Related Questions

    1.

    If force is proportional to square of velocity, then the dimensions of proportionality constant are

    A

    [ML1T]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{\rm{T}}} \right]

    B

    [ML1T0]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{{\rm{T}}^0}} \right]

    C

    [MLT0]\left[ {{\rm{ML}}{{\rm{T}}^0}} \right]

    D

    [M0LT1]\left[ {{{\rm{M}}^0}{\rm{L}}{{\rm{T}}^{ - 1}}} \right]

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    2.

    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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    4.

    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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    5.

    A chemist measures a reaction rate as 2.5imes1032.5 imes 10^{-3} mol L1^{-1} s1s^{-1}. Express this rate in molecules cm3cm^{-3} μs1\mu s^{-1} (molecules per cubic centimeter per microsecond). Avogadro's number = 6.022imes10236.022 imes 10^{23} molecules/mol.

    A

    1.5imes10121.5 imes 10^{12} molecules cm3cm^{-3} μs1\mu s^{-1}

    B

    2.5imes10182.5 imes 10^{18} molecules cm3cm^{-3} μs1\mu s^{-1}

    C

    1.5imes10151.5 imes 10^{15} molecules cm3cm^{-3} μs1\mu s^{-1}

    D

    4.2imes10204.2 imes 10^{20} molecules cm3cm^{-3} μs1\mu s^{-1}

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    6.

    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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