CBSE notes, revision, important questions, MCQs, mock tests & result analytics

Structure of Atom

Electronic Configurations
Atomic Models
Quantum Mechanical Model
Electromagnetic Radiation and Quantum Theory
Atomic Spectra
Electron Configuration Principles
Photoelectric Effect
De Broglie Wavelength and Matter Waves
Heisenberg Uncertainty Principle
Atomic and Ionic Symbols
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CBSE Learning Objectives – Key Concepts & Skills You Must Know

Learning Objectives

  • Understand the electronic configurations of elements, including exceptional configurations, and their implications on chemical properties.
  • Describe the historical atomic models including Thomson, Rutherford, and Bohr models, and their contributions to modern atomic theory.
  • Explore the quantum mechanical model of the atom, including quantum numbers and their significance in defining atomic orbitals.
  • Understand the nature of electromagnetic radiation and Planck's quantum theory, and their applications in explaining phenomena like the photoelectric effect.
  • Study atomic spectra, including the Balmer series and transitions in hydrogen and helium ions, and their significance in atomic structure.
  • Apply the aufbau principle, Pauli exclusion principle, and Hund's rule in determining the electronic configurations of atoms.
  • Explain the photoelectric effect, including calculations of work function, threshold frequency, and kinetic energy of ejected electrons.
  • Understand the concept of matter waves and de Broglie wavelength, and their implications in technologies like electron microscopes.
  • Explore the Heisenberg uncertainty principle and its implications on the precision of measurements in quantum mechanics.
  • Determine atomic and ionic symbols based on mass number, atomic number, and charge, including isotopic and isoelectronic species.

CBSE Revision Notes & Quick Summary for Last-Minute Study

Chapter Notes

Electronic Configurations

  • Electronic Configurations: The arrangement of electrons in an atom's orbitals.
  • Exceptional Configurations: Some elements like Chromium (Cr) and Copper (Cu) have unique configurations due to electron stability preferences.
  • Table of Configurations: Provides configurations for elements like H, He, Li, etc., showing the filling order of orbitals.

Atomic Models

  • Thomson Model: Proposed the 'plum pudding' model where electrons are embedded in a positive sphere.
  • Rutherford Model: Introduced the nuclear model with a dense positive nucleus.
  • Bohr Model: Introduced quantized orbits for electrons, explaining atomic spectra.

Quantum Mechanical Model

  • Quantum Numbers: Define the properties of atomic orbitals and electrons:
    • Principal Quantum Number (n): Indicates the size and energy level of the orbital.
    • Azimuthal Quantum Number (l): Defines the shape of the orbital.
    • Magnetic Quantum Number (mₗ): Orientation of the orbital in space.
    • Spin Quantum Number (mₛ): Indicates the spin direction of the electron.

Electromagnetic Radiation and Quantum Theory

  • Electromagnetic Radiation: Waves of electric and magnetic fields; includes visible light.
  • Planck's Quantum Theory: Energy is quantized and emitted in discrete units called quanta.

Atomic Spectra

  • Balmer Series: Visible spectrum of hydrogen; transitions to n=2.
  • Significance: Provides evidence for quantized energy levels in atoms.

Electron Configuration Principles

  • Aufbau Principle: Electrons fill orbitals starting from the lowest energy level.
  • Pauli Exclusion Principle: No two electrons can have the same set of four quantum numbers.
  • Hund's Rule: Electrons fill degenerate orbitals singly before pairing.

Photoelectric Effect

  • Explanation: Ejection of electrons from a metal when light shines on it.
  • Key Calculations: Work function, threshold frequency, and kinetic energy of ejected electrons.

De Broglie Wavelength and Matter Waves

  • Matter Waves: Particles like electrons exhibit wave-like properties.
  • De Broglie Wavelength: λ = h/p, where h is Planck's constant and p is momentum.

Heisenberg Uncertainty Principle

  • Principle: It is impossible to simultaneously know the exact position and momentum of a particle.

Atomic and Ionic Symbols

  • Determination: Based on mass number, atomic number, and charge.
  • Isoelectronic Species: Species with the same number of electrons, e.g., Na⁺, Mg²⁺.

