Atomic Structure MCQs and Assertions

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Questions and Answers

What is the radius of the second Bohr's orbit for hydrogen atoms?

  • 2.12 Å (correct)
  • 4.76 Å
  • 1.65 Å
  • 0.529 Å

How many orbitals are associated with the third shell?

  • 2
  • 4
  • 3
  • 9 (correct)

Who was the first scientist to propose a model for the structure of an atom?

  • J.J. Thomson
  • E. Goldstein
  • John Dalton (correct)
  • Ernest Rutherford

What is the number of angular nodes for a 4d orbital?

<p>2 (B)</p>
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What is the mass number of a nucleus?

<p>Sometimes equal and sometimes more than its atomic number (C)</p>
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In the context of assertions and reasons, what does Assertion A state about black bodies?

<p>They emit and absorb radiation of all frequencies. (D)</p>
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What is indicated by the assertion that atoms are electrically neutral?

<p>The number of protons is equal to the number of electrons. (B)</p>
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Which of the following correctly describes the uncertainty in position and velocity of an electron?

<p>If uncertainty in position equals de-Broglie wavelength, velocity is uncertain. (A)</p>
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What is the wavelength of the electromagnetic radiation emitted by the Vividh Bharati transmitter broadcasting at 1,368 kHz?

<p>220 meters (C)</p>
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Which part of the electromagnetic spectrum does the frequency of 1,368 kHz typically belong to?

<p>Radio waves (A)</p>
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If an orbital has quantum number n = 2, what are the possible values of l?

<p>0, 1 (D)</p>
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Which quantum number describes the orientation of an orbital?

<p>m_l (D)</p>
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What is the significance of the spin quantum number (m_s) for an electron?

<p>Describes the direction of the electron's spin (B)</p>
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Bohr's model of the atom could not explain which of the following phenomena?

<p>Zeeman effect (D)</p>
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Which principle states that no two electrons in an atom can have the same set of four quantum numbers?

<p>Pauli Exclusion Principle (B)</p>
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What characterizes atomic orbitals?

<p>Their size, shape, and orientation (A)</p>
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Flashcards

What is the mass number of an atom?

The mass number of an atom is the total number of protons and neutrons in its nucleus. It is represented by the letter "A".

What is a black body?

A black body is an ideal object that absorbs all electromagnetic radiation that falls on it and then emits radiation of all frequencies, depending only on the temperature of the body.

What is the Bohr model of the atom?

The Bohr model describes the atom as a small, positively charged nucleus surrounded by negatively charged electrons that travel in circular orbits around the nucleus. The model was based on the idea that the energy of an electron is quantized, meaning that it can only exist at certain discrete energy levels. Although the Bohr model made accurate predictions for the hydrogen atom, it did not work well for atoms with more than one electron.

What is the uncertainty principle?

The uncertainty principle states that it is impossible to know both the position and momentum of a particle with absolute certainty.

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How do isotopes of an element behave chemically?

The chemical properties of an atom are determined by the number and arrangement of electrons in its outermost shell, called the valence shell. Atoms with the same number of electrons in their valence shells will have similar chemical properties, regardless of their mass number.

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What is the de Broglie wavelength?

The de Broglie wavelength is the wavelength of a particle that is associated with its momentum. The shorter the wavelength, the higher the energy of the particle. It is calculated by the equation λ = h/p, where h is Planck's constant and p is the momentum of the particle.

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What are angular nodes?

Angular nodes are regions in space where the probability of finding an electron is zero. The number of angular nodes for an orbital is equal to l, the azimuthal quantum number.

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How many orbitals are in a specific shell?

The total number of orbitals in a shell is given by n^2 where n is the principal quantum number.

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Calculate wavelength of electromagnetic radiation

The wavelength of electromagnetic radiation is inversely proportional to its frequency. Wavelength (λ) is calculated using the formula: λ = c / ν where c is the speed of light (3 x 10^8 m/s) and ν is the frequency of the wave.

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What part of the electromagnetic spectrum does 1368 kHz belong to?

Electromagnetic radiation can be categorized into different types based on their wavelengths or frequencies. Radio waves have the longest wavelengths and lowest frequencies, while gamma rays have the shortest wavelengths and highest frequencies. Vividh Bharati radio broadcasts at a frequency of 1368 kHz, which falls within the radio wave portion of the electromagnetic spectrum.

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What are the possible values of l and ml for n=2?

The principal quantum number (n) describes the energy level of an electron in an atom. The angular momentum quantum number (l) describes the shape of an orbital, and the magnetic quantum number (ml) describes the orientation of the orbital in space. The number of orbitals for a given value of l is 2l + 1. For n = 2, the possible values of l are 0 and 1, corresponding to s and p orbitals. The ml values for l = 0 are 0, and for l = 1, they are -1, 0, and +1.

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What is common between dxy and dx2−y2 orbitals?

A dxy orbital has a dumbbell shape with four lobes and its electron density lies between the x and y axes. A dx2 − y2 orbital has a dumbbell shape with four lobes and its electron density lies along the x and y axes. Both orbitals have the same shape, but their orientations are different. They are both d orbitals with l = 2, and they are degenerate in energy.

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How are electrons filled into orbitals?

The Aufbau principle states that electrons are first filled into orbitals with lower energies before filling orbitals with higher energies. Hund's rule states that electrons will individually occupy each orbital within a subshell before pairing up in any one orbital. Pauli's exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers.

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What are some of the limitations of Bohr's model?

Bohr's model of the atom successfully explained the stability of the hydrogen atom and some of its spectral properties. However, it was unable to explain the spectra of multi-electron atoms, the Stark effect, the Zeeman effect, and the wave-particle duality of matter. The development of quantum mechanics and the concept of atomic orbitals provided a more accurate description of the atom.

