1.

    The ionization energy of hydrogen is 13.6 eV. Express this energy in joules per mole using the following conversions: 1 eV = 1.602imes10−191.602 imes 10^{-19} J and Avogadro's number = 6.022imes10236.022 imes 10^{23} mol−1mol^{-1}.

    A

    1.31imes1031.31 imes 10^3 J/mol

    B

    2.18imes10−202.18 imes 10^{-20} J/mol

    C

    1.31imes1061.31 imes 10^6 J/mol

    D

    8.21imes1058.21 imes 10^5 J/mol

    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, Mole Concept

    Related Questions

    1.

    The dimensions of coefficient of self inductance are

    A

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

    B

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

    C

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

    D

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

    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 :self inductance, dimensional analysis, energy of inductor

    2.

    In the following list, the only pair which have different dimensions, is

    A

    Linear momentum and moment of a force

    B

    Planck’s constant and angular momentum

    C

    Pressure and modulus of electricity

    D

    Torque and potential 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 :3 mins
    🔄Ncert Concepts :Dimensions, Linear momentum, Moment of a force, Planck's constant, Angular momentum, Pressure, Modulus of elasticity, Torque, Potential energy

    3.

    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, Gravitational Constant, Coulomb's Constant, Speed of Light

    4.

    Surface tension has the same dimensions as that of

    A

    Coefficient of viscosity

    B

    Impulse

    C

    Momentum

    D

    Spring 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 :3 mins
    🔄Ncert Concepts :Surface tension, Dimensions, Spring constant, Dimensional analysis

    5.

    A chemist measures a reaction rate as 2.5imes10−32.5 imes 10^{-3} mol L−1^{-1} s−1s^{-1}. Express this rate in molecules cm−3cm^{-3} μs−1\mu s^{-1} (molecules per cubic centimeter per microsecond). Avogadro's number = 6.022imes10236.022 imes 10^{23} molecules/mol.

    A

    1.5imes10121.5 imes 10^{12} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    B

    2.5imes10182.5 imes 10^{18} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    C

    1.5imes10151.5 imes 10^{15} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    D

    4.2imes10204.2 imes 10^{20} molecules cm−3cm^{-3} μs−1\mu s^{-1}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Unit Conversion, Reaction Rate, Avogadro's Number

    6.

    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

    7.

    Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be

    A

    [ML2T−3I−1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{I}}^{ - 1}}} \right]

    B

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

    C

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

    D

    [ML2T−3I−2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{I}}^{ - 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 :3 mins
    🔄Ncert Concepts :Ohm's Law, Dimensional Analysis, Power, Work/Energy

    8.

    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

    9.

    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

    10.

    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

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