CBSE Exam Tips, Important Questions & Common Mistakes to Avoid

Common Mistakes & Exam Tips

Electronic Configurations

  • Mistake: Students often forget about exceptional electronic configurations, such as those for chromium (Cr) and copper (Cu), which do not follow the expected order.
    • Tip: Memorize the common exceptions and understand the reasons behind them, such as increased stability due to half-filled and fully filled subshells.

Atomic Models

  • Mistake: Confusion between the contributions of different atomic models (Thomson, Rutherford, Bohr).
    • Tip: Create a timeline of atomic model developments and summarize each model's key contributions and limitations.

Quantum Mechanical Model

  • Mistake: Misunderstanding the significance of quantum numbers and their role in defining atomic orbitals.
    • Tip: Practice writing out the quantum numbers for various electrons and use diagrams to visualize orbitals.

Electromagnetic Radiation and Quantum Theory

  • Mistake: Difficulty in applying Planck's quantum theory to phenomena like the photoelectric effect.
    • Tip: Work through numerical problems involving energy, frequency, and wavelength to solidify understanding.

Atomic Spectra

  • Mistake: Forgetting the significance of series like the Balmer series in hydrogen.
    • Tip: Use mnemonic devices to remember the order of spectral series and their corresponding transitions.

Electron Configuration Principles

  • Mistake: Incorrect application of the aufbau principle, Pauli exclusion principle, and Hund's rule.
    • Tip: Practice filling electron configurations for elements across the periodic table, paying special attention to the order of orbital filling.

Photoelectric Effect

  • Mistake: Errors in calculations involving work function, threshold frequency, and kinetic energy.
    • Tip: Ensure a strong grasp of the equations involved and practice with a variety of numerical problems.

De Broglie Wavelength and Matter Waves

  • Mistake: Overlooking the implications of matter waves in practical applications like electron microscopes.
    • Tip: Relate the concept of de Broglie wavelength to real-world technologies to better understand its significance.

Heisenberg Uncertainty Principle

  • Mistake: Misinterpreting the principle's implications on measurement precision.
    • Tip: Use thought experiments to explore the principle's meaning and limitations.

Atomic and Ionic Symbols

  • Mistake: Confusion in determining atomic and ionic symbols, especially for isotopic and isoelectronic species.
    • Tip: Practice writing symbols and configurations for a variety of ions and isotopes to gain confidence.

CBSE Quiz & Practice Test – MCQs, True/False Questions with Solutions

Multiple Choice Questions

A.

It explains the behavior of light as only waves.

B.

It describes light as having both wave-like and particle-like properties.

C.

It suggests that light behaves only as particles.

D.

It implies that light cannot be quantified.
Correct Answer: B

Solution:

Wave-particle duality is a fundamental concept in quantum mechanics that describes light as having both wave-like and particle-like properties, which is crucial in explaining phenomena like the photoelectric effect.

Chapter Concept:

Electromagnetic Radiation and Quantum Theory

A.

1.21×1010 m1.21 \times 10^{-10} \text{ m}

B.

4.84×1010 m4.84 \times 10^{-10} \text{ m}

C.

2.42×1010 m2.42 \times 10^{-10} \text{ m}

D.

1.21×109 m1.21 \times 10^{-9} \text{ m}
Correct Answer: A

Solution:

For a particle with mass 2m2m, the de Broglie wavelength λ=h2mv\lambda = \frac{h}{2mv}. Using the previous values: λ=6.626×10342×9.109×1031×1×106=1.21×1010 m\lambda = \frac{6.626 \times 10^{-34}}{2 \times 9.109 \times 10^{-31} \times 1 \times 10^6} = 1.21 \times 10^{-10} \text{ m}.

Chapter Concept:

De Broglie Wavelength and Matter Waves

A.

The uncertainty in momentum increases.

B.

The uncertainty in momentum decreases.

C.

The uncertainty in momentum remains the same.

D.

The uncertainty in momentum becomes zero.
Correct Answer: A

Solution:

According to the Heisenberg uncertainty principle, ΔxΔph4π\Delta x \Delta p \geq \frac{h}{4\pi}, where Δx\Delta x is the uncertainty in position and Δp\Delta p is the uncertainty in momentum. If Δx\Delta x is reduced, Δp\Delta p must increase to satisfy the inequality.

Chapter Concept:

Heisenberg Uncertainty Principle

A.

It determines the energy level of an electron.

