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    2.

    The dimensional formula of 1Ξ΅0e2hc\frac{1}{{{\varepsilon _0}}}\frac{{{e^2}}}{{hc}} is

    A

    [M0L0T0A0]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^0}{{\rm{A}}^0}} \right]

    B

    [Mβˆ’1L3T2A]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^2}{\rm{A}}} \right]

    C

    [ML3Tβˆ’4Aβˆ’2]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^{ - 4}}{{\rm{A}}^{ - 2}}} \right]

    D

    [Mβˆ’1Lβˆ’3T4]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^{ - 3}}{{\rm{T}}^4}} \right]

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    5.

    The constant of proportionality 14πΡ0β€…β€Š\frac{1}{{4{\rm{\pi }}{{\rm{\varepsilon }}_0}}}\; in Coulomb’s law has the following units

    A

    Cβˆ’2Nm2{{\rm{C}}^{ - 2}}{\rm{N}}{{\rm{m}}^2}

    B

    C2Nβˆ’1mβˆ’2{{\rm{C}}^2}{{\rm{N}}^{ - 1}}{{\rm{m}}^{ - 2}}

    C

    C2Nm2{{\rm{C}}^2}{\rm{N}}{{\rm{m}}^2}

    D

    Cβˆ’2Nβˆ’1mβˆ’2{{\rm{C}}^{ - 2}}{{\rm{N}}^{ - 1}}{{\rm{m}}^{ - 2}}

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