Atomic Structure: Cathode and Anode Rays

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Questions and Answers

In a discharge tube experiment, what leads to the creation of cathode rays?

  • Collection of cations
  • Introduction of noble gases
  • Application of low voltage
  • Collection of electrons (correct)

Which property is exclusive to anode rays compared to cathode rays?

  • Their effect on photographic plates
  • Their ability to rotate a wheel
  • Their independence of gas nature
  • Their dependence on gas nature (correct)

If the voltage is increased while studying cathode rays, what happens to the e/m ratio?

  • It decreases proportionally
  • It increases proportionally
  • It fluctuates irregularly
  • It remains unaffected (correct)

What is the key feature of Thomson's atomic model?

<p>Uniform distribution of positive charge with embedded electrons (B)</p> Signup and view all the answers

What crucial information about the atom's structure was revealed through Rutherford's gold foil experiment?

<p>The existence of a small, dense, positively charged nucleus (D)</p> Signup and view all the answers

In Rutherford's model, what maintains the stability of electrons revolving around the nucleus?

<p>Electrostatic forces (A)</p> Signup and view all the answers

How is the energy of a quantum related to its frequency, according to Planck's theory?

<p>Energy is directly proportional to frequency. (C)</p> Signup and view all the answers

What aspect of light is best demonstrated by the photoelectric effect?

<p>Particle nature (A)</p> Signup and view all the answers

If the energy of an incident photon on a metal surface is greater than the work function, what occurs?

<p>Electron emission with some kinetic energy (B)</p> Signup and view all the answers

In the context of the photoelectric effect, how does increasing the intensity of incident light affect the emitted electrons?

<p>It increases the number of emitted electrons. (D)</p> Signup and view all the answers

What happens to the kinetic energy of emitted electrons if the wavelength of incident light decreases in the photoelectric effect?

<p>Kinetic energy increases. (A)</p> Signup and view all the answers

A metal has a work function of 2J. If a photon of 10J is incident on the metal, how many electrons will be emitted per photon?

<p>1 (D)</p> Signup and view all the answers

According to Wien's displacement law, as the temperature of a black body increases, what happens to the wavelength at which it emits the most radiation?

<p>It decreases. (C)</p> Signup and view all the answers

What is a key postulate of Bohr's atomic model?

<p>Electrons revolve around the nucleus in specific, quantized orbits. (C)</p> Signup and view all the answers

According to Bohr's atomic model, what happens when an electron transitions from a higher energy orbit to a lower energy orbit?

<p>Energy is released in the form of a photon. (A)</p> Signup and view all the answers

How does the radius of an electron orbit in a hydrogen atom change as the principal quantum number (n) increases, according to Bohr's model?

<p>It increases. (B)</p> Signup and view all the answers

What does the negative sign in the total energy of an electron in a Bohr orbit signify?

<p>The electron is bound to the nucleus. (D)</p> Signup and view all the answers

If the ionization energy for hydrogen atom is 13.6 eV, what does this value represent?

<p>The energy required to remove an electron from the ground state (A)</p> Signup and view all the answers

How are the wavelengths of emitted light related in the Balmer series?

<p>They converge towards a limit as n increases (A)</p> Signup and view all the answers

What is the significance of the Rydberg constant in atomic spectra?

<p>It helps determine the wavelengths in atomic spectra (A)</p> Signup and view all the answers

According to de Broglie's hypothesis, what property is associated with a moving particle?

<p>Wave-like nature (D)</p> Signup and view all the answers

If the uncertainty in the position of an electron increases, what happens to the uncertainty in its momentum, according to the Heisenberg Uncertainty Principle?

<p>It decreases. (C)</p> Signup and view all the answers

Which quantum number primarily determines the size and energy of an orbital?

<p>Principal quantum number (n) (D)</p> Signup and view all the answers

What information does the azimuthal quantum number (l) provide about an electron in an atom?

<p>Shape of the orbital (A)</p> Signup and view all the answers

What does the magnetic quantum number (m) specify?

