1.

    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

    Related Questions

    1.

    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

    2.

    The dimension of the ratio of angular momentum to linear momentum is

    A

    [L]

    B

    [T]

    C

    [M]

    D

    [L][T]⁻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 :2 mins
    🔄Ncert Concepts :Dimensional analysis, Angular momentum, Linear momentum

    3.

    The dimensional formula of modulus of rigidity is

    A

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

    B

    [ML−3T2]\left[ {{\rm{M}}{{\rm{L}}^{ - 3}}{{\rm{T}}_2}} \right]

    C

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

    D

    [ML−1T−2]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{{\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 :modulus of rigidity, dimensional analysis, stress, strain

    4.

    The dimensions of potential are the same as that of

    A

    Work

    B

    Electric field per unit charge

    C

    Work per unit charge

    D

    Force per unit charge

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Understanding
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Electric Potential, Work, Charge

    5.

    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

    6.

    A physical quantity of the dimensions of length that can be formed out of c, G and is [c is velocity of light, G is universal constant of gravitation and e is charge]

    A

    c2[Ge24πε0]1/2{c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}

    B

    1c2[e2G4πε0]1/2\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}

    C

    1cGe24πε0\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}

    D

    1c2[Ge24πε0]1/2\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}

    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 :Dimensional Analysis, Fundamental Constants, Electromagnetic Force

    7.

    The dimension of 1ε0μ0\frac{1}{{\sqrt {{\varepsilon _0}{\mu _0}} }} is that of

    A

    Velocity

    B

    Time

    C

    Capacitance

    D

    Distance

    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 :Electromagnetism, Permittivity, Permeability, Velocity of light, Dimensional Analysis

    8.

    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

    9.

    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

    10.

    Which one has the dimensions different from the remaining three

    A

    Power

    B

    Work

    C

    Torque

    D

    Energy

    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 :Dimensions, Power, Work, Torque, Energy

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