1.

    What is the dimensional formula of mc2m{c^2}, where the letters have their usual meanings?

    A

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

    B

    [ML0T0]\left[ {{\rm{M}}{{\rm{L}}^0}{{\rm{T}}^0}} \right]

    C

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

    D

    [M−1L3T6]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^6}} \right]

    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 :Dimensional Analysis, Mass, Speed of light, Energy

    Related Questions

    1.

    Dimensional formula of Stefan’s constant is

    A

    MT−3K−4M{T^{ - 3}}{K^{ - 4}}

    B

    ML2T−2K−4M{L^2}{T^{ - 2}}{K^{ - 4}}

    C

    ML2T−2M{L^2}{T^{ - 2}}

    D

    MT−2L0M{T^{ - 2}}{L^0}

    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 :Stefan-Boltzmann Law, Dimensional Analysis

    2.

    The dimensional formula of magnetic flux is

    A

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

    B

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

    C

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

    D

    [ML2T−2A−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 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 :Magnetic flux, Dimensional analysis, Force on a current-carrying wire, magnetic field

    3.

    The dimensions of universal gas constant is

    A

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

    B

    [M2LT−2heta]\left[ {{M^2}L{T^{ - 2}}heta } \right]

    C

    [ML3T−1heta−1]\left[ {M{L^3}{T^{ - 1}}{heta ^{ - 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:Application
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional Analysis, Universal Gas Constant

    4.

    Dimensional formula of Stefan’s constant is

    A

    [MT−3K−4]\left[ {{\rm{M}}{{\rm{T}}^{ - 3}}{{\rm{K}}^{ - 4}}} \right]

    B

    [ML2T−2K−4]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{{\rm{K}}^{ - 4}}} \right]

    C

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

    D

    [MT−2L0]\left[ {{\rm{M}}{{\rm{T}}^{ - 2}}{{\rm{L}}^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 :Stefan-Boltzmann Law, Dimensional Analysis

    5.

    A car travels 100 km in 2 hours. What is its speed in m/s?

    A

    27.78 m/s

    B

    13.89 m/s

    C

    6.94 m/s

    D

    50 m/s

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Unit Conversion, Speed

    6.

    The only mechanical quantity which has negative dimension of mass is

    A

    Angular momentum

    B

    Torque

    C

    Coefficient of thermal conductivity

    D

    Gravitational constant

    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 :Dimensional analysis, Gravitational constant, Angular momentum, Torque, Thermal conductivity

    7.

    The equation of alternating current is I=I0e−t/CRI = {I_0}{e^{ - t/CR}}, where t is time, C is capacitance and R is resistance of coil, then the dimensions of C R is

    A

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

    B

    [M0LT]\left[ {{{\rm{M}}^0}{\rm{LT}}} \right]

    C

    [M0L0T]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{\rm{T}}} \right]

    D

    None of these

    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, Exponential function

    8.

    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

    9.

    Force constant has the same dimensions as

    A

    Coefficient of viscosity

    B

    Surface tension

    C

    Frequency

    D

    Impulse

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Force constant, Dimensions, Surface tension, Dimensional analysis

    10.

    The dimensions of universal gravitational constant are

    A

    M−2L2T−2{M^{ - 2}}{L^2}{T^{ - 2}}

    B

    M−1L3T−2{M^{ - 1}}{L^3}{T^{ - 2}}

    C

    ML−1T−2M{L^{ - 1}}{T^{ - 2}}

    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 :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Universal Gravitational Constant, Dimensional Analysis

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