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Let [epsilon0] denote the dimensional fo...

Let `[epsilon_0]` denote the dimensional formula of the permittivity of vacuum . If M = mass,L= length, T = time and A = electric current,then

A

`[epsilon_0] = [M^-1 L^-3T^2A]`

B

`[epsilon_0] = [M^-1 L^-3T^4A^2]`

C

`[epsilon_0] = [M^-2 L^2T^-1A^-2]`

D

`[epsilon_0] = [M^-1 L^2T^-1A^2]`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Let [epsilon_0] denote the dimensional formula of the permittivity of the vacuum, and (mu_0) that permeability of the vacuum, If M=mass,L=length,T=time and i+electric current, then

    A
    `[epsilon_0]=M^-1 L^-3 T^2 l`
    B
    `[epsilon_0=M^-1 L^-3 T^4 l^2`
    C
    `[mu_0]=MLT^-2 l^-2`
    D
    `[mu_0]=ML^2 T^-1 l`

  • in_0 E^2 has the dimensions of ( in_0 = permittivity of free space, E = electric field) Here K = Boltzmann constant T = absolute temperature R = universal gas constant

    A
    volume
    B
    KT
    C
    R/T
    D
    all of these

  • An infinite line charge of uniform electric charge density X lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time t = 0, the space inside the cylinder is filled with a material of permittivity epsilon and electrical conductivity sigma . The electrical conduction in the material follows Ohm’s law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density j(t) at any point in the material ?

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    D

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