1.

    The unit of expression μ0ε0{{\rm{\mu }}_0}{{\rm{\varepsilon }}_0} are

    A

    ms−1{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    m2s−2{{\rm{m}}^2}{{\rm{s}}^{ - 2}}

    C

    s2m−2{{\rm{s}}^2}{{\rm{m}}^{ - 2}}

    D

    sm−1{\rm{s}}{{\rm{m}}^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Permittivity of free space, Permeability of free space, Speed of light, Dimensional Analysis

    Related Questions

    1.

    Dimensional formula of capacitance (or farad) is

    A

    M−1L−2T4A2{M^{ - 1}}{L^{ - 2}}{T^4}{A^2}

    B

    ML2T4A−2M{L^2}{T^4}{A^{ - 2}}

    C

    MLT−4A2ML{T^{ - 4}}{A^2}

    D

    M−1L−2T−4A−2{M^{ - 1}}{L^{ - 2}}{T^{ - 4}}{A^{ - 2}}

    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 :Capacitance, Dimensional Analysis, Charge, Current, Voltage

    2.

    Given that υ is speed, r is the radius and g is the acceleration due to gravity. Which of the following is dimensionless

    A

    υ2/rg{\upsilon ^2}/rg

    B

    υ2r/g{\upsilon ^2}r/g

    C

    υ2g/r{\upsilon ^2}g/r

    D

    υ2rg{\upsilon ^2}rg

    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 :Dimensional Analysis, Units of Measurement

    3.

    The dimensions of Planck’s constant are

    A

    [M2L2T−2]\left[ {{{\rm{M}}^2}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    B

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

    C

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

    D

    [ML2T−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}} \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 :2 mins
    🔄Ncert Concepts :Planck's constant, Dimensional analysis, Energy, Frequency

    4.

    Which of the following pairs does not have similar dimensions

    A

    Stress and pressure

    B

    Angle and strain

    C

    Tension and surface tension

    D

    Planck’s constant and angular momentum

    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, Stress, Pressure, Angle, Strain, Tension, Surface Tension, Planck's Constant, Angular Momentum

    5.

    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

    6.

    If force is proportional to square of velocity, then the dimensions of proportionality constant are

    A

    [ML−1T]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{\rm{T}}} \right]

    B

    [ML−1T0]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{{\rm{T}}^0}} \right]

    C

    [MLT0]\left[ {{\rm{ML}}{{\rm{T}}^0}} \right]

    D

    [M0LT−1]\left[ {{{\rm{M}}^0}{\rm{L}}{{\rm{T}}^{ - 1}}} \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 :2 mins
    🔄Ncert Concepts :Dimensional Analysis, Force, Velocity

    7.

    Inductance L can be dimensionally represented as

    A

    ML2T−2A−2M{L^2}{T^{ - 2}}{A^{ - 2}}

    B

    ML2T−4A−3M{L^2}{T^{ - 4}}{A^{ - 3}}

    C

    ML−2T−2A−2M{L^{ - 2}}{T^{ - 2}}{A^{ - 2}}

    D

    ML2T4A3M{L^2}{T^4}{A^3}

    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 :Inductance, Dimensional Analysis

    8.

    If C be the capacitance and V be the electric potential, then the dimensional formula of CV2C{V^2} is

    A

    [ML−3TA]\left[ {{\rm{M}}{{\rm{L}}^{ - 3}}{\rm{TA}}} \right]

    B

    [K0LT−2A0]\left[ {{{\rm{K}}^0}{\rm{L}}{{\rm{T}}^{ - 2}}{{\rm{A}}^0}} \right]

    C

    [ML1T−2A−1]\left[ {{\rm{M}}{{\rm{L}}^1}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 1}}} \right]

    D

    [ML2T−2A0]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{A}}^0}} \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 :Capacitance, Electric Potential, Dimensional Analysis, Energy

    9.

    The dimensions of permittivity ε0{\varepsilon _0} are

    A

    A2T2M−1L−3{A^2}{T^2}{M^{ - 1}}{L^{ - 3}}

    B

    A2T4M−1L−3{A^2}{T^4}{M^{ - 1}}{L^{ - 3}}

    C

    A−2T−4ML3{A^{ - 2}}{T^{ - 4}}M{L^3}

    D

    A2T−4M−1L−3{A^2}{T^{ - 4}}{M^{ - 1}}{L^{ - 3}}

    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 :Permittivity, Dimensional Analysis, Coulomb's Law

    10.

    Coefficient of thermal conductivity has the dimensions

    A

    [MLT−3K−1]\left[ {{\rm{ML}}{{\rm{T}}^{ - 3}}{{\rm{K}}^{ - 1}}} \right]

    B

    [ML3T3K2]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^3}{{\rm{K}}^2}} \right]

    C

    [ML3T−3K−2]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^{ - 3}}{{\rm{K}}^{ - 2}}} \right]

    D

    [M2L3T−3K2]\left[ {{{\rm{M}}^2}{{\rm{L}}^3}{{\rm{T}}^{ - 3}}{{\rm{K}}^2}} \right]

    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 :thermal conductivity, dimensions, heat transfer

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