Related Questions

    1.

    The dimensions of universal gravitational constant are

    A

    M2L2T2{M^{ - 2}}{L^2}{T^{ - 2}}

    B

    M1L3T2{M^{ - 1}}{L^3}{T^{ - 2}}

    C

    ML1T2M\,{L^{ - 1}}{T^{ - 2}}

    D

    ML2T2M\,{L^2}{T^{ - 2}}

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    3.

    What are the dimensions of Planck's constant?

    A

    [MLT1][MLT^{-1}]

    B

    [ML2T1][ML^2T^{-1}]

    C

    [MLT2][MLT^{-2}]

    D

    [ML2T2][ML^2T^{-2}]

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    5.

    Dimensions of permeability are

    A

    A2M1L1T2{A^{ - 2}}{M^1}{L^1}{T^{ - 2}}

    B

    MLT2ML{T^{ - 2}}

    C

    ML0T1M{L^0}{T^{ - 1}}

    D

    A1MLT2{A^{ - 1}}ML{T^2}

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    6.

    The work done by a battery is W=εΔqW = \varepsilon \Delta q , where Δq\Delta q charge transferred by battery, ε\varepsilon = emf of the battery. What are dimensions of emf of battery?

    A

    [M0L0T2A2]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 2}}} \right]

    B

    [ML2T3A2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{A}}^{ - 2}}} \right]

    C

    [M2L0T3A0]\left[ {{{\rm{M}}^2}{{\rm{L}}^0}{{\rm{T}}^{ - 3}}{{\rm{A}}^0}} \right]

    D

    [ML2T3A1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{A}}^{ - 1}}} \right]

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    8.

    If the velocity of light (C)\left( C \right) gravitational constant (G)\left( G \right) and Planck’s constant hh are chosen as fundamental units,then the dimensions of mass in new system is

    A

    C1/2G1/2h1/2{C^{1/2}}\,\,{G^{1/2}}\,\,{h^{1/2}}

    B

    C1/2G1/2h1/2{C^{1/2}}\,\,{G^{1/2}}\,\,{h^{ - 1/2}}

    C

    C1/2G1/2h1/2{C^{1/2}}\,\,{G^{ - 1/2}}\,\,{h^{1/2}}

    D

    C1/2G1/2h1/2{C^{ - 1/2}}\,\,{G^{1/2}}\,\,{h^{1/2}}

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    9.

    The dimensional formula of permeability of free space μ0\mu_0 is given by:

    A

    [MLT2A2][MLT^{-2}A^{-2}]

    B

    [ML1T2A2][ML^{-1}T^{-2}A^{-2}]

    C

    [MLT2A2][MLT^{-2}A^{2}]

    D

    [M1L1T2A2][M^{-1}L^{-1}T^{2}A^{2}]

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