1.

    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

    Related Questions

    1.

    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

    2.

    A rectangular field is 200 m long and 150 m wide. What is its area in hectares?

    A

    2 hectares

    B

    3 hectares

    C

    4 hectares

    D

    5 hectares

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

    3.

    The dimensions of power are

    A

    M1L2T−3{M^1}{L^2}{T^{ - 3}}

    B

    M2L1T−2{M^2}{L^1}{T^{ - 2}}

    C

    M1L2  T−1{M^1}{L^2}\;{T^{ - 1}}

    D

    M1L1T−2{M^1}{L^1}{T^{ - 2}}

    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 :Power, Dimensional Analysis

    4.

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

    A

    Momentum

    B

    Force

    C

    Pressure

    D

    Coefficient of viscosity

    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, Units of physical quantities

    5.

    If V denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of CV2C{V^2} are

    A

    Not expressible in MLT

    B

    MLT−2ML{T^{ - 2}}

    C

    M2LT−1{M^2}L{T^{ - 1}}

    D

    ML2T−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 :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Capacitance, Potential Difference, Energy stored in a capacitor, Dimensional analysis

    6.

    The wavelength of a light wave is 500 nm. Express this wavelength in meters.

    A

    5 x 10^-9 m

    B

    5 x 10^-7 m

    C

    5 x 10^7 m

    D

    5 x 10^9 m

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :unit conversion, wavelength, scientific notation

    7.

    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

    8.

    A protein molecule's diameter is measured as 42 Å using X-ray diffraction. If another measurement instrument gives the diameter in picometers (pm), and the ratio of the two measurements is x10\frac{x}{10}, what is the value of xx?

    A

    100

    B

    1000

    C

    420

    D

    42

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Unit Conversion, Length, Scientific Notation

    9.

    Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful

    A

    A/B

    B

    A+B

    C

    A-B

    D

    None

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

    10.

    The physical quantity that has no dimensions is

    A

    Angular Velocity

    B

    Linear momentum

    C

    Angular momentum

    D

    Strain

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Understanding
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional analysis, Strain, Angular velocity, Linear momentum, Angular momentum

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