1.

    The dimensions of coefficient of viscosity are:

    A

    [MLT−1][MLT^{-1}]

    B

    [ML−1T−1][ML^{-1}T^{-1}]

    C

    [MLT−2][MLT^{-2}]

    D

    [ML−1T−2][ML^{-1}T^{-2}]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional Analysis, Viscosity

    Related Questions

    1.

    Which physical quantity has the same dimensions as ForceimesArea(Current)2\frac{Force imes Area}{(Current)^2}?

    A

    Inductance

    B

    Resistance

    C

    Permeability * Area

    D

    Capacitance

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    PYQ YEAR: 2022
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Electromagnetism, Dimensions, Force, Area, Current

    2.

    A force FF is given by the equation F=αt3+βF = \alpha t^3 + \beta. If FF is in Newtons and tt is in seconds, what are the units of α\alpha and β\beta respectively?

    A

    extN/exts3ext{N}/ext{s}^3, N

    B

    extN/exts2ext{N}/ext{s}^2, extN/extsext{N}/ext{s}

    C

    extN⋅exts3ext{N} \cdot ext{s}^3, N

    D

    N, extN/exts3ext{N}/ext{s}^3

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    PYQ YEAR: 2024
    🎓 Ncert Level:Understanding
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional Analysis, Force, Units and Measurement

    3.

    If the velocity of light (C)\left( C \right) gravitational constant (G)\left( G \right) and Planck’s constant hh are chosen as fundamental units,then the dimensions of mass in new system is

    A

    C1/2  G1/2  h1/2{C^{1/2}}\,\,{G^{1/2}}\,\,{h^{1/2}}

    B

    C1/2  G1/2  h−1/2{C^{1/2}}\,\,{G^{1/2}}\,\,{h^{ - 1/2}}

    C

    C1/2  G−1/2  h1/2{C^{1/2}}\,\,{G^{ - 1/2}}\,\,{h^{1/2}}

    D

    C−1/2  G1/2  h1/2{C^{ - 1/2}}\,\,{G^{1/2}}\,\,{h^{1/2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :dimensional analysis, fundamental units, Planck's constant, gravitational constant, speed of light

    4.

    If a quantity has dimensions [MLT−2A−2][MLT^{-2}A^{-2}], it could be:

    A

    The permeability of free space

    B

    The permittivity of free space

    C

    The resistance of a wire

    D

    The inductance of a coil

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    PYQ YEAR: 2022
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Electromagnetism, Dimensions

    5.

    Dimensions of planck’s constant is:

    A

    [M1L2T−1]\left[ {{M^1}{L^2}{T^{ - 1}}} \right]

    B

    [M2L2T−2]\left[ {{M^2}{L^2}{T^{ - 2}}} \right]

    C

    [M1L2T−3]\left[ {{M^1}{L^2}{T^{ - 3}}} \right]

    D

    [M1L1T−1]\left[ {{M^1}{L^1}{T^{ - 1}}} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Planck's constant, Dimensional Analysis, Energy, Frequency

    6.

    If the velocity of light cc, gravitational constant GG, and Planck's constant hh are chosen as fundamental units, then the dimensions of mass in this system are:

    A

    [c1/2G−1/2h1/2][c^{1/2}G^{-1/2}h^{1/2}]

    B

    [c−1/2G1/2h1/2][c^{-1/2}G^{1/2}h^{1/2}]

    C

    [c1/2G1/2h−1/2][c^{1/2}G^{1/2}h^{-1/2}]

    D

    [c−1/2G−1/2h−1/2][c^{-1/2}G^{-1/2}h^{-1/2}]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional Formula, Planck's Constant, Gravitational Constant, Speed of Light

    7.

    Which quantity has the same dimensional formula as force times distance?

    A

    Momentum

    B

    Power

    C

    Work

    D

    Impulse

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    🎓 Ncert Level:Understanding
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Dimensional Formula, Work, Force

    8.

    The dimensions of power are

    A

    M1L2T−3{M^1}{L^2}{T^{ - 3}}

    B

    M2L1T−2{M^2}{L^1}{T^{ - 2}}

    C

    M1L2  T−1{M^1}{L^2}\;{T^{ - 1}}

    D

    M1L1T−2{M^1}{L^1}{T^{ - 2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Power, Dimensional Analysis

    9.

    The dimensions of gravitational constant G and the moment of inertia are respectively

    A

    [ML3T−2];[ML2T0]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^{ - 2}}} \right];\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^0}} \right]

    B

    [M−1L3T−2];[ML2T0]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^{ - 2}}} \right];\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^0}} \right]

    C

    [M−1L3T−2];[M−1L2T]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^{ - 2}}} \right];\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^2}{\rm{T}}} \right]

    D

    [ML3T−2];[M−1L2T]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^{ - 2}}} \right];\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^2}{\rm{T}}} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Gravitational constant, Moment of inertia, Dimensional analysis

    10.

    The dimensions of coefficient of viscosity are:

    A

    [MLT−1][MLT^{-1}]

    B

    [ML−1T−1][ML^{-1}T^{-1}]

    C

    [MLT−2][MLT^{-2}]

    D

    [ML−1T−2][ML^{-1}T^{-2}]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Dimensional Formula
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional Analysis, Viscosity

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