1.

    From the dimensional consideration, which of the following equation is correct

    A

    T = \sqrt{\frac{L}{g}}

    B

    T = 2π\sqrt{\frac{g}{L}}

    C

    T = 2π\sqrt{\frac{l}{G}}

    D

    T = 2π\sqrt{\frac{R^2}{GM}}

    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, Time period of a satellite, Gravitational constant

    Related Questions

    1.

    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

    2.

    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

    3.

    The physical quantity angular momentum has the same dimensions as that of

    A

    Work

    B

    Force

    C

    Momentum

    D

    Planck’s constant

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :angular momentum, dimensions, Planck's constant, work, force, momentum

    4.

    A chemist measures a reaction rate as 2.5imes10−32.5 imes 10^{-3} mol L−1^{-1} s−1s^{-1}. Express this rate in molecules cm−3cm^{-3} μs−1\mu s^{-1} (molecules per cubic centimeter per microsecond). Avogadro's number = 6.022imes10236.022 imes 10^{23} molecules/mol.

    A

    1.5imes10121.5 imes 10^{12} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    B

    2.5imes10182.5 imes 10^{18} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    C

    1.5imes10151.5 imes 10^{15} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    D

    4.2imes10204.2 imes 10^{20} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    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, Reaction Rate, Avogadro's Number

    5.

    Dimensions of CR are those of

    A

    Frequency

    B

    Energy

    C

    Time period

    D

    Current

    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 :Capacitance, Resistance, Time Constant, Dimensional Analysis

    6.

    “Pascal-Second” has dimension of

    A

    Force

    B

    Energy

    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:Understanding
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Units, Dimensions, Coefficient of viscosity, Pressure

    7.

    The dimensions of coefficient of self inductance are

    A

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

    B

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

    C

    [MLT−2A−2]  \left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 2}}} \right]{\rm{\;}}

    D

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

    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 :self inductance, dimensional analysis, energy of inductor

    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.

    Dimensional formula for volume elasticity is

    A

    M1L−2T−2{M^1}{L^{ - 2}}{T^{ - 2}}

    B

    M1L−3T−2{M^1}{L^{ - 3}}{T^{ - 2}}

    C

    M1L2T−2{M^1}{L^2}{T^{ - 2}}

    D

    M1L−1T−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 :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Bulk Modulus, Dimensional Analysis

    10.

    If C be the capacitance and V be the electric potential, then the dimensional formula of CV2C{V^2} is

    A

    [ML−3TA]\left[ {{\rm{M}}{{\rm{L}}^{ - 3}}{\rm{TA}}} \right]

    B

    [K0LT−2A0]\left[ {{{\rm{K}}^0}{\rm{L}}{{\rm{T}}^{ - 2}}{{\rm{A}}^0}} \right]

    C

    [ML1T−2A−1]\left[ {{\rm{M}}{{\rm{L}}^1}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 1}}} \right]

    D

    [ML2T−2A0]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{A}}^0}} \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 :Capacitance, Electric Potential, Dimensional Analysis, Energy

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