1.

    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

    Related Questions

    1.

    If C and L denote capacitance and inductance respectively, then the dimensions of LC are

    A

    M0L0T0{M^0}{L^0}{T^0}

    B

    M0L0  T2{M^0}{L^0}\;{T^2}

    C

    M2L0T2{M^2}{L^0}{T^2}

    D

    MLT2ML{T^2}

    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 :Capacitance, Inductance, Dimensional Analysis

    2.

    The dimensional formula for the magnetic field is

    A

    [MT−2A−1]\left[ {{\rm{M}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 1}}} \right]

    B

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

    C

    [MT−2A−2]\left[ {{\rm{M}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 2}}} \right]

    D

    [MT−1A−2]\left[ {{\rm{M}}{{\rm{T}}^{ - 1}}{{\rm{A}}^{ - 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 :Magnetic Force, Dimensional Analysis

    3.

    Force constant has the same dimensions as

    A

    Coefficient of viscosity

    B

    Surface tension

    C

    Frequency

    D

    Impulse

    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 :Force constant, Dimensions, Surface tension, Dimensional Analysis

    4.

    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

    5.

    The Planck constant is 6.626imes10−346.626 imes 10^{-34} J s. Express this in units of eV s (electron-volt seconds), given 1 eV = 1.602imes10−191.602 imes 10^{-19} J.

    A

    4.136imes10−154.136 imes 10^{-15} eV s

    B

    1.062imes10−521.062 imes 10^{-52} eV s

    C

    2.418imes10142.418 imes 10^{14} eV s

    D

    6.626imes10−156.626 imes 10^{-15} eV s

    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, Energy, Planck's Constant

    6.

    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, Physical quantities

    7.

    A car travels at a speed of 60 km/h. What is its speed in m/s?

    A

    1.67 m/s

    B

    16.67 m/s

    C

    166.7 m/s

    D

    0.167 m/s

    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, speed

    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.

    The dimensional formula of universal gas constant is

    A

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

    B

    [M2LT−2heta]\left[ {{{\rm{M}}^2}{\rm{L}}{{\rm{T}}^{ - 2}}{\rm{heta }}} \right]

    C

    [ML3T−1heta−1]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^{ - 1}}{{\rm{heta }}^{ - 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:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Ideal Gas Law, Dimensional Analysis

    10.

    The dimension of the ratio of angular momentum to linear momentum is

    A

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

    B

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

    C

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

    D

    [M−1L−1T−1]\left[ {{M^{ - 1}}{L^{ - 1}}{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, Angular Momentum, Linear Momentum

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