1.

    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

    Related Questions

    1.

    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

    2.

    The dimensional formula for impulse is

    A

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

    B

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

    C

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

    D

    [ML−1T−1]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{{\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 :Impulse, Dimensional Analysis, Force, Time

    3.

    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

    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 only mechanical quantity which has negative dimension of mass is

    A

    Angular momentum

    B

    Torque

    C

    Coefficient of thermal conductivity

    D

    Gravitational 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 :2 mins
    🔄Ncert Concepts :Dimensional analysis, Gravitational constant, Angular momentum, Torque, Thermal conductivity

    6.

    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

    7.

    The dimension of 1ε0μ0\frac{1}{{\sqrt {{\varepsilon _0}{\mu _0}} }} is that of

    A

    Velocity

    B

    Time

    C

    Capacitance

    D

    Distance

    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 :Electromagnetism, Permittivity, Permeability, Velocity of light, Dimensional Analysis

    8.

    R,L and C represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combination has dimension of frequency?

    A

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

    B

    RL\frac{R}{L}

    C

    1LC\frac{1}{{LC}}

    D

    CL\frac{C}{L}

    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, Frequency, Resistance, Inductance, Capacitance

    9.

    Which one has the dimensions different from the remaining three

    A

    Power

    B

    Work

    C

    Torque

    D

    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 :Dimensions, Power, Work, Torque, Energy

    10.

    [ML−2T−2]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 2}}} \right] represents dimensional formula of which of the following physical quantities?

    A

    Energy

    B

    pressure

    C

    Torque

    D

    Pressure gradient

    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, Pressure, Pressure Gradient, Energy, Torque

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