1.

    Dimensions of frequency are

    A

    M0L−1T0{M^0}{L^{ - 1}}{T^0}

    B

    M0L0T−1{M^0}{L^0}{T^{ - 1}}

    C

    M0L0T{M^0}{L^0}T

    D

    MT−2M{T^{ - 2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :frequency, dimensional analysis

    Related Questions

    1.

    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

    2.

    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

    3.

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

    A

    1/√(LC)

    B

    R/L

    C

    1/RC

    D

    1/√(LC), R/L and 1/RC

    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

    4.

    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

    5.

    [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

    6.

    What are the units of K=1/4πε0K = 1/4\pi {\varepsilon _0}

    A

    C2N−1m−2{C^2}{N^{ - 1}}{m^{ - 2}}

    B

    Nm2C−2N{m^2}{C^{ - 2}}

    C

    Nm2C2N{m^2}{C^2}

    D

    UnitlessUnitless

    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 :Coulomb's Law, Permittivity of Free Space, Units Analysis

    7.

    The dimensions of emf in MKS is

    A

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

    B

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

    C

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

    D

    [ML2T−2Q−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{Q}}^{ - 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 :3 mins
    🔄Ncert Concepts :Electromotive force (EMF), Dimensional analysis

    8.

    The fundamental unit, which has the same power in the dimensional formulae of surface tension and viscosity is

    A

    Mass

    B

    Length

    C

    Time

    D

    None of these

    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, Surface Tension, Viscosity

    9.

    Dimensional formula of magnetic flux is

    A

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

    B

    ML0T−2A−2M{L^0}{T^{ - 2}}{A^{ - 2}}

    C

    M0L−2T−2A−3{M^0}{L^{ - 2}}{T^{ - 2}}{A^{ - 3}}

    D

    ML2T−2A3M{L^2}{T^{ - 2}}{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 :magnetic flux, dimensional analysis, units

    10.

    The number of particles given by n=−Dn2−n1x2−x1n = - D\frac{{{n_2} - {n_1}}}{{{x_2} - {x_1}}} are crossing a unit area perpendicular to x-axis in unit time, where n1{n_1} and n2{n_2} are the number of particles per unit volume for the values x1{x_1} and x2{x_2} of x respectively. Then the dimensional formula of diffusion constant D is

    A

    [M0LT0]\left[ {{{\rm{M}}^0}{\rm{L}}{{\rm{T}}^0}} \right]

    B

    [M0L2T−4]\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{{\rm{T}}^{ - 4}}} \right]

    C

    [M0LT−3]\left[ {{{\rm{M}}^0}{\rm{L}}{{\rm{T}}^{ - 3}}} \right]

    D

    [M0L2T−1]\left[ {{{\rm{M}}^0}{{\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 :Dimensional Analysis, Diffusion

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