1.

    What is the dimensional formula of mc2m{c^2}, where the letters have their usual meanings?

    A

    [MLT1]\left[ {{\rm{ML}}{{\rm{T}}^{ - 1}}} \right]

    B

    [ML0T0]\left[ {{\rm{M}}{{\rm{L}}^0}{{\rm{T}}^0}} \right]

    C

    [ML2T2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    D

    [M1L3T6]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^6}} \right]

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    3.

    The dimensions of resistivity in terms of M,L,T and Q where Q stands for the dimensions of charge, is

    A

    ML3T1Q2M{L^3}{T^{ - 1}}{Q^{ - 2}}

    B

    ML3T2Q1M{L^3}{T^{ - 2}}{Q^{ - 1}}

    C

    ML2T1Q1M{L^2}{T^{ - 1}}{Q^{ - 1}}

    D

    MLT1Q1ML{T^{ - 1}}{Q^{ - 1}}

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    4.

    Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be

    A

    [ML2T3I1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{I}}^{ - 1}}} \right]

    B

    [ML2T2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    C

    [ML2T1I1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}{{\rm{I}}^{ - 1}}} \right]

    D

    [ML2T3I2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{I}}^{ - 2}}} \right]

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