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.

    Unit of stress is

    A

    N/m

    B

    N-m

    C

    N/m2N/{m^2}

    D

    N−m2N - {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 :stress, units, force, area

    2.

    Unit of stress is

    A

    N/m

    B

    N-m

    C

    N/m2N/{m^2}

    D

    N−m2N - {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 :Stress, Units, Force, Area

    3.

    Temperature can be expressed as a derived quantity in terms of any of the following

    A

    Heat

    B

    Internal Energy

    C

    Mass and Velocity

    D

    None of the above

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

    4.

    The dimensions of calorie are

    A

    ML2T−2M{L^2}{T^{ - 2}}

    B

    MLT−2ML{T^{ - 2}}

    C

    ML2T−1M{L^2}{T^{ - 1}}

    D

    ML2T−3M{L^2}{T^{ - 3}}

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

    5.

    newton-second is the unit of

    A

    Velocity

    B

    Angular momentum

    C

    Momentum

    D

    Energy

    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, Momentum

    6.

    The unit of e.m.f. is

    A

    Joule

    B

    Joule-coulomb

    C

    Volt-coulomb

    D

    Joule/coulomb

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :electromotive force, energy, charge, units

    7.

    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

    8.

    Faraday is the unit of

    A

    Charge

    B

    Emf

    C

    Mass

    D

    Energy

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

    9.

    Unit of moment of inertia in MKS system

    A

    kgimescm2kg imes c{m^2}

    B

    kg/cm2{\rm{k}}g/c{m^2}

    C

    kgimesm2kg imes {m^2}

    D

    JouleimesmJoule imes m

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Moment of Inertia, Units, MKS System

    10.

    Light year is a unit of

    A

    Time

    B

    Mass

    C

    Distance

    D

    Energy

    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, Distance

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