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

    Related Questions

    1.

    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

    2.

    Dimensions of bulk modulus are

    A

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

    B

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

    C

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

    D

    [M2L2T−1]\left[ {{{\rm{M}}^2}{{\rm{L}}^2}{{\rm{T}}^{ - 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 :2 mins
    🔄Ncert Concepts :bulk modulus, dimensional analysis, pressure, stress, strain

    3.

    The dimensional formula of 1ε0e2hc\frac{1}{{{\varepsilon _0}}}\frac{{{e^2}}}{{hc}} is

    A

    [M0L0T0A0]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^0}{{\rm{A}}^0}} \right]

    B

    [M−1L3T2A]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^2}{\rm{A}}} \right]

    C

    [ML3T−4A−2]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^{ - 4}}{{\rm{A}}^{ - 2}}} \right]

    D

    [M−1L−3T4]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^{ - 3}}{{\rm{T}}^4}} \right]

    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, Permittivity of Free Space, Elementary Charge, Planck's Constant, Speed of Light

    4.

    Which of the following is not a unit of energy

    A

    W-s

    B

    kg–m/sec

    C

    N-m

    D

    Joule

    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 :Energy, Units, Work, Power

    5.

    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

    6.

    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

    7.

    The dimensions of electric potential are

    A

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

    B

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

    C

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

    D

    [ML2T−2Q]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}{\rm{Q}}} \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 :electric potential, dimensional analysis, work, charge

    8.

    The Planck constant is 6.626imes10−346.626 imes 10^{-34} J s. Express this in units of eV s (electron-volt seconds), given 1 eV = 1.602imes10−191.602 imes 10^{-19} J.

    A

    4.136imes10−154.136 imes 10^{-15} eV s

    B

    1.062imes10−521.062 imes 10^{-52} eV s

    C

    2.418imes10142.418 imes 10^{14} eV s

    D

    6.626imes10−156.626 imes 10^{-15} eV s

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Unit Conversion, Energy, Planck's Constant

    9.

    The SI unit of gravitational potential is

    A

    J

    B

    Jkg−1{\rm{Jk}}{{\rm{g}}^{ - 1}}

    C

    Jkg{\rm{Jkg}}

    D

    Jkg2{\rm{Jk}}{{\rm{g}}^2}

    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 :gravitational potential, SI units

    10.

    The dimensional formula of the ratio of angular to linear momentum is

    A

    [M0LT0]\left[ {{{\rm{M}}^0}{\rm{L}}{{\rm{T}}^0}} \right]

    B

    [MLT]\left[ {{\rm{MLT}}} \right]

    C

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

    D

    [M−1L−1T−1]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^{ - 1}}{{\rm{T}}^{ - 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 :2 mins
    🔄Ncert Concepts :Dimensional analysis, Angular momentum, Linear momentum

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