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.

    Volt/metre is the unit of

    A

    Potential

    B

    Work

    C

    Force

    D

    Electric intensity

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

    2.

    The damping force of an oscillating particle is observed to be proportional to velocity. The constant of proportionality can be measured in

    A

    Kg s−1{s^{ - 1}}

    B

    Kg S

    C

    Kg ms−1{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    Kg m−1s−1{{\rm{m}}^{ - 1}}{{\rm{s}}^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Damping force, Units of measurement, Dimensional analysis

    3.

    Which of the following is the smallest unit

    A

    Millimetre

    B

    Angstrom

    C

    Fermi

    D

    Metre

    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, Metric System, Scientific Notation

    4.

    The unit of permittivity of free space ε0{\varepsilon _0} is

    A

    C²/N⋅m²

    B

    F/m

    C

    N⋅m²/C²

    D

    H/m

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

    5.

    The unit of specific resistance is

    A

    Ohm/cm2Ohm/c{m^2}

    B

    Ohm/cm

    C

    Ohm-cm

    D

    (Ohm−cm)−1{(Ohm - cm)^{ - 1}}

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

    6.

    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

    7.

    The damping force of an oscillating particle is observed to be proportional to velocity. The constant of proportionality can be measured in

    A

    Kg s−1{s^{ - 1}}

    B

    Kg S

    C

    Kg ms−1{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    Kg m−1s−1{{\rm{m}}^{ - 1}}{{\rm{s}}^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Damping force, Units of measurement, Dimensional analysis

    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.

    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

    10.

    Which of the following cannot be regarded as an essential characteristic of a unit of measurement?

    A

    Inaccessibility

    B

    Indenstructibility

    C

    Invariability

    D

    Reproductibility

    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, Essential Characteristics

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