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.

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

    A

    Length and mass

    B

    Mass and time

    C

    Length, mass and time

    D

    None of these

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

    2.

    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

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