsilon_(0)B^(2)V is [M^(a)L^(b)T^(c)] . Find a+b+c .

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

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

If epsilon_(0) is permittivity of free space, e is charge of proton, G is universal gravitational constant and m_(p) is mass of a proton then the dimensional formula for (e^(2))/(4pi epsilon_(0)Gm_(p)^(2)) is

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

If epsilon_0 and mu_0 are respectively the electric permittivity and the magnetic permeability of free space and epsilon and mu the corresponding quantities in a medium, the refractive index of the medium is

If epsilon_(0) and mu_(0) are, respectively, the electric permittivity and magnetic permeability of free space, epsilon and mu the corresponding quantities in a medium, the index of refraction of the medium in terms of the above parameters is "________________" .

If e, E_0, h and C respectively represents electronic change, permittively of free space, planks constant and speed of light then (e^2)/(E_0 hC) has the dimensions of A) angle " " B) relative density C) strain " " D) current

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