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    3.

    A physical quantity of the dimensions of length that can be formed out of c, G and is [c is velocity of light, G is universal constant of gravitation and e is charge]

    A

    c2[Ge24πε0]1/2{c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}

    B

    1c2[e2G4πε0]1/2\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}

    C

    1cGe24πε0\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}

    D

    1c2[Ge24πε0]1/2\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}

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    4.

    The dimensional formula for the magnetic field is

    A

    [MT2A1]\left[ {{\rm{M}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 1}}} \right]

    B

    [ML2T1A2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}{{\rm{A}}^{ - 2}}} \right]

    C

    [MT2A2]\left[ {{\rm{M}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 2}}} \right]

    D

    [MT1A2]\left[ {{\rm{M}}{{\rm{T}}^{ - 1}}{{\rm{A}}^{ - 2}}} \right]

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    5.

    If force (F), mass (M), length (L) are taken as fundamental quantities, dimensions of the time will be

    A

    [MLF]\left[ {MLF} \right]

    B

    [MLF1]\left[ {ML{F^{ - 1}}} \right]

    C

    [M1/2L1/2F1/2]\left[ {{M^{1/2}}{L^{1/2}}{F^{1/2}}} \right]

    D

    [M1/2L1/2F1/2]\left[ {{M^{1/2}}{L^{1/2}}{F^{ - 1/2}}} \right]

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    6.

    Dimensions of magnetic field intensity is

    A

    [M0L1T0A1]\left[ {{M^0}{L^{ - 1}}{T^0}{A^1}} \right]

    B

    [MLT1A1]\left[ {ML{T^{ - 1}}{A^{ - 1}}} \right]

    C

    [ML0T2A1]\left[ {M{L^0}{T^{ - 2}}{A^{ - 1}}} \right]

    D

    [MLT2A]\left[ {ML{T^{ - 2}}A} \right]

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    7.

    The physical quantities not having same dimensions are

    A

    Torque and work

    B

    Momentum and Planck’s constant

    C

    Stress and Young’s modules

    D

    Speed and (μ0ε0)1/2{\left( {{{\rm{\mu }}_0}{{\rm{\varepsilon }}_0}} \right)^{ - 1/2}}

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    10.

    The dimensions of emf in MKS is

    A

    [ML1T2Q2]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{{\rm{T}}^{ - 2}}{{\rm{Q}}^{ - 2}}} \right]

    B

    [ML2T2Q2]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 2}}{{\rm{Q}}^{ - 2}}} \right]

    C

    [MLT2Q1]\left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}{{\rm{Q}}^{ - 1}}} \right]

    D

    [ML2T2Q1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{Q}}^{ - 1}}} \right]

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