1.

    If C is the capacitance and V is the potential, the dimensional formula for CV2C{V^2} is

    A

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

    B

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

    C

    [ML2  T−2]\left[ {{\rm{M}}{{\rm{L}}^2}{\rm{\;}}{{\rm{T}}^{ - 2}}} \right]

    D

    [ML−2T−2]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 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 :2 mins
    🔄Ncert Concepts :capacitance, potential, dimensional analysis, energy

    Related Questions

    1.

    The ratio of SI. Unit of the CGS unit of Planck’s constant is

    A

    107:1{10^7}:1

    B

    104:1{10^4}:1

    C

    106:1{10^6}:1

    D

    1:11:1

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Planck's constant, SI units, CGS units, unit conversion

    2.

    Which of the following quantities is dimensionless

    A

    Velocity

    B

    Acceleration

    C

    Force

    D

    Strain

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional analysis, Physical constants, Lens power

    3.

    The dimensions of surface tension are

    A

    ML−1T−2M{L^{ - 1}}{T^{ - 2}}

    B

    MLT−2ML{T^{ - 2}}

    C

    ML−1T−1M{L^{ - 1}}{T^{ - 1}}

    D

    MT−2M{T^{ - 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 :2 mins
    🔄Ncert Concepts :surface tension, dimensional analysis

    4.

    The dimensions of surface tension are

    A

    ML−1T−2M{L^{ - 1}}{T^{ - 2}}

    B

    MLT−2ML{T^{ - 2}}

    C

    ML−1T−1M{L^{ - 1}}{T^{ - 1}}

    D

    MT−2M{T^{ - 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 :2 mins
    🔄Ncert Concepts :surface tension, dimensional analysis

    5.

    A suitable unit for gravitational constant is

    A

    kg−m  sec−1kg - m\,\,se{c^{ - 1}}

    B

    N  m−1secN\;{m^{ - 1}}{\rm{sec}}

    C

    N  m2  kg−2N\;{m^2}\;k{g^{ - 2}}

    D

    kg  m  sec−1kg\;m{\rm{\;se}}{{\rm{c}}^{ - 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 :2 mins
    🔄Ncert Concepts :Gravitational constant, Units and dimensions, Newton's Law of Gravitation

    6.

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

    A

    Resistivity

    B

    Conductivity

    C

    Resistance

    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 :Dimensional Analysis, Resistivity, Resistance, Conductivity

    7.

    The physical quantity having the dimensions [M−1L−3A2T3]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^{ - 3}}{{\rm{A}}^2}{T^3}} \right] is

    A

    Resistance

    B

    Resistivity

    C

    Electrical conductivity

    D

    Electromotive force

    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, Electrical conductivity, Resistance, Resistivity, Electromotive force

    8.

    The dimensional formula for Boltzmann’s constant is

    A

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

    B

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

    C

    [ML0T−2heta−1]\left[ {M{L^0}{T^{ - 2}}{heta ^{ - 1}}} \right]

    D

    [ML−2T−1heta−1]\left[ {M{L^{ - 2}}{T^{ - 1}}{heta ^{ - 1}}} \right]

    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 :Boltzmann constant, Dimensional analysis, Kinetic energy, Temperature

    9.

    The dimensions of couple are

    A

    ML2T−2M{L^2}{T^{ - 2}}

    B

    MLT−2ML{T^{ - 2}}

    C

    ML−1T−3M{L^{ - 1}}{T^{ - 3}}

    D

    ML−2T−2M{L^{ - 2}}{T^{ - 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 :2 mins
    🔄Ncert Concepts :Couple, Dimensions, Torque, Force, Distance

    10.

    The constant of proportionality 14πε0  \frac{1}{{4{\rm{\pi }}{{\rm{\varepsilon }}_0}}}\; in Coulomb’s law has the following units

    A

    C−2Nm2{{\rm{C}}^{ - 2}}{\rm{N}}{{\rm{m}}^2}

    B

    C2N−1m−2{{\rm{C}}^2}{{\rm{N}}^{ - 1}}{{\rm{m}}^{ - 2}}

    C

    C2Nm2{{\rm{C}}^2}{\rm{N}}{{\rm{m}}^2}

    D

    C−2N−1m−2{{\rm{C}}^{ - 2}}{{\rm{N}}^{ - 1}}{{\rm{m}}^{ - 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 :2 mins
    🔄Ncert Concepts :Coulomb's Law, Units of Force, Units of Charge, Units of Distance, Permittivity of Free Space

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