B.

It specifies the shape of the electron's orbital.

C.

It indicates the orientation of the orbital in space.

D.

It defines the spin of the electron.
Correct Answer: B

Solution:

The quantum number ll, known as the azimuthal quantum number, specifies the shape of the electron's orbital.

Chapter Concept:

Electronic Configurations

A.

0

B.

1

C.

2

D.

3
Correct Answer: C

Solution:

Oxygen has the electronic configuration 1s22s22p41s^2 2s^2 2p^4, with two unpaired electrons in the 2p subshell.

Chapter Concept:

Electronic Configurations

A.

In elliptical orbits

B.

In circular orbits

C.

In random paths

D.

In stationary positions
Correct Answer: B

Solution:

Bohr's model postulated that electrons move around the nucleus in circular orbits, each corresponding to a specific energy level.

Chapter Concept:

Atomic Models

A.

It could not explain the stability of the atom.

B.

It did not account for the existence of protons.

C.

It ignored the wave nature of electrons.

D.

It proposed that electrons are stationary.
Correct Answer: A

Solution:

Rutherford's model could not explain why the electron does not fall into the nucleus, thus failing to account for the stability of the atom.

Chapter Concept:

Atomic Models

A.

Principal quantum number (nn)

B.

Azimuthal quantum number (ll)

C.

Magnetic quantum number (mlm_l)

D.

Spin quantum number (ss)
Correct Answer: D

Solution:

The quantum mechanical model of the atom includes the principal quantum number (nn), azimuthal quantum number (ll), and magnetic quantum number (mlm_l). The spin quantum number (ss) is not part of the Schrödinger equation solution for hydrogen.

Chapter Concept:

Quantum Mechanical Model

A.

Electrons are emitted with kinetic energy.

B.

Electrons are emitted without kinetic energy.

C.

No electrons are emitted.

D.

The metal heats up but no electrons are emitted.
Correct Answer: C

Solution:

No electrons are emitted because the frequency of the light is below the threshold frequency required to eject electrons.

Chapter Concept:

Photoelectric Effect

A.

0.5 V

B.

1.0 V

C.

1.5 V

D.

2.0 V
Correct Answer: C

Solution:

The energy of the incident photon is given by E=hνE = h \nu. Substituting the given values, E=6.626×1034×8×1014=5.301×1019 JE = 6.626 \times 10^{-34} \times 8 \times 10^{14} = 5.301 \times 10^{-19} \text{ J}. Converting this to eV, E=5.301×10191.602×1019=3.31 eVE = \frac{5.301 \times 10^{-19}}{1.602 \times 10^{-19}} = 3.31 \text{ eV}. The kinetic energy of the ejected electrons is K.E.=Eϕ=3.31 eV3 eV=0.31 eVK.E. = E - \phi = 3.31 \text{ eV} - 3 \text{ eV} = 0.31 \text{ eV}. The stopping potential V0V_0 is given by K.E.=eV0K.E. = eV_0, thus V0=0.31 VV_0 = 0.31 \text{ V}.

Chapter Concept:

Photoelectric Effect

A.

Aufbau principle

B.

Pauli exclusion principle

C.

Hund's rule

D.

Heisenberg uncertainty principle
Correct Answer: A

Solution:

The Aufbau principle states that electrons fill orbitals starting from the lowest energy level. Adding an electron to the 4s4s orbital before filling the 4p4p orbital violates this principle.

Chapter Concept:

Electron Configuration Principles

A.

Energy is emitted or absorbed in discrete units called quanta.

B.

Energy is continuous and can be emitted or absorbed in any amount.

C.

Electrons orbit the nucleus in fixed paths.

D.

Atoms are indivisible particles.
Correct Answer: A

Solution:

Planck's quantum theory states that energy is emitted or absorbed in discrete units called quanta.

Chapter Concept:

Electromagnetic Radiation and Quantum Theory

A.

6.626×1031 kg6.626 \times 10^{-31} \text{ kg}

B.

3.313×1031 kg3.313 \times 10^{-31} \text{ kg}

C.

1.325×1030 kg1.325 \times 10^{-30} \text{ kg}

D.

