1.

    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

    Related Questions

    1.

    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

    2.

    If L,C and R denote inductance, capacitance and resistance respectively, then which of the following combination has the dimension of time?

    A

    CL\frac{C}{L}

    B

    1RC\frac{1}{{RC}}

    C

    LR\frac{L}{R}

    D

    RLC\frac{{RL}}{C}

    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, Inductance, Capacitance, Resistance

    3.

    Which of the following represents a volt

    A

    Joule/second

    B

    Watt/ampere

    C

    Watt/coulomb

    D

    Coulomb/joule

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Understanding
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Voltage, Electrical Power, Energy, Current

    4.

    Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be

    A

    [ML2T−3I−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{I}}^{ - 1}}} \right]

    B

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

    C

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

    D

    [ML2T−3I−2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{I}}^{ - 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 :Ohm's Law, Dimensional Analysis, Power, Work/Energy

    5.

    The dimensions of physical quantity X in the equation Force  =XDensity  {\rm{Force\;}} = \frac{X}{{{\rm{Density\;}}}} is given by

    A

    M1L4T−2{M^1}{L^4}{T^{ - 2}}

    B

    M2L−2T−1{M^2}{L^{ - 2}}{T^{ - 1}}

    C

    M2L−2T−2{M^2}{L^{ - 2}}{T^{ - 2}}

    D

    M1L−2T−1{M^1}{L^{ - 2}}{T^{ - 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 :Dimensional Analysis, Force, Density

    6.

    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

    7.

    Which one of the following does not have the same dimensions

    A

    Work and energy

    B

    Angle and strain

    C

    Relative density and refractive index

    D

    Planck constant and energy

    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, Work, Energy, Angle, Strain, Relative density, Refractive index, Planck constant

    8.

    In the formula, a=3bc2,aa = 3b{c^2},a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

    A

    [M−3L−2T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^{ - 2}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    B

    [M−3T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    C

    [M−3T3Q]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^3}{\rm{Q}}} \right]

    D

    [M−3L2T4Q−4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^2}{{\rm{T}}^4}{{\rm{Q}}^{ - 4}}} \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, Electric Capacitance, Magnetic Induction

    9.

    Dimensions of bulk modulus are

    A

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

    B

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

    C

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

    D

    [M2L2T−1]\left[ {{{\rm{M}}^2}{{\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 :bulk modulus, dimensional analysis, pressure, stress, strain

    10.

    The dimensions of electric dipole moment are

    A

    [L2I]\left[ {{{\rm{L}}^2}{\rm{I}}} \right]

    B

    [LI]\left[ {{\rm{LI}}} \right]

    C

    [LTI]\left[ {{\rm{LTI}}} \right]

    D

    [T−2]\left[ {{{\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 :electric dipole moment, dimensional analysis

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