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.

    Dimension of R is

    A

    ML2T1M{L^2}{T^{ - 1}}

    B

    ML2T3A2M{L^2}{T^{ - 3}}{A^{ - 2}}

    C

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

    D

    None of these

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    3.

    The dimensional formula for Planck’s constant (h) is

    A

    ML2T3M{L^{ - 2}}{T^{ - 3}}

    B

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

    C

    ML2T1M{L^2}{T^{ - 1}}

    D

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

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    5.

    Dimensional formula for volume elasticity is

    A

    M1L2T2{M^1}{L^{ - 2}}{T^{ - 2}}

    B

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

    C

    M1L2T2{M^1}{L^2}{T^{ - 2}}

    D

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

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    6.

    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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    8.

    The dimensional formula of magnetic induction B is

    A

    [M0ALT0]\left[ {{{\rm{M}}^0}{\rm{AL}}{{\rm{T}}^0}} \right]

    B

    [M0AL1T0]\left[ {{{\rm{M}}^0}{\rm{A}}{{\rm{L}}^{ - 1}}{{\rm{T}}^0}} \right]

    C

    [M0AL2T0]\left[ {{{\rm{M}}^0}{\rm{A}}{{\rm{L}}^2}{{\rm{T}}^0}} \right]

    D

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

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