1.

    A hypothetical equation is given as ρ=aP+bT2\rho = a \sqrt{P} + bT^2, where ρ\rho is density, PP is pressure, and TT is temperature. The dimensions of ab\frac{a}{b} are:

    A

    [M−1/2^{-1/2} L1/2^{1/2} T1^{1} \Theta2^{2}]

    B

    [M1/2^{1/2} L−1/2^{-1/2} T−1^{-1} \Theta−2^{-2}]

    C

    [M L−3^{-3} \Theta−2^{-2}]

    D

    [M1/2^{1/2} L−5/2^{-5/2} T1^{1}]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Principle of Homogeneity, Dimensional Analysis

    Related Questions

    1.

    Which of the following system of units is not based on units of mass, length and time alone

    A

    SI

    B

    MKS

    C

    FPS

    D

    CGS

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Units of Measurement, Fundamental Units, SI Units

    2.

    The unit of angular acceleration in the SI system is

    A

    N  kg−1N\;k{g^{ - 1}}

    B

    ms−2m{s^{ - 2}}

    C

    rad  s−2rad\;{s^{ - 2}}

    D

    m  kg−1Km\;k{g^{ - 1}}K

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :angular acceleration, SI units

    3.

    SI unit of permittivity is

    A

    C2m2N2{{\rm{C}}^2}{{\rm{m}}^2}{{\rm{N}}^2}

    B

    C2m−2N−1{{\rm{C}}^2}{{\rm{m}}^{ - 2}}{{\rm{N}}^{ - 1}}

    C

    C2m2N−1{{\rm{C}}^2}{{\rm{m}}^2}{{\rm{N}}^{ - 1}}

    D

    C−1m2N−2{{\rm{C}}^{ - 1}}{{\rm{m}}^2}{{\rm{N}}^{ - 2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Permittivity, Coulomb's Law, SI Units

    4.

    The unit of surface tension in SI system is

    A

    Dyne/cm2Dyne/c{m^2}

    B

    Newton /m

    C

    Dyne/cm

    D

    Newton/m2Newton/{m^2}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Surface Tension, SI Units

    5.

    The SI unit of universal gas constant (R) is

    A

    Watt  K−1mol−1Watt\;{K^{ - 1}}mo{l^{ - 1}}

    B

    Newton  K−1mol−1Newton\;{K^{ - 1}}mo{l^{ - 1}}

    C

    Joule  K−1mol−1Joule\;{K^{ - 1}}mo{l^{ - 1}}

    D

    Erg  K−1mol−1Erg\;{K^{ - 1}}mo{l^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Universal gas constant, SI units, Energy units

    6.

    The unit of angular acceleration in the SI system is

    A

    N  kg−1N\;k{g^{ - 1}}

    B

    ms−2m{s^{ - 2}}

    C

    rad  s−2rad\;{s^{ - 2}}

    D

    m  kg−1Km\;k{g^{ - 1}}K

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :angular acceleration, SI units

    7.

    SI unit of electric intensity is

    A

    Coulomb

    B

    Coulomb/m2Coulomb/{m^2}

    C

    Newton

    D

    Newton/ coulomb

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Electric Intensity, SI Units

    8.

    The SI unit of electrochemical equivalent is

    A

    Kg C

    B

    C kg−1{\rm{C}}\,{\rm{k}}{{\rm{g}}^{ - 1}}

    C

    Kg C−1{\rm{Kg}}\,{{\rm{C}}^{ - 1}}

    D

    kg2C−1{\rm{k}}{{\rm{g}}^2}{{\rm{C}}^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Understanding
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Electrochemical equivalent, SI units, dimensional analysis

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