<p>Spatial orientation of the orbital (D)</p> Signup and view all the answers

What does the spin quantum number (s) describe?

<p>The intrinsic angular momentum of an electron (D)</p> Signup and view all the answers

According to Hund's rule, how are electrons arranged within a subshell?

<p>They fill each orbital singly before pairing up. (D)</p> Signup and view all the answers

What does the Pauli Exclusion Principle state regarding electrons in the same atom?

<p>No two electrons can have the same set of four quantum numbers. (C)</p> Signup and view all the answers

What are degenerate orbitals?

<p>Orbitals with the same energy (B)</p> Signup and view all the answers

Flashcards

Cathode Rays

Cathode rays are a collection of electrons.

Anode Rays

Anode rays (canal rays) are a collection of cations.

Thomson's Atomic Model

Thomson's atomic model proposes that positive charge is distributed uniformly throughout the atom.

Rutherford's Experiment

Rutherford's alpha-scattering experiment led to the discovery of the nucleus.

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Energy of Quanta

Each quanta has an integral multiple of minimum energy.

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Photoelectric Effect

A photoelectric effect happens when light strikes a surface, causing the emission of electrons.

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Photon Energy Equation

Energy of photon is equal to work function + kinetic energy.

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Work Function

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

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Photoelectric Emission Condition

In photoelectric emission, if E > Wo then electron will be emitted with kinetic energy.

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Bohr's Model Applies To

Bohr's model is applicable to single-electron species.

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Orbits Around Nucleus

The number of circular paths (orbits) present surrounding the nucleus.

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Electron Revolution Condition

An electron revolves only in those orbits which have angular momentum equal to an integral multiple of h/2Ï€.

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Radius of First Orbit (H)

For hydrogen atom, the radius of the first orbit is 0.53 Ã….

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Ionisation Energy

Total Amount of energy required to remove revolving electron.

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Spectral Line

Spectral line (nth) leads to the ground state.

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De-Broglie’s Wavelength

Broglie's Wavelength explains every particle has dual nature.

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Pauli Exclusion Principle

Pauli's exclusion principle states that each orbital maximum have two electrons.

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Aufbau Principle

Electrons are filled into atomic orbitals in the increasing order of orbital energy level.

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Hund's Rule

Before the double occupation of any orbital, every orbital in the sub level is singly occupied.

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Study Notes

Atomic Structure

  • Discovery of electron and proton occurs in a vacuum with "no air."
  • High voltage is supplied to a discharge tube.
  • Due to high voltage (electrical energy) gas becomes H -> H+ + e-
  • Collection of e- becomes cathode rays
  • Collection of cation becomes anode rays (canal rays)

Cathode Rays

  • Collection of electrons
  • Does not depend upon the nature of the gas.
  • Me = 9.1 x 10^-31 kg
  • Charge = -1.6 x 10^-19 C
  • Effect shown on photographic plate.
  • Rotates a wheel
  • e/m ratio of cathode rays = 1.6 x 10^19 C / 9.1 x 10^-31 = 1.7 x 10^11 C/kg
  • e/m ratio does not depend upon the nature of the gas.
  • e/m is directly proportional to voltage of battery.

Anode Rays

  • Collection of cation, in this case H2 gas -> collection of H+

  • Depends upon the nature of the gas.

  • mP = 1.6 x 10^-27 kg

  • charge = +1.6 x 10^-19 C

  • Effect shown on photographic plate.

  • Rotates a wheel.

  • e/m Ratio of Anode Rays (H+) = 1.6 x 10^-19 / 1.6 x 10^-27 = 10^8 C/kg

  • e/m ratio depends upon nature of gas.

  • e/m is directly proportional to the voltage of battery.

  • e/m Ratio of Anode Rays is variable

  • H+ displays the highest e/m Ratio, He+ is less.