9.109×1031 kg9.109 \times 10^{-31} \text{ kg}
Correct Answer: B

Solution:

Using the de Broglie wavelength formula λ=hmv\lambda = \frac{h}{mv}, rearrange to find mass m=hλvm = \frac{h}{\lambda v}. Substituting the given values: m=6.626×10345×1010×2×106=3.313×1031 kgm = \frac{6.626 \times 10^{-34}}{5 \times 10^{-10} \times 2 \times 10^6} = 3.313 \times 10^{-31} \text{ kg}.

Chapter Concept:

De Broglie Wavelength and Matter Waves

A.

The electron's distance from the nucleus

B.

The electron's speed

C.

The electron's mass

D.

The electron's charge
Correct Answer: A

Solution:

In Bohr's model, the energy of an electron is determined by its orbit, which is defined by its distance from the nucleus. Each orbit corresponds to a specific energy level.

Chapter Concept:

Atomic Models

A.

1s22s22p41s^2 2s^2 2p^4

B.

1s22s22p63s23p64s23d104p65s24d105p66s24f145d106p67s21s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^6 5s^2 4d^{10} 5p^6 6s^2 4f^{14} 5d^{10} 6p^6 7s^2

C.

1s22s22p63s23p64s23d104p65s24d105p66s24f145d106p67s25f146d107p61s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^6 5s^2 4d^{10} 5p^6 6s^2 4f^{14} 5d^{10} 6p^6 7s^2 5f^{14} 6d^{10} 7p^6

D.

1s22s22p63s23p64s23d104p65s24d105p66s24f145d106p67s25f151s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^6 5s^2 4d^{10} 5p^6 6s^2 4f^{14} 5d^{10} 6p^6 7s^2 5f^{15}
Correct Answer: D

Solution:

The Pauli exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers. The configuration in option D has 5f155f^{15}, which violates this principle as the ff subshell can hold a maximum of 14 electrons.

Chapter Concept:

Electron Configuration Principles

A.

Thomson's plum pudding model

B.

Rutherford's nuclear model

C.

Bohr's planetary model

D.

Schrödinger's quantum mechanical model
Correct Answer: B

Solution:

Rutherford's nuclear model introduced the concept of a tiny positively charged nucleus at the center of the atom, with electrons revolving around it.

Chapter Concept:

Atomic Models

A.

Emission of electrons when light strikes a material.

B.

Scattering of alpha particles by a thin foil.

C.

Absorption of light by electrons in an atom.

D.

Reflection of light from a surface.
Correct Answer: A

Solution:

The photoelectric effect explains the emission of electrons when light strikes a material.

Chapter Concept:

Electromagnetic Radiation and Quantum Theory

A.

Diamagnetic, as all electrons are paired.

B.

Paramagnetic, due to one unpaired electron.

C.

Ferromagnetic, due to multiple unpaired electrons.

D.

Antiferromagnetic, due to alternating spins.
Correct Answer: B

Solution:

The electronic configuration 1s22s22p63s23p51s^2 2s^2 2p^6 3s^2 3p^5 indicates one unpaired electron in the 3p3p subshell, making the atom paramagnetic according to Hund's rule.

Chapter Concept:

Electron Configuration Principles

A.

Aufbau Principle

B.

Pauli Exclusion Principle

C.

Hund's Rule

D.

Heisenberg Uncertainty Principle
Correct Answer: B

Solution:

The Pauli Exclusion Principle states that no two electrons in an atom can have the same set of four quantum numbers.

Chapter Concept:

Electronic Configurations

A.

Mass

B.

Velocity

C.

Wavelength

D.

Charge
Correct Answer: C

Solution:

De Broglie's hypothesis states that particles of matter have an associated wavelength, known as the de Broglie wavelength, which is a manifestation of wave-particle duality.

Chapter Concept:

De Broglie Wavelength and Matter Waves

A.

[Ar]3d104s24p1[Ar] 3d^{10} 4s^2 4p^1

B.

[Ar]3d54s1[Ar] 3d^{5} 4s^1

C.

[Kr]4d105s25p3[Kr] 4d^{10} 5s^2 5p^3

D.

[Xe]4f145d106s2[Xe] 4f^{14} 5d^{10} 6s^2
Correct Answer: B

Solution:

The electronic configuration [Ar]3d54s1[Ar] 3d^{5} 4s^1 is an exception to the Aufbau principle due to the half-filled stability of the 3d3d subshell in chromium.

