1.

    If C is the capacitance and V is the potential, the dimensional formula for CV2C{V^2} is

    A

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

    B

    [ML−2T−3]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 3}}} \right]

    C

    [ML2  T−2]\left[ {{\rm{M}}{{\rm{L}}^2}{\rm{\;}}{{\rm{T}}^{ - 2}}} \right]

    D

    [ML−2T−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:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :capacitance, potential, dimensional analysis, energy

    Related Questions

    1.

    In the formula, a=3bc2,aa = 3b{c^2},a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

    A

    [M−3L−2T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^{ - 2}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    B

    [M−3T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    C

    [M−3T3Q]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^3}{\rm{Q}}} \right]

    D

    [M−3L2T4Q−4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^2}{{\rm{T}}^4}{{\rm{Q}}^{ - 4}}} \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 :Dimensional Analysis, Electric Capacitance, Magnetic Induction

    2.

    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

    3.

    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

    4.

    R,L and C represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combination has dimension of frequency?

    A

    1/√(LC)

    B

    R/L

    C

    1/RC

    D

    1/√(LC), R/L and 1/RC

    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, Frequency, Resistance, Inductance, Capacitance

    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.

    R,L and C represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combination has dimension of frequency?

    A

    1RC\frac{1}{{\sqrt {RC} }}

    B

    RL\frac{R}{L}

    C

    1LC\frac{1}{{LC}}

    D

    CL\frac{C}{L}

    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, Frequency, Resistance, Inductance, Capacitance

    7.

    If L,C and R denote inductance, capacitance and resistance respectively, then which of the following combination has the dimension of time?

    A

    CL\frac{C}{L}

    B

    1RC\frac{1}{{RC}}

    C

    LR\frac{L}{R}

    D

    RLC\frac{{RL}}{C}

    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, Inductance, Capacitance, Resistance

    8.

    The dimension of quantity (L/RCV) is

    A

    [A]

    B

    [A2]\left[ {{A^2}} \right]

    C

    [A−1]\left[ {{A^{ - 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:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional Analysis, Inductance, Resistance, Capacitance, Voltage, Current

    9.

    [ML2T−3A−2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{A}}^{ - 2}}} \right] is the dimensional formula of

    A

    Resistance

    B

    Resistivity

    C

    Conductance

    D

    Conductivity

    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, Electric potential, Electric resistance, Capacitance, Specific resistance

    10.

    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

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