1.

    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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    5.

    The dimensions of power are

    A

    M1L2T3{M^1}{L^2}{T^{ - 3}}

    B

    M2L1T2{M^2}{L^1}{T^{ - 2}}

    C

    M1L2  T1{M^1}{L^2}\;{T^{ - 1}}

    D

    M1L1T2{M^1}{L^1}{T^{ - 2}}

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    8.

    Dimensional formula for the universal gravitational constant G is

    A

    [M1L2T2]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    B

    [M0L0T0]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^0}} \right]

    C

    [M1L3T2]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^{ - 2}}} \right]

    D

    [M1L3T1]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^{ - 1}}} \right]

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    9.

    The dimensions of RL\frac{R}{L} are

    [here, R=electric resistance, L=self inductance]

    A

    [T2]\left[ {{{\rm{T}}^{ - 2}}} \right]

    B

    [T1]\left[ {{{\rm{T}}^{ - 1}}} \right]

    C

    [ML1]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}} \right]

    D

    [T]\left[ T \right]

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