Chapter Concept:

Electronic Configurations

A.

Energy is emitted or absorbed in continuous waves.

B.

Energy is emitted or absorbed in discrete packets called quanta.

C.

Energy levels are continuous and can have any value.

D.

Energy is only emitted in the form of visible light.
Correct Answer: B

Solution:

Planck's quantum theory states that energy is quantized and is emitted or absorbed in discrete packets called quanta, not in a continuous manner.

Chapter Concept:

Electromagnetic Radiation and Quantum Theory

A.

7.28×1010 m7.28 \times 10^{-10} \text{ m}

B.

1.21×109 m1.21 \times 10^{-9} \text{ m}

C.

2.42×1010 m2.42 \times 10^{-10} \text{ m}

D.

3.63×1010 m3.63 \times 10^{-10} \text{ m}
Correct Answer: A

Solution:

Chapter Concept:

De Broglie Wavelength and Matter Waves

A.

Both properties can be measured with absolute certainty simultaneously.

B.

The more precisely one property is measured, the less precisely the other can be known.

C.

Both properties cannot be measured at all.

D.

The principle applies only to macroscopic objects.
Correct Answer: B

Solution:

The Heisenberg uncertainty principle states that the more precisely the position of a particle is determined, the less precisely its momentum can be known, and vice versa.

Chapter Concept:

Heisenberg Uncertainty Principle

A.

[Ar]3d104s1[Ar] 3d^{10} 4s^1; it is a transition metal with high electrical conductivity.

B.

[Ar]3d94s2[Ar] 3d^9 4s^2; it is a poor conductor of electricity.

C.

[Ar]3d104s2[Ar] 3d^{10} 4s^2; it is a noble gas.

D.

[Ar]3d84s2[Ar] 3d^8 4s^2; it is a metalloid.
Correct Answer: A

Solution:

The electronic configuration [Ar]3d104s1[Ar] 3d^{10} 4s^1 corresponds to copper (atomic number 29), which is a transition metal known for its excellent electrical conductivity.

Chapter Concept:

Electronic Configurations

A.

Only the principal quantum number (nn)

B.

Only the azimuthal quantum number (ll)

C.

The sum of the principal and azimuthal quantum numbers (n+ln + l)

D.

The magnetic quantum number (mlm_l) and spin quantum number (msm_s)
Correct Answer: C

Solution:

In a multi-electron atom, the energy of an electron is determined by the sum of the principal quantum number (nn) and the azimuthal quantum number (ll). The lower the value of (n+ln + l), the lower the energy of the orbital.

Chapter Concept:

Quantum Mechanical Model

A.

It cannot explain the stability of the atom.

B.

It ignores the wave nature of electrons.

C.

It does not account for the existence of protons.

D.

It fails to describe the photoelectric effect.
Correct Answer: B

Solution:

The Bohr model treats electrons as particles in fixed orbits and does not consider their wave-like properties, which is a significant limitation.

Chapter Concept:

Atomic Spectra

A.

n=3n=3 to n=2n=2

B.

n=4n=4 to n=3n=3

C.

n=5n=5 to n=4n=4

D.

n=6n=6 to n=1n=1
Correct Answer: D

Solution:

The transition from n=6n=6 to n=1n=1 involves the largest energy difference, resulting in the emission of a photon with the shortest wavelength, according to the formula E=hcλE = \frac{hc}{\lambda}.

Chapter Concept:

Atomic Spectra

A.

Lyman series

B.

Balmer series

C.

Paschen series

D.

Brackett series
Correct Answer: B

Solution:

The Balmer series corresponds to the transitions of electrons in a hydrogen atom that result in the emission of visible light.

Chapter Concept:

Atomic Spectra

A.

λ=hmv\lambda = \frac{h}{mv}

B.

λ=mvh\lambda = \frac{mv}{h}

C.

λ=hv\lambda = \frac{h}{v}

D.

λ=hm\lambda = \frac{h}{m}
Correct Answer: A

Solution:

The de Broglie wavelength λ\lambda is given by the formula λ=hmv\lambda = \frac{h}{mv}, where hh is Planck's constant.

Chapter Concept:

De Broglie Wavelength and Matter Waves

A.

The stability of the atom

B.

The wave-particle duality of electrons

C.

