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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    2.

    Coefficient of thermal conductivity has the dimensions

    A

    [MLT3K1]\left[ {{\rm{ML}}{{\rm{T}}^{ - 3}}{{\rm{K}}^{ - 1}}} \right]

    B

    [ML3T3K2]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^3}{{\rm{K}}^2}} \right]

    C

    [ML3T3K2]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^{ - 3}}{{\rm{K}}^{ - 2}}} \right]

    D

    [M2L3T3K2]\left[ {{{\rm{M}}^2}{{\rm{L}}^3}{{\rm{T}}^{ - 3}}{{\rm{K}}^2}} \right]

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    3.

    Dimensions of bulk modulus are

    A

    [M1LT2]\left[ {{{\rm{M}}^{ - 1}}{\rm{L}}{{\rm{T}}^{ - 2}}} \right]

    B

    [ML1T2]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{{\rm{T}}^{ - 2}}} \right]

    C

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

    D

    [M2L2T1]\left[ {{{\rm{M}}^2}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}} \right]

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    6.

    The dimension of the ratio of angular momentum to linear momentum is

    A

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

    B

    [ML2T1]\left[ {M{L^2}{T^{ - 1}}} \right]

    C

    [M0LT0]\left[ {{M^0}L{T^0}} \right]

    D

    [M1L1T1]\left[ {{M^{ - 1}}{L^{ - 1}}{T^{ - 1}}} \right]

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    8.

    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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