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.

    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

    2.

    Inductance L can be dimensionally represented as

    A

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

    B

    ML2T−4A−3M{L^2}{T^{ - 4}}{A^{ - 3}}

    C

    ML−2T−2A−2M{L^{ - 2}}{T^{ - 2}}{A^{ - 2}}

    D

    ML2T4A3M{L^2}{T^4}{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 :Inductance, Dimensional Analysis

    3.

    What is the dimensional formula of planck s  constantlinear  momentum?\frac{{{\rm{planck}}\,{\rm{s\;constant}}}}{{{\rm{linear\;momentum}}}}?

    A

    [L]

    B

    [T]

    C

    [M]

    D

    [M L T]

    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, planck's constant, linear momentum

    4.

    The power of lens is P=1f,  P = \frac{1}{f},\; where f is focal length of the lens . The dimensions of power of lens are

    A

    [LT−2]\left[ {{\rm{L}}{{\rm{T}}^{ - 2}}} \right]

    B

    [M0L−1T0]\left[ {{{\rm{M}}^0}{{\rm{L}}^{ - 1}}{{\rm{T}}^0}} \right]

    C

    [M0L0T0]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^0}} \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 :power of a lens, focal length, dimensional analysis

    5.

    If unit of length, mass and time each be doubled, the unit of work done is increased by

    A

    4 times

    B

    6 times

    C

    8 times

    D

    2 times

    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 :Work, Units, Dimensional Analysis

    6.

    The dimensions of surface tension are

    A

    ML−1T−2M{L^{ - 1}}{T^{ - 2}}

    B

    MLT−2ML{T^{ - 2}}

    C

    ML−1T−1M{L^{ - 1}}{T^{ - 1}}

    D

    MT−2M{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 :surface tension, dimensional analysis

    7.

    Identify the pair which has different dimensions

    A

    Planck’s constant and angular momentum

    B

    Impulse and linear momentum

    C

    Angular momentum and frequency

    D

    Pressure and Young’s modulus

    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, Planck's constant, angular momentum, impulse, linear momentum, frequency, pressure, Young's modulus

    8.

    Which has not the same unit as other?

    A

    Work

    B

    Energy

    C

    Power

    D

    Momentum

    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 :energy, units of energy, power, time

    9.

    [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

    10.

    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

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