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 speed of light is approximately 3imes1083 imes 10^8 m/s. If a star is 4 light-years away, what is its distance in kilometers? (1 light-year = distance light travels in one year)

    A

    3.8imes10103.8 imes 10^{10} km

    B

    1.2imes10131.2 imes 10^{13} km

    C

    3.8imes10133.8 imes 10^{13} km

    D

    1.2imes1091.2 imes 10^9 km

    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, Speed, Distance, Time

    2.

    The dimensional formula of modulus of rigidity is

    A

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

    B

    [ML−3T2]\left[ {{\rm{M}}{{\rm{L}}^{ - 3}}{{\rm{T}}_2}} \right]

    C

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

    D

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

    3.

    What is the dimensional formula of planck s  constantlinear  momentum?\frac{{{\rm{planck}}\,{\rm{s\;constant}}}}{{{\rm{linear\;momentum}}}}?

    A

    [L]

    B

    [T]

    C

    [M]

    D

    [M L T]

    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, planck's constant, linear momentum

    4.

    In the equation Snth{S_{nth}} the =u+a2(2n−1), = u + \frac{a}{2}\left( {2n - 1} \right), the letters have their usual meanings. The dimensional formula of Snth{S_{nth}} is

    A

    [L]

    B

    [LT⁻¹]

    C

    [LT⁻²]

    D

    [T]

    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 :kinematics, dimensional analysis, displacement

    5.

    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

    6.

    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:Application
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Force constant, Dimensions, Surface tension, Dimensional Analysis

    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.

    The dimensional formula for areal velocity is

    A

    [M0L−2T]\left[ {{{\rm{M}}^0}{{\rm{L}}^{ - 2}}{\rm{T}}} \right]

    B

    [M0L−2T−1]\left[ {{{\rm{M}}^0}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 1}}} \right]

    C

    [M0L2T−1]\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}} \right]

    D

    [M0L2T]\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{\rm{T}}} \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, Areal velocity

    9.

    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

    10.

    The dimensional formula of magnetic induction B is

    A

    [M0ALT0]\left[ {{{\rm{M}}^0}{\rm{AL}}{{\rm{T}}^0}} \right]

    B

    [M0AL−1T0]\left[ {{{\rm{M}}^0}{\rm{A}}{{\rm{L}}^{ - 1}}{{\rm{T}}^0}} \right]

    C

    [M0AL2T0]\left[ {{{\rm{M}}^0}{\rm{A}}{{\rm{L}}^2}{{\rm{T}}^0}} \right]

    D

    [MT−2A−1]\left[ {{\rm{M}}{{\rm{}}}{{\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 :2 mins
    🔄Ncert Concepts :Magnetic induction, Dimensional analysis, Force on a moving charge in magnetic field

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