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 density of a substance is given as 0.8 g/cm3cm^3. Convert this density to kg/m3m^3.

    A

    8 kg/m3m^3

    B

    80 kg/m3m^3

    C

    800 kg/m3m^3

    D

    8000 kg/m3m^3

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

    2.

    The physical quantity which has the dimensional formula [M1T−3]\left[ {{{\rm{M}}^1}{{\rm{T}}^{ - 3}}} \right] is

    A

    Surface tension

    B

    Density

    C

    Solar constant

    D

    Compressibility

    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, Solar Constant, Surface Tension, Density, Compressibility

    3.

    What is the dimensional formula of mc2m{c^2}, where the letters have their usual meanings?

    A

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

    B

    [ML0T0]\left[ {{\rm{M}}{{\rm{L}}^0}{{\rm{T}}^0}} \right]

    C

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

    D

    [M−1L3T6]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^6}} \right]

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

    4.

    Solar constant is defined as energy received by earth per cm2{\rm{c}}{{\rm{m}}^2} per minute. The dimensions of solar constant are

    A

    [ML2T−3]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}} \right]

    B

    [M2L0T−1]\left[ {{{\rm{M}}^2}{{\rm{L}}^0}{{\rm{T}}^{ - 1}}} \right]

    C

    [ML0T−3]\left[ {{\rm{M}}{{\rm{L}}^0}{{\rm{T}}^{ - 3}}} \right]

    D

    [MLT−2]\left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}} \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 :Dimensional Analysis, Energy, Area, Time

    5.

    What is the dimensional formula of planck s  constantlinear  momentum?\frac{{{\rm{planck}}\,{\rm{s\;constant}}}}{{{\rm{linear\;momentum}}}}?

    A

    [L]

    B

    [T]

    C

    [M]

    D

    [M L T]

    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, planck's constant, linear momentum

    6.

    The dimensions of K in the equation W=12  Kx2W = \frac{1}{2}\;K{x^2} is

    A

    M1L0T−2{M^1}{L^0}{T^{ - 2}}

    B

    M0L1T−1{M^0}{L^1}{T^{ - 1}}

    C

    M1L1T−2{M^1}{L^1}{T^{ - 2}}

    D

    M1L0T−1{M^1}{L^0}{T^{ - 1}}

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

    7.

    The dimensions of permittivity ε0{\varepsilon _0} are

    A

    A2T2M−1L−3{A^2}{T^2}{M^{ - 1}}{L^{ - 3}}

    B

    A2T4M−1L−3{A^2}{T^4}{M^{ - 1}}{L^{ - 3}}

    C

    A−2T−4ML3{A^{ - 2}}{T^{ - 4}}M{L^3}

    D

    A2T−4M−1L−3{A^2}{T^{ - 4}}{M^{ - 1}}{L^{ - 3}}

    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 :Permittivity, Dimensional Analysis, Coulomb's Law

    8.

    Which of the following quantities is dimensionless

    A

    Velocity

    B

    Acceleration

    C

    Force

    D

    Strain

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

    9.

    Young’s modulus of a material has the same units as

    A

    Pressure

    B

    Strain

    C

    Compressibility

    D

    Force

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Understanding
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Young's modulus, Pressure, Units, Dimensional Analysis

    10.

    The unit of expression μ0ε0{{\rm{\mu }}_0}{{\rm{\varepsilon }}_0} are

    A

    ms−1{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    m2s−2{{\rm{m}}^2}{{\rm{s}}^{ - 2}}

    C

    s2m−2{{\rm{s}}^2}{{\rm{m}}^{ - 2}}

    D

    sm−1{\rm{s}}{{\rm{m}}^{ - 1}}

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

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