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Why is spin quantum number necessary?

The quantum numbers n, l and ml describe the size, shape, and orientation of an atomic orbital. However, they are not sufficient to explain the spectra of multi-electron atoms as they do not account for the spin of electrons. The spin quantum number (ms) was introduced to explain the observed spectral lines in multi-electron atoms. The spin angular momentum of an electron has two possible orientations, which are distinguished by the spin quantum numbers +1/2 and -1/2.

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How are quantum numbers related to Schrödinger's wave equation?

Schrödinger's wave equation is a mathematical equation that describes the behavior of electrons in atoms. The solutions to this equation give rise to sets of four quantum numbers (n, l, ml, ms): the principal quantum number (n), angular momentum quantum number (l), magnetic quantum number (ml), and spin quantum number (ms). These quantum numbers define the specific properties of each orbital, and thus provide a detailed description of the electronic structure of an atom.

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Study Notes

Atomic Structure - MCQ Section

  • Bohr's Radius: The radius of the second Bohr orbit for hydrogen atoms is 0.529 Å.
  • Third Shell Orbitals: The third shell contains 9 orbitals.
  • Quantum of Light Wavelength: A quantum of light with a frequency of 6×10⁻¹⁵ s⁻¹ has a wavelength close to 50 nanometers.
  • Atomic Structure Model Pioneer: The first scientist to propose a model for the structure of the atom was Ernest Rutherford.
  • Angular Nodes of 4d Orbital: The 4d orbital has 2 angular nodes.
  • Mass Number and Atomic Number: The mass number of a nucleus is sometimes equal to, always more than, or sometimes more than its atomic number.

Assertion-Reason Questions

  • Black Body Radiation: A black body is an ideal body that absorbs and emits radiation of all frequencies.
  • Radiation Frequency and Temperature: The frequency of radiation emitted by a body increases with increasing temperature.
  • Electron Position and Momentum: It is impossible to simultaneously determine the exact position and momentum of an electron.
  • Electron Path: The path of an electron in an atom is not clearly defined.
  • Isotopes and Chemical Behavior: All isotopes of a given element show the same chemical behavior. Chemical properties are determined by the number of electrons in an atom.
  • Atomic Neutrality: Atoms are electrically neutral because the number of protons and electrons are equal.

Section - B (SA I)

  • Subshells for n=4: The subshells with m values for n=4 contain a total of 16 electrons.
  • Uncertainty in Velocity and Wavelength: If the uncertainty in position of a moving electron equals its de Broglie wavelength, its velocity is completely uncertain.
  • Electromagnetic Radiation Wavelength and Frequency: The wavelength of the electromagnetic radiation emitted by a transmitter broadcasting at 1,368 kHz is roughly equivalent to 219.2m.
  • Electromagnetic Spectrum: The emitted radiation in this case would fall in the radio frequency (specifically the AM radio band) part of the electromagnetic spectrum.

Section - C (SA II)

  • Quantum Numbers for n=2: For an orbital with n = 2, the possible values of l are 0 and 1, and the possible values of ml are -1, 0, and 1 .
  • Quantum Numbers for 3d orbital: The quantum numbers m$_l$ and l of electrons within a 3d orbital are m$_l$ = -2, -1, 0, 1, 2 and l=2.
  • Possible Orbitals: Examples of possible orbitals are 1s, 2p, 2d, and 3f. 2d is not a legitimate orbital.
  • Other Notes: Note that the information provided about possible orbitals is somewhat limited; it focuses on the given options but does not cover all possible rules for orbital configuration. It's best to consult further resources for a comprehensive understanding of orbital validity.

Section - D (Case Based Questions)

  • Orbital Properties: Orbitals are regions of space where electrons have high probability of being located, distinguished by their size, shape, and orientation. Smaller size indicates higher probability of finding electrons closer to the nucleus. Different orbital shapes and orientations determine the orbital's quantum number.

  • Quantum Numbers: Spin quantum number determines the spin of an electron (which has two values, usually +1/2 or -1/2). Other quantum numbers define orbitals, and are more closely related to the energy, shape, and orientation of the spatial region where electrons are most likely to be.

  • Orbital Representations: n=3 relates to orbitals and n=2, l=1 refers to a specific type of p orbital with angular momentum characteristics.

  • Electron Capacity: Each orbital can hold a maximum of 2 electrons.

  • s and p Orbital Shapes: 's' orbitals are spherical, while 'p' orbitals have a dumbbell shape.

  • Bohr Model Limitations: The Bohr model, while useful for understanding the discrete energy levels of single electron atoms, has limitations. It cannot explain the spectra of multi-electron atoms, nor the finer details of atomic structure, such as those predicted by later models (like the quantum mechanical model).

  • Exchange Energy: Stable orbitals (especially those that are half-filled or completely filled) are stabilized by exchange energy, which results from interactions between electrons with parallel spins. This is a crucial factor in orbital filling rules used in multi-electron atoms.

Section - E (LA)

  • De Broglie Wavelength and Bohr Orbit: The circumference of the Bohr orbit is a multiple of the de Broglie wavelength in the case of Hydrogen.
  • Heisenberg Uncertainty Principle Relevance: The uncertainty principle is crucial for understanding the behavior of microscopic particles such as electrons. For macroscopic objects, these uncertainties are practically negligible.
  • Hund's Rule of Maximum Multiplicity: In a set of degenerate orbitals, the lowest energy configuration corresponds to the maximum number of unpaired electrons with parallel spins.
  • Photon Energy and Photoelectric Effect: The energy of a photon of wavelength 4×10⁻⁷ m is (3.1 eV). The kinetic energy can be calculated using equations for photoelectric emission. The velocity could then be determined from the kinetic energy information, noting that 1 eV = 1.602 x 10⁻¹⁹ J.

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