The existence of subatomic particles

D.

The electromagnetic spectrum
Correct Answer: B

Solution:

The Bohr model did not account for the wave-particle duality of electrons, which was later addressed by quantum mechanics through the Schrödinger equation.

Chapter Concept:

Atomic Models

A.

All orbitals within a given shell have the same energy in multi-electron atoms.

B.

The energy of orbitals in multi-electron atoms depends on the values of nn and ll.

C.

Orbitals are clearly defined paths around the nucleus.

D.

Orbitals are the same as orbits in the Bohr model.
Correct Answer: B

Solution:

In multi-electron atoms, the energy of orbitals depends on the values of nn and ll. The lower the value of (n+l)(n + l), the lower the energy. If two orbitals have the same (n+l)(n + l) value, the orbital with the lower nn has lower energy.

Chapter Concept:

Quantum Mechanical Model

A.

612C^{12}_6C

B.

612N^{12}_6N

C.

66C^{6}_6C

D.

66N^{6}_6N
Correct Answer: A

Solution:

The atomic symbol 612C^{12}_6C represents a carbon atom with 6 protons and 6 neutrons, giving it a mass number of 12.

Chapter Concept:

Atomic and Ionic Symbols

A.

The energy required to remove an electron from the surface of a metal.

B.

The frequency of light needed to emit electrons from a metal surface.

C.

The kinetic energy of ejected electrons.

D.

The wavelength of light used in the photoelectric effect.
Correct Answer: A

Solution:

The work function is the minimum energy required to remove an electron from the surface of a metal in the photoelectric effect.

Chapter Concept:

Photoelectric Effect

A.

Nitrogen (1s22s22p31s^2 2s^2 2p^3)

B.

Oxygen (1s22s22p41s^2 2s^2 2p^4)

C.

Carbon (1s22s22p21s^2 2s^2 2p^2)

D.

Fluorine (1s22s22p51s^2 2s^2 2p^5)
Correct Answer: B

Solution:

Oxygen's electronic configuration 1s22s22p41s^2 2s^2 2p^4 can be written as 1s22s22px22py12pz11s^2 2s^2 2p_x^2 2p_y^1 2p_z^1, which follows Hund's rule. However, if the electrons were paired in the same orbital, it would violate Hund's rule.

Chapter Concept:

Electronic Configurations

A.

Copper (CuCu)

B.

Neon (NeNe)

C.

Helium (HeHe)

D.

Argon (ArAr)
Correct Answer: A

Solution:

Copper has an exceptional electronic configuration of [Ar]3d104s1[Ar] 3d^{10} 4s^1 due to the stability of a filled d subshell.

Chapter Concept:

Electronic Configurations

A.

Dalton's Model

B.

Thomson's Model

C.

Rutherford's Model

D.

Bohr's Model
Correct Answer: B

Solution:

Thomson's model, also known as the 'plum pudding model', proposed that an atom consists of a uniform sphere of positive charge with electrons embedded into it.

Chapter Concept:

Atomic Models

A.

1.72 eV

B.

2.48 eV

C.

3.10 eV

D.

4.02 eV
Correct Answer: A

Solution:

The energy of the incident photon is given by E=hcλE = \frac{hc}{\lambda}. Substituting the given values, E=6.626×1034×3×108200×109=9.939×1019 JE = \frac{6.626 \times 10^{-34} \times 3 \times 10^{8}}{200 \times 10^{-9}} = 9.939 \times 10^{-19} \text{ J}. Converting this to eV, E=9.939×10191.602×1019=6.20 eVE = \frac{9.939 \times 10^{-19}}{1.602 \times 10^{-19}} = 6.20 \text{ eV}. The maximum kinetic energy of the ejected electrons is K.E.=Eϕ=6.20 eV4.5 eV=1.70 eVK.E. = E - \phi = 6.20 \text{ eV} - 4.5 \text{ eV} = 1.70 \text{ eV}.

Chapter Concept:

Photoelectric Effect

A.

Principal quantum number (nn)

B.

Azimuthal quantum number (ll)

C.

Magnetic quantum number (mlm_l)

D.

Spin quantum number (msm_s)
Correct Answer: B

Solution:

The azimuthal quantum number (ll) defines the shape of the atomic orbital. It determines the subshell in which the electron resides, and each value of ll corresponds to a different orbital shape (s, p, d, f).

