1.

    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

    Related Questions

    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

    2.

    Given that υ is speed, r is the radius and g is the acceleration due to gravity. Which of the following is dimensionless

    A

    υ2/rg{\upsilon ^2}/rg

    B

    υ2r/g{\upsilon ^2}r/g

    C

    υ2g/r{\upsilon ^2}g/r

    D

    υ2rg{\upsilon ^2}rg

    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, Units of Measurement

    3.

    According to Newton, the viscous force acting between liquid layers of area A and velocity gradient Δv/Δz\Delta v/\Delta z is given by F=−ηAΔvΔxF = - \eta A\frac{{{\rm{\Delta }}v}}{{{\rm{\Delta }}x}} where η\eta is constant called coefficient of viscosity. The dimensions of η\eta are

    A

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

    B

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

    C

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

    D

    [M0L0T0]\left[ {{M^0}{L^0}{T^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 :2 mins
    🔄Ncert Concepts :Dimensional Analysis, Viscosity, Force

    4.

    The dimensions of surface tension are

    A

    ML−1T−2M{L^{ - 1}}{T^{ - 2}}

    B

    MLT−2ML{T^{ - 2}}

    C

    ML−1T−1M{L^{ - 1}}{T^{ - 1}}

    D

    MT−2M{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 :surface tension, dimensional analysis

    5.

    The ratio of SI. Unit of the CGS unit of Planck’s constant is

    A

    107:1{10^7}:1

    B

    104:1{10^4}:1

    C

    106:1{10^6}:1

    D

    1:11:1

    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 :Planck's constant, SI units, CGS units, unit conversion

    6.

    The dimensions of emf in MKS is

    A

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

    B

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

    C

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

    D

    [ML2T−2Q−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{Q}}^{ - 1}}} \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 :Electromotive force (EMF), Dimensional Analysis

    7.

    Which of the following pairs does not have similar dimensions

    A

    Stress and pressure

    B

    Angle and strain

    C

    Tension and surface tension

    D

    Planck’s constant and angular momentum

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Easy
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional Analysis, Stress, Pressure, Angle, Strain, Tension, Surface Tension, Planck's Constant, Angular Momentum

    8.

    The dimensions of resistance are same as those of ………. Where h is the Planck’s constant and e is the charge.

    A

    h2e2\frac{{{h^2}}}{{{e^2}}}

    B

    h2e\frac{{{h^2}}}{e}

    C

    he2\frac{h}{{{e^2}}}

    D

    he\frac{h}{e}

    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, Resistance, Planck's Constant, Charge

    9.

    Linear momentum and angular momentum have the same dimensions in

    A

    A natural unit system where certain fundamental constants are set to 1

    B

    SI units

    C

    CGS units

    D

    MKS units

    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 :Linear Momentum, Angular Momentum, Dimensional Analysis

    10.

    The dimensions of surface tension are

    A

    ML−1T−2M{L^{ - 1}}{T^{ - 2}}

    B

    MLT−2ML{T^{ - 2}}

    C

    ML−1T−1M{L^{ - 1}}{T^{ - 1}}

    D

    MT−2M{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 :surface tension, dimensional analysis

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