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 :Permeability of free space, Permittivity of free space, Speed of light, Dimensional analysis

    Related Questions

    1.

    The speed of light is approximately 3imes1083 imes 10^8 m/s. If a star is 4 light-years away, what is its distance in kilometers? (1 light-year = distance light travels in one year)

    A

    3.8imes10103.8 imes 10^{10} km

    B

    1.2imes10131.2 imes 10^{13} km

    C

    3.8imes10133.8 imes 10^{13} km

    D

    1.2imes1091.2 imes 10^9 km

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Unit Conversion, Speed, Distance, Time

    2.

    The dimensions of resistance are same as those of ………. Where h is the Planck’s constant and e is the charge.

    A

    h2e2\frac{{{h^2}}}{{{e^2}}}

    B

    h2e\frac{{{h^2}}}{e}

    C

    he2\frac{h}{{{e^2}}}

    D

    he\frac{h}{e}

    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, Resistance, Planck's Constant, Charge

    3.

    If C,R,L and I denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time are (1) CR,  (2) LR ,  (3) LC  (4) LI2\left( 1 \right)\,CR,\,\,\left( 2 \right)\,\frac{L}{R}\,,\,\,\left( 3 \right)\,\sqrt {LC} \,\,\left( 4 \right)\,L{I^2}

    A

    (1), (2) and (3)

    B

    (1), (2) and (4)

    C

    (1), (3) and (4)

    D

    (2), (3) and (4)

    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, Capacitance, Resistance, Inductance, Time Constant

    4.

    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, Charge, Current

    5.

    Out of the following which pair of quantities do not have same dimensions

    A

    Planck’s constant and angular momentum

    B

    Work and energy

    C

    Pressure and Young’s modulus

    D

    Torque and moment of inertia

    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, Planck's constant, Angular Momentum, Work, Energy, Pressure, Young's Modulus, Torque, Moment of Inertia

    6.

    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

    7.

    Which of the following pairs has same dimensions?

    A

    Current density and charge density

    B

    Angular momentum and momentum

    C

    Spring constant and surface energy

    D

    Force 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, Current Density, Charge Density, Angular Momentum, Momentum, Spring Constant, Surface Energy, Force, Torque

    8.

    The dimension of quantity (L/RCV) is

    A

    [A]

    B

    [A2]\left[ {{A^2}} \right]

    C

    [A−1]\left[ {{A^{ - 1}}} \right]

    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, Inductance, Resistance, Capacitance, Voltage, Current

    9.

    Dimensions of ohm are same as (h-Planck’s constant, e-charge)

    A

    h/e

    B

    h2/e{h^2}/e

    C

    h/e2h/{e^2}

    D

    h2e2{h^2}{e^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 :Ohm's law, Planck's constant, Charge, Dimensional Analysis

    10.

    The dimensions of CV2C{V^2} matches with the dimensions of

    A

    L2I{L^2}I

    B

    L2I2{L^2}{I^2}

    C

    LI2L{I^2}

    D

    1LI  \frac{1}{{LI\;}}

    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, Voltage, Inductance, Dimensional Analysis

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