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 is not equal to watt

    A

    joule/second

    B

    ampere imesimes volt

    C

    (ampere)2imesohm{(ampere)^2} imes ohm

    D

    ampere/volt

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :power, watt, joule, second, ampere, volt, ohm

    2.

    One slug is equivalent to 14.6 kg. A force of 10 pound is applied on a body of 1 kg. The acceleration of the body is

    A

    44.5 ms−244.5\,m{s^{ - 2}}

    B

    4.448 ms−24.448\,m{s^{ - 2}}

    C

    44.4 ms−244.4\,m{s^{ - 2}}

    D

    None of these

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

    3.

    What will be the unit of time in that system in which the unit of length is metre, unit of mass is kg and unit of force is kg wt?

    A

    (9.8)2 sec⁡{\left( {9.8} \right)^2}\,\sec

    B

    9.8 sec

    C

    9.8 sec⁡\sqrt {9.8} \,\sec

    D

    19.8 sec⁡\frac{1}{{\sqrt {9.8} }}\,\sec

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Units and Dimensions, Force, Newton's Second Law

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