1.

    The maximum static friction on a body is F=μNF = {\rm{\mu }}N. Here, N= normal reaction force on the body μ={\rm{\mu }} = coefficient of static friction. The dimensions of μ are

    A

    [MLT−2]\left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}} \right]

    B

    [M0L0T0heta−1]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^0}{{\rm{heta }}^{ - 1}}} \right]

    C

    Dimensionless

    D

    None of these

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :static friction, dimensional analysis

    Related Questions

    1.

    If force (F), mass (M), length (L) are taken as fundamental quantities, dimensions of the time will be

    A

    [MLF]\left[ {MLF} \right]

    B

    [MLF−1]\left[ {ML{F^{ - 1}}} \right]

    C

    [M1/2L1/2F1/2]\left[ {{M^{1/2}}{L^{1/2}}{F^{1/2}}} \right]

    D

    [M1/2L1/2F−1/2]\left[ {{M^{1/2}}{L^{1/2}}{F^{ - 1/2}}} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional Analysis, Fundamental Quantities, Force, Mass, Length, Time

    2.

    Out of the following pairs, which one does not have identical dimensions?

    A

    Angular momentum and Planck’s constant

    B

    Impulse and momentum

    C

    Moment of inertia and moment of a force

    D

    Work and torque

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional analysis, Angular momentum, Planck's constant, Impulse, Momentum, Moment of inertia, Moment of force, Work, Torque

    3.

    The dimensions of coefficient of self inductance are

    A

    [ML2T−2A−2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 2}}} \right]

    B

    [ML2T−2A−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 1}}} \right]

    C

    [MLT−2A−2]  \left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 2}}} \right]{\rm{\;}}

    D

    [MLT−2A−1]  \left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 1}}} \right]{\rm{\;}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :self inductance, dimensional analysis, energy of inductor

    4.

    A chemist measures a reaction rate as 2.5imes10−32.5 imes 10^{-3} mol L−1^{-1} s−1s^{-1}. Express this rate in molecules cm−3cm^{-3} μs−1\mu s^{-1} (molecules per cubic centimeter per microsecond). Avogadro's number = 6.022imes10236.022 imes 10^{23} molecules/mol.

    A

    1.5imes10121.5 imes 10^{12} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    B

    2.5imes10182.5 imes 10^{18} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    C

    1.5imes10151.5 imes 10^{15} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    D

    4.2imes10204.2 imes 10^{20} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Unit Conversion, Reaction Rate, Avogadro's Number

    5.

    Out of the following pairs, which one does not have identical dimensions?

    A

    Angular momentum and Planck’s constant

    B

    Impulse and momentum

    C

    Moment of inertia and moment of a force

    D

    Work and torque

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional Analysis, Angular Momentum, Planck's Constant, Impulse, Momentum, Moment of Inertia, Moment of Force, Work, Torque

    6.

    The dimensions of farad are

    A

    M−1L−2T2Q2{M^{ - 1}}{L^{ - 2}}{T^2}{Q^2}

    B

    M−1L−2TQ{M^{ - 1}}{L^{ - 2}}TQ

    C

    M−1L−2T−2Q{M^{ - 1}}{L^{ - 2}}{T^{ - 2}}Q

    D

    M−1L−2TQ2{M^{ - 1}}{L^{ - 2}}T{Q^2}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :capacitance, dimensional analysis, charge, mass, length, time

    7.

    The dimensions of resistivity in terms of M,L,T and Q where Q stands for the dimensions of charge, is

    A

    ML3T−1Q−2M{L^3}{T^{ - 1}}{Q^{ - 2}}

    B

    ML3T−2Q−1M{L^3}{T^{ - 2}}{Q^{ - 1}}

    C

    ML2T−1Q−1M{L^2}{T^{ - 1}}{Q^{ - 1}}

    D

    MLT−1Q−1ML{T^{ - 1}}{Q^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Resistivity, Dimensional Analysis, Ohm's Law, Electric Field, Current

    8.

    The dimensional formula for the magnetic field is

    A

    [MT−2A−1]\left[ {{\rm{M}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 1}}} \right]

    B

    [ML2T−1A−2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}{{\rm{A}}^{ - 2}}} \right]

    C

    [MT−2A−2]\left[ {{\rm{M}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 2}}} \right]

    D

    [MT−1A−2]\left[ {{\rm{M}}{{\rm{T}}^{ - 1}}{{\rm{A}}^{ - 2}}} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Magnetic Force, Dimensional Analysis

    9.

    Surface tension has the same dimensions as that of

    A

    Coefficient of viscosity

    B

    Impulse

    C

    Momentum

    D

    Spring constant

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Surface tension, Dimensions, Spring constant, Dimensional analysis

    10.

    Which of the following sets of quantities have same dimensional formula?

    A

    Frequency, angular frequency and angular momentum

    B

    Surface tension, stress and spring constant

    C

    Acceleration, momentum and retardation

    D

    Work, energy and torque

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Easy
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional Analysis, Frequency, Angular Frequency, Angular Momentum, Surface Tension, Stress, Spring Constant, Acceleration, Momentum, Retardation, Work, Energy, Torque

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