Chapter Concept:

Quantum Mechanical Model

A.

124 nm

B.

1240 nm

C.

12400 nm

D.

124000 nm
Correct Answer: A

Solution:

The energy of the photon is 10 eV. Using the formula E=hcλE = \frac{hc}{\lambda}, we can solve for λ\lambda: λ=hcE=4.135667696×1015×3×10810=124 nm\lambda = \frac{hc}{E} = \frac{4.135667696 \times 10^{-15} \times 3 \times 10^8}{10} = 124 \ nm.

Chapter Concept:

Atomic Spectra

A.

The uncertainty in position decreases.

B.

The uncertainty in position increases.

C.

The uncertainty in position remains the same.

D.

The uncertainty in position becomes zero.
Correct Answer: A

Solution:

According to the Heisenberg uncertainty principle, ΔkΔx12\Delta k \Delta x \geq \frac{1}{2}, where Δk\Delta k is the uncertainty in wave number and Δx\Delta x is the uncertainty in position. Increasing Δk\Delta k results in a decrease in Δx\Delta x to satisfy the inequality.

Chapter Concept:

Heisenberg Uncertainty Principle

A.

Discovery of the neutron

B.

Quantized energy levels

C.

Existence of protons

D.

Formation of chemical bonds
Correct Answer: B

Solution:

Solving the Schrödinger equation for the hydrogen atom results in quantized energy levels. These energy levels are characterized by quantum numbers and describe the allowed states for the electron.

Chapter Concept:

Quantum Mechanical Model

A.

Na+Na^+

B.

FF^-

C.

O2O^{2-}

D.

All of the above
Correct Answer: D

Solution:

All the ions Na+Na^+, FF^-, and O2O^{2-} have 10 electrons, making them isoelectronic with the noble gas neon (NeNe), which also has 10 electrons.

Chapter Concept:

Atomic and Ionic Symbols

A.

Heisenberg uncertainty principle

B.

Pauli exclusion principle

C.

Hund's rule

D.

Aufbau principle
Correct Answer: B

Solution:

The Pauli exclusion principle states that no two electrons in the same atom can have identical sets of four quantum numbers. This principle is crucial for defining the electronic structure of atoms.

Chapter Concept:

Quantum Mechanical Model

A.

Electron microscope

B.

Optical telescope

C.

Radio telescope

D.

Thermal camera
Correct Answer: A

Solution:

The electron microscope uses the concept of matter waves, specifically the wave nature of electrons, to achieve high resolution.

Chapter Concept:

De Broglie Wavelength and Matter Waves

A.

The principal quantum number nn only.

B.

The azimuthal quantum number ll only.

C.

The sum of nn and ll values.

D.

The magnetic quantum number mlm_l only.
Correct Answer: C

Solution:

In a multi-electron atom, the energy of an electron is determined by the sum of the principal quantum number nn and the azimuthal quantum number ll.

Chapter Concept:

Electromagnetic Radiation and Quantum Theory

A.

1s22s22p21s^2 2s^2 2p^2

B.

1s22s22p41s^2 2s^2 2p^4

C.

1s22s22p61s^2 2s^2 2p^6

D.

1s22s23s21s^2 2s^2 3s^2
Correct Answer: A

Solution:

The correct electron configuration for a carbon atom is 1s22s22p21s^2 2s^2 2p^2.

Chapter Concept:

Electron Configuration Principles

A.

Electrons should pair up in each orbital before moving to the next.

B.

Electrons should fill the lowest energy orbitals first.

C.

Electrons should occupy empty orbitals singly before pairing up.

D.

Electrons should be distributed randomly.
Correct Answer: C

Solution:

Hund's rule states that electrons should occupy empty orbitals singly before pairing up in orbitals of the same energy.

Chapter Concept:

Electron Configuration Principles

A.

1s22s22p63s11s^2 2s^2 2p^6 3s^1

B.

1s22s22p63p11s^2 2s^2 2p^6 3p^1

C.

1s22s22p53s21s^2 2s^2 2p^5 3s^2

D.

1s22s22p63s21s^2 2s^2 2p^6 3s^2
Correct Answer: A

Solution:

The element with atomic number 11 is sodium, and its electronic configuration is 1s22s22p63s11s^2 2s^2 2p^6 3s^1.

