1.

    Dimensional formula of heat energy is

    A

    [MLT⁻²]

    B

    [ML²T⁻²]

    C

    [MLT⁻¹]

    D

    [ML²T⁻³]

    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, Heat 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.

    Dimensions of magnetic field intensity is

    A

    [M0L−1T0A1]\left[ {{M^0}{L^{ - 1}}{T^0}{A^1}} \right]

    B

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

    C

    [ML0T−2A−1]\left[ {M{L^0}{T^{ - 2}}{A^{ - 1}}} \right]

    D

    [MLT−2A]\left[ {ML{T^{ - 2}}A} \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 Field Intensity, Dimensional Analysis, Force on a current carrying conductor

    3.

    The dimensional formula of magnetic permeability is

    A

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

    B

    [M0L2T−1]\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}} \right]

    C

    [M0L2T−1A2]\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}{{\rm{A}}^2}} \right]

    D

    [MLT−2A−2]\left[ {{\rm{ML}}{{\rm{T}}^{ - 2}}{{\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 permeability, Dimensional analysis, Force on a current carrying conductor

    4.

    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 :3 mins
    🔄Ncert Concepts :Dimensional Analysis, Planck's Constant, Angular Momentum, Impulse, Linear Momentum, Frequency, Pressure, Young's Modulus

    5.

    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 :Dimensional Analysis, Magnetic Force, Lorentz Force Law

    6.

    Dimensions of ohm are same as (h-Planck’s constant, e-charge)

    A

    h/e

    B

    h2/e{h^2}/e

    C

    h/e2h/{e^2}

    D

    h2e2{h^2}{e^2}

    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 :Ohm's Law, Planck's constant, Charge, Dimensional Analysis

    7.

    Dimensional formula of capacitance (or farad) is

    A

    M−1L−2T4A2{M^{ - 1}}{L^{ - 2}}{T^4}{A^2}

    B

    ML2T4A−2M{L^2}{T^4}{A^{ - 2}}

    C

    MLT−4A2ML{T^{ - 4}}{A^2}

    D

    M−1L−2T−4A−2{M^{ - 1}}{L^{ - 2}}{T^{ - 4}}{A^{ - 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 :3 mins
    🔄Ncert Concepts :Capacitance, Dimensional Analysis, Charge, Current, Voltage

    8.

    Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be

    A

    [ML2T−3I−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{I}}^{ - 1}}} \right]

    B

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

    C

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

    D

    [ML2T−3I−2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{I}}^{ - 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 :Ohm's Law, Dimensional Analysis, Power, Work/Energy

    9.

    If C,R,L and I denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time are (1) CR,  (2) LR ,  (3) LC  (4) LI2\left( 1 \right)\,CR,\,\,\left( 2 \right)\,\frac{L}{R}\,,\,\,\left( 3 \right)\,\sqrt {LC} \,\,\left( 4 \right)\,L{I^2}

    A

    (1), (2) and (3)

    B

    (1), (2) and (4)

    C

    (1), (3) and (4)

    D

    (2), (3) and (4)

    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, Capacitance, Resistance, Inductance, Time Constant

    10.

    Dimensions of ohm are same as (h-Planck’s constant, e-charge)

    A

    h/e

    B

    h2/e{h^2}/e

    C

    h/e2h/{e^2}

    D

    h2e2{h^2}{e^2}

    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 :Ohm's law, Planck's constant, Charge, Dimensional Analysis

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