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 one of the following is not a unit of Young’s modulus?

    A

    Nm−1{\rm{N}}{{\rm{m}}^{ - 1}}

    B

    Nm−2{\rm{N}}{{\rm{m}}^{ - 2}}

    C

    Dyne  cm−2{\rm{Dyne\;c}}{{\rm{m}}^{ - 2}}

    D

    Mega pascal

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Understanding
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Young's modulus, units, stress, strain, pressure

    2.

    Which of the following is not represented in correct unit

    A

    StressStrain=N/m2\frac{{{\rm{Stress}}}}{{{\rm{Strain}}}} = N/{m^2}

    B

    Surface tension =N/m

    C

    Energy =kg-m/sec

    D

    Pressure =N/m2 = N/{m^2}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Units, Stress, Strain, Surface Tension, Energy, Pressure

    3.

    If the equation P=FAP = \frac{F}{A} is dimensionally homogeneous, where PP is pressure, FF is force, and AA is area, what are the dimensions of pressure?

    A

    ML−1T−2ML^{-1}T^{-2}

    B

    MLT−2MLT^{-2}

    C

    ML−2T−2ML^{-2}T^{-2}

    D

    ML2T−2ML^2T^{-2}

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

    4.

    A pressure of 106{10^6} dyne cm−2{\rm{c}}{{\rm{m}}^{ - 2}} is equivalent to

    A

    105N  m−2{10^5}{\rm{N\;}}{{\rm{m}}^{ - 2}}

    B

    104  N  m−2{10^4}{\rm{\;N\;}}{{\rm{m}}^{ - 2}}

    C

    106N  m−2{10^6}{\rm{N\;}}{{\rm{m}}^{ - 2}}

    D

    107N  m−2{10^7}{\rm{N\;}}{{\rm{m}}^{ - 2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :pressure, unit conversion, dyne, newton, cm, m

    company logo

    NEET Subjects

    Our Bots

    Company