1.

    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

    Related Questions

    1.

    Dimensional formula of magnetic flux is

    A

    ML2T−2A−1M{L^2}{T^{ - 2}}{A^{ - 1}}

    B

    ML0T−2A−2M{L^0}{T^{ - 2}}{A^{ - 2}}

    C

    M0L−2T−2A−3{M^0}{L^{ - 2}}{T^{ - 2}}{A^{ - 3}}

    D

    ML2T−2A3M{L^2}{T^{ - 2}}{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 :magnetic flux, dimensional analysis, units

    2.

    Dimension of R is

    A

    ML2T−1M{L^2}{T^{ - 1}}

    B

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

    C

    ML−1T−2M{L^{ - 1}}{T^{ - 2}}

    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 :Dimensional Analysis, Resistance, Electrical Units

    3.

    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

    4.

    A pressure of 1 atmosphere is equal to how many Pascals?

    A

    1013.25 Pa

    B

    101325 Pa

    C

    101.325 Pa

    D

    10.1325 Pa

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

    5.

    What is the dimensional formula of mc2m{c^2}, where the letters have their usual meanings?

    A

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

    B

    [ML0T0]\left[ {{\rm{M}}{{\rm{L}}^0}{{\rm{T}}^0}} \right]

    C

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

    D

    [M−1L3T6]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^6}} \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 :Dimensional Analysis, Mass, Speed of light, Energy

    6.

    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

    7.

    The equation of alternating current is I=I0e−t/CRI = {I_0}{e^{ - t/CR}}, where t is time, C is capacitance and R is resistance of coil, then the dimensions of C R is

    A

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

    B

    [M0LT]\left[ {{{\rm{M}}^0}{\rm{LT}}} \right]

    C

    [M0L0T]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{\rm{T}}} \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 :Dimensional Analysis, RC circuit

    8.

    The dimensions of stress are equal to

    A

    Force

    B

    Pressure

    C

    Work

    D

    1Pressure\frac{1}{{{\rm{Pressure}}}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Remembering
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Stress, Pressure, Dimensions

    9.

    Dimensional formula for force is

    A

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

    B

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

    C

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

    D

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

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Remembering
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Dimensional Analysis, Force

    10.

    The dimensions of K in the equation W=12  Kx2W = \frac{1}{2}\;K{x^2} is

    A

    M1L0T−2{M^1}{L^0}{T^{ - 2}}

    B

    M0L1T−1{M^0}{L^1}{T^{ - 1}}

    C

    M1L1T−2{M^1}{L^1}{T^{ - 2}}

    D

    M1L0T−1{M^1}{L^0}{T^{ - 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 :Work, Dimensions, Dimensional Analysis

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