Chapter Concept:

Electronic Configurations

A.

Aufbau principle

B.

Pauli exclusion principle

C.

Hund's rule

D.

Heisenberg uncertainty principle
Correct Answer: B

Solution:

The Pauli exclusion principle states that no two electrons in the same atom can have the same set of quantum numbers.

Chapter Concept:

Quantum Mechanical Model

A.

Emission of electrons from a metal surface when exposed to light of sufficient frequency.

B.

Absorption of photons by electrons in an atom, causing them to jump to higher energy levels.

C.

Scattering of photons by atoms, leading to a change in their wavelength.

D.

Reflection of light from a metal surface without any change in energy.
Correct Answer: A

Solution:

The photoelectric effect involves the emission of electrons from a metal surface when it is exposed to light of a frequency above a certain threshold, demonstrating the particle nature of light.

Chapter Concept:

Electromagnetic Radiation and Quantum Theory

A.

Lyman series

B.

Balmer series

C.

Paschen series

D.

Brackett series
Correct Answer: B

Solution:

The Balmer series corresponds to the transitions of electrons from higher energy levels to the second energy level (n=2) in the hydrogen atom.

Chapter Concept:

Atomic Spectra

A.

It supports the idea of electrons in fixed orbits.

B.

It contradicts the idea of electrons having well-defined orbits.

C.

It suggests that electrons do not exist.

D.

It has no effect on the Bohr model.
Correct Answer: B

Solution:

The Heisenberg uncertainty principle contradicts the Bohr model's assumption of electrons having well-defined orbits because it is impossible to know both the position and velocity of an electron precisely.

Chapter Concept:

Heisenberg Uncertainty Principle

A.

1634S2^{34}_{16}S^{2-}

B.

1634S+^{34}_{16}S^{+}

C.

1634S2+^{34}_{16}S^{2+}

D.

1634S^{34}_{16}S^{-}
Correct Answer: A

Solution:

The element with atomic number 16 is sulfur (SS). To be isoelectronic with argon (ArAr), which has 18 electrons, sulfur must gain 2 electrons, forming the ion 1634S2^{34}_{16}S^{2-}.

Chapter Concept:

Atomic and Ionic Symbols

A.

It supports the idea of fixed electron orbits.

B.

It contradicts the idea of fixed electron orbits.

C.

It explains the stability of electron orbits.

D.

It is irrelevant to the Bohr model.
Correct Answer: B

Solution:

The Heisenberg uncertainty principle contradicts the idea of fixed electron orbits in the Bohr model because it states that the exact position and velocity of an electron cannot be known simultaneously.

Chapter Concept:

Electromagnetic Radiation and Quantum Theory

A.

1531P3^{31}_{15}P^{3-}

B.

1531P3+^{31}_{15}P^{3+}

C.

1531P^{31}_{15}P^{-}

D.

1531P+^{31}_{15}P^{+}
Correct Answer: A

Solution:

The atomic number (15) indicates the number of protons, which is equal to the number of electrons in a neutral atom. The mass number (31) indicates the sum of protons and neutrons. For a 3- charge, the atom has gained 3 electrons, making the ionic symbol 1531P3^{31}_{15}P^{3-}.

Chapter Concept:

Atomic and Ionic Symbols

A.

It describes the motion of macroscopic objects.

B.

It provides the possible energy states and wave functions of electrons.

C.

It explains the photoelectric effect.

D.

It describes the distribution of protons in the nucleus.
Correct Answer: B

Solution:

The Schrödinger equation, when solved for the hydrogen atom, provides the possible energy states the electron can occupy and the corresponding wave functions, which are characterized by quantum numbers.

Chapter Concept:

Quantum Mechanical Model

A.

It supports the notion of fixed electron orbits.

B.

It contradicts the idea of electrons having precise orbits with known velocities and positions.

C.

It confirms the stability of electron orbits.

D.

It suggests that electrons are stationary within the atom.
Correct Answer: B

Solution:

The Heisenberg uncertainty principle states that it is impossible to know both the exact position and velocity of an electron simultaneously, which contradicts the Bohr model's assumption of defined electron orbits.

Chapter Concept:

Electromagnetic Radiation and Quantum Theory