  • The increasing order for the value of e/m for e-, p, n, and alpha particle is n, alpha, p, e

  • e/m Ratio of Cathode Rays decreases, when voltage of Battery increases

  • e/m directly proportional to 1/ voltage of Battery

Thomson's Atomic Model

  • positive charge distributed uniformly in whole atom
  • negative electrons embedded in cloud of positive charge, like a watermelon.
  • stability achieved by electrostatics force.
  • Model: Watermelon Model or Plum Pudding Model

Rutherford's Gold Foil Experiment

  • Also know as alpha-scattering experiment and led to discovery of the nucleus

  • Observation: Most of alpha-particles (He+2) travel through the foil undeflected. Interpretation: Atom is mostly empty space.

  • Observation: Some alpha-particles are deflected by small angles. Interpretation: Nucleus is positively charged as is the alpha particle.

  • Observation: Occasionally, an alpha-particle travels back from the foil. Interpretation: Nucleus carries most of the atom's mass. (20000 alpha of 1 particle (180°))

  • Rutherford Atomic Model

  • Atom is spherical: contains Nucleus (p+) and Extra nuclear part (e-)

  • (Atom) = 10^-10 m

  • (R) Nucl = 10^-15 m.

  • Stability is explained by solar system. electrons revolve around nucleus.

  • Rutherford's Scattering Experiment is related to the size of the Nucleus

Dual Nature of Light

  • Quanata (photon)

  • Particle Nature

  • Plank's Quantum Theory:

  • quanta = small energy packet.

  • Energy of quanta is different.

  • each quanta have energy integral multiple of minimum Energy.

  • E = n x eE min

  • E = hv [h= 6.6 x 10^-34 J sec]

  • E = hc/λ

  • Wave Nature: electromagnetic wave

  • electric field component

  • magnetic field component

  • Direction of Propagation

  • Calculation of energy in Joule corresponding to light of wavelength 450 nm : 4.42 × 10^-18

  • value of Plank's const is 6.63×10^-34 JS

  • light is 3x10^8 m/s, finding value closest to λ in nanometer of Quantum of light with Frequency of 6x10^15 sec^-1: 50nm

  • hν = Wo + KE

Photoelectric effect

  • emission of electron in metal surface, when photon incident on it.

  • surface phenomenon.

  • particle nature of light.

  • 1 Photon = emit only 1 e-: hν = Photo

  • hν = Wo + KE

  • Wo implies the work function.

  • h c / λ = h ν + KE [ νo Threshold freq.]

  • h c / λ0 = + KE [ λo Threshold wavelength]

  • E directly proportional to 1/λ

  • energy of photon incident on metal surface, if (wo = 2J)

  • Calculation KE of emitted e-: 8J

  • Work Function (Wo) of some metals:

  • E > Wo -> e- will emit

  • Relation b/w Energy of electron & orbit No (n):

  • En = -13.6 x Z^2/ n^2 ev/atom

  • E1: E2: E3 = (Z1/n1)^2 : (Z2/n2)^2 : (Z3/n3)^2

  • What is work function of Metal, if the light of wavelength 400 A° generates photoelectron of velocity 6×10^5m/s from it?0

  • Calculation of Ionisation Energy

Bohr's Atomic Model

  • applicable to Singly e- Species. [ H, He+, Li+2, Be+3]
  • Circular path (orbit) Present surrounding Nucleus
  • Orbit : alway whole No. (n≠0, Fractional).
  • electron is revolving only in those orbit which have angular momentum is equal to integral multiple of h/2Ï€.
  • Select correct angular momentum of revolving electron: α) h/K

Radius of Atom (rn)

  • rn = 0.53 x n^2 / Z A°

  • Bohr's Radius implies n =1 and Z =1

  • γ, = 0.53 A°

  • γn is directly proportional to n^2

  • γn is directly proportional to n^2/Z

  • Finding Ratio of radii of 1st orbits of H, He+ & Li+2:

  • 6:3:2

  • Ground state of Hydrogen is 0.53A finding Radius for Li+2 ion: 0.17A°

  • Radius of 2nd Bohrs Orbit in term of Bohrs radius: 4ao/9

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