1.

    A chemist measures a reaction rate as 2.5imes10−32.5 imes 10^{-3} mol L−1^{-1} s−1s^{-1}. Express this rate in molecules cm−3cm^{-3} μs−1\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 cm−3cm^{-3} μs−1\mu s^{-1}

    B

    2.5imes10182.5 imes 10^{18} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    C

    1.5imes10151.5 imes 10^{15} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    D

    4.2imes10204.2 imes 10^{20} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Unit Conversion, Reaction Rate, Avogadro's Number

    Related Questions

    1.

    The equation of alternating current is I=I0e−t/CRI = {I_0}{e^{ - t/CR}}, where t is time, C is capacitance and R is resistance of coil, then the dimensions of C R is

    A

    [MLT−1]\left[ {{\rm{ML}}{{\rm{T}}^{ - 1}}} \right]

    B

    [M0LT]\left[ {{{\rm{M}}^0}{\rm{LT}}} \right]

    C

    [M0L0T]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{\rm{T}}} \right]

    D

    None of these

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional analysis, Exponential function

    2.

    Force constant has the same dimensions as

    A

    Coefficient of viscosity

    B

    Surface tension

    C

    Frequency

    D

    Impulse

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Force constant, Dimensions, Surface tension, Dimensional analysis

    3.

    If E,m,J and G represent energy, mass, angular momentum and gravitational constant respectively, then the dimensional formula of EJ2/m5G2E{J^2}/{m^5}{G^2} is

    A

    [MLT−2]\left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}} \right]

    B

    [M0L0T]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{\rm{T}}} \right]

    C

    [M0L2T0]\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{{\rm{T}}^0}} \right]

    D

    Dimensionless

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional Analysis, Energy, Angular Momentum, Gravitational Constant

    4.

    The dimension of 1ε0μ0\frac{1}{{\sqrt {{\varepsilon _0}{\mu _0}} }} is that of

    A

    Velocity

    B

    Time

    C

    Capacitance

    D

    Distance

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Electromagnetism, Permittivity, Permeability, Velocity of light, Dimensional Analysis

    5.

    The physical quantity that has no dimensions is

    A

    Angular Velocity

    B

    Linear momentum

    C

    Angular momentum

    D

    Strain

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Remembering
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Dimensional Analysis, Strain

    6.

    Dimensional formula of Stefan’s constant is

    A

    [MT−3K−4]\left[ {{\rm{M}}{{\rm{T}}^{ - 3}}{{\rm{K}}^{ - 4}}} \right]

    B

    [ML2T−2K−4]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{K}}^{ - 4}}} \right]

    C

    [ML2T−2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    D

    [MT−2L0]\left[ {{\rm{M}}{{\rm{T}}^{ - 2}}{{\rm{L}}^0}} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Stefan-Boltzmann Law, Dimensional Analysis

    7.

    The dimensional formula for entropy is

    A

    [MLT−2K−1]\left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}{{\rm{K}}^{ - 1}}} \right]

    B

    [ML2T−2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    C

    [ML2T−2K−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{K}}^{ - 1}}} \right]

    D

    [ML−2T−2K−1]\left[ {M{L^{ - 2}}{T^{ - 2}}{K^{ - 1}}} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :entropy, dimensional analysis, units

    8.

    Dimensions of frequency are

    A

    M0L−1T0{M^0}{L^{ - 1}}{T^0}

    B

    M0L0T−1{M^0}{L^0}{T^{ - 1}}

    C

    M0L0T{M^0}{L^0}T

    D

    MT−2M{T^{ - 2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :frequency, dimensional analysis

    9.

    The dimensions of surface tension are

    A

    ML−1T−2M{L^{ - 1}}{T^{ - 2}}

    B

    MLT−2ML{T^{ - 2}}

    C

    ML−1T−1M{L^{ - 1}}{T^{ - 1}}

    D

    MT−2M{T^{ - 2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :surface tension, dimensional analysis

    10.

    The dimensions of resistivity in terms of M,L,T and Q where Q stands for the dimensions of charge, is

    A

    ML3T−1Q−2M{L^3}{T^{ - 1}}{Q^{ - 2}}

    B

    ML3T−2Q−1M{L^3}{T^{ - 2}}{Q^{ - 1}}

    C

    ML2T−1Q−1M{L^2}{T^{ - 1}}{Q^{ - 1}}

    D

    MLT−1Q−1ML{T^{ - 1}}{Q^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Resistivity, Dimensional Analysis, Ohm's Law, Electric Field, Current

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