Atoms, Electrons & Periodicity — Chapter Practice, Grade 11

Connect atomic evidence, isotopes, electron arrangements, spectra, and periodic patterns.

Problem 1

Rutherford's gold-foil experiment, in which a few alpha particles bounced sharply backward, was the direct evidence for which idea?
  1. Electrons exist as probability clouds
  2. Atoms are indivisible solid spheres
  3. An atom's mass and positive charge are concentrated in a tiny nucleus
  4. Electrons travel in fixed orbits
Answer and explanation

An atom's mass and positive charge are concentrated in a tiny nucleus

Most particles passed through (mostly empty space), but the rare sharp deflections showed a small, dense, positively charged nucleus.

Problem 2

Which particle has a mass roughly 1/1836 that of a proton?
  1. nucleus
  2. alpha particle
  3. neutron
  4. electron
Answer and explanation

electron

Electrons are almost weightless compared with protons and neutrons, so they contribute almost nothing to atomic mass.

Problem 3

An atom of selenium has atomic number 34 and mass number 80. How many neutrons does it have?
Answer and explanation

46

Neutrons = A − Z = 80 − 34 = 46.

Problem 4

A sulfide ion, S with mass number 32 and a 2− charge, has atomic number 16. How many electrons does it have?
Answer and explanation

18

A 2− ion has gained 2 electrons: electrons = protons + 2 = 16 + 2 = 18.

Problem 5

Thomson's plum-pudding model and Rutherford's nuclear model both had electrons and positive charge. What key difference did Rutherford's experiment force, and why?
Answer and explanation

Thomson spread the positive charge thinly throughout the whole atom, but Rutherford's sharp alpha-particle deflections showed the positive charge and nearly all the mass are packed into a tiny, dense central nucleus instead of being spread out.

Problem 6

A neutral atom of phosphorus is written with mass number 31 and atomic number 15. How many protons does it have?
Answer and explanation

15

The atomic number is the proton count, so protons = 15.

Problem 7

An ion has 12 protons and 10 electrons. Find its charge and element. Show the reasoning, not just the conclusion.
Hints

Electrons affect ion charge; protons identify the element.

Answer and explanation

Magnesium, charge 2+; positive charges exceed negative by two.

Problem 8

Why are simple circular electron paths an incomplete atomic model?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

Quantum models describe orbital probability distributions rather than definite classical trajectories; simple drawings omit that distinction.

Problem 9

An orbital describes a quantum state rather than a tiny trackAn orbital describes a quantum state rather than a tiny trackOrbital: probability descriptionGroundExcitedAllowed energy changeNeither picture specifies an electron’s classical orbit.
Original qualitative cloud and energy-level schematic. Cloud colors are not electron material, and level separation is in arbitrary energy units.
Interpret the supplied visual. What information is missing if a drawing shows only a shaded orbital cloud?
Answer and explanation

It does not specify a particular electron position or trajectory. Its shading must be interpreted as a probability representation under the stated model.

An orbital describes an electron state with a spatial probability distribution. A cloud or boundary drawing does not show a solid shell, exact electron location or a classical path around the nucleus. Allowed energy levels account for discrete transitions; different orbitals can have different shapes and energies. Bohr-style shells remain useful bookkeeping for simple comparisons, but a multi-electron atom requires a quantum model and electron interactions rather than planets moving on fixed circular roads.

It does not specify a particular electron position or trajectory. Its shading must be interpreted as a probability representation under the stated model.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the chemistry relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 10

A species has 17 protons, 18 neutrons and 18 electrons. Give Z, mass number, element and charge. Explain which change would make an isotope rather than an ion.
Answer and explanation

Z=17, A=35, chlorine with charge −1: ³⁵Cl⁻. Changing neutron number while keeping 17 protons makes another chlorine isotope. Changing only electron number changes its ionization state.

Z=17, A=35, chlorine with charge −1: ³⁵Cl⁻. Changing neutron number while keeping 17 protons makes another chlorine isotope. Changing only electron number changes its ionization state.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the chemical mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 11

Why is the atomic mass listed for most elements on the periodic table a decimal rather than a whole number?
  1. It is the weighted average of all the element's naturally occurring isotopes
  2. Electrons add a fractional amount of mass
  3. Atoms are constantly gaining and losing neutrons
  4. Measuring instruments are imprecise
Answer and explanation

It is the weighted average of all the element's naturally occurring isotopes

The listed value averages every natural isotope, weighted by abundance, so it is rarely a whole number.

Problem 12

Two isotopes of the same element must have the same number of ___ but different numbers of ___.
  1. neutrons; protons
  2. protons; neutrons
  3. electrons; protons
  4. protons; electrons
Answer and explanation

protons; neutrons

Isotopes share the proton count (same element) but differ in neutrons, which changes the mass number.

Problem 13

An element has two isotopes: one of mass 20.0 amu at 90.0% abundance and one of mass 22.0 amu at 10.0% abundance. Find the average atomic mass in amu.
Answer and explanation

20.2 amu

Average = 20.0 × 0.900 + 22.0 × 0.100 = 18.0 + 2.2 = 20.2 amu.

Problem 14

Copper has two isotopes: copper-63 (62.93 amu, 69.15%) and copper-65 (64.93 amu, 30.85%). Find copper's average atomic mass in amu.
Answer and explanation

63.55 amu

62.93 × 0.6915 = 43.52 amu; 64.93 × 0.3085 = 20.03 amu; sum = 63.55 amu.

Problem 15

Chlorine's average atomic mass, 35.45 amu, is much closer to 35 than to 37. What does that tell you about the abundances of its two isotopes?
Answer and explanation

Chlorine-35 must be far more abundant than chlorine-37 (roughly 75% versus 25%), because a weighted average is pulled toward the mass of the most common isotope.

Problem 16

An element has just two isotopes, of mass 10.0 amu and 11.0 amu, and its average atomic mass is 10.8 amu. What percent of its atoms are the mass-11 isotope?
Answer and explanation

80 %

Let the mass-10 fraction be x: 10x + 11(1 − x) = 10.8 → 11 − x = 10.8 → x = 0.20. So the mass-11 fraction is 0.80 = 80%.

Problem 17

Masses 10.0 and 11.0 u have abundances 20% and 80%. Find average. Show the reasoning, not just the conclusion.
Hints

An arithmetic average would incorrectly assume equal abundance.

Answer and explanation

10.0×0.20+11.0×0.80=10.8 u.

Problem 18

Could two samples of the same element have different average masses?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

Yes, if their isotope abundances differ; proton count remains the same.

Problem 19

A two-isotope model can infer a fraction from its meanA two-isotope model can infer a fraction from its meanx = fraction of X-101 − x = fraction of X-1110.4 = 10.0x + 11.0(1 − x)10.4 = 11.0 − x → x = 0.60Check: 60% lighter, 40% heavier → mean below midpoint.
Original inverse calculation with invented masses and selected mean, keeping number fractions distinct from mass fractions.
Interpret the supplied visual. If the mean moved closer to 11.0 u, which modeled fraction would increase?
Answer and explanation

The X-11 fraction would increase, while the X-10 fraction x would decrease.

To infer an unknown abundance in a two-isotope model, define one fraction x and use one minus x for the other. The measured mean supplies a weighted-balance equation. Solving it is justified only if the two isotope masses and the sample model are appropriate; an unrecognized third isotope, mass bias or uncertainty changes the inference. A solution outside zero to one is a warning that the inputs or assumptions are inconsistent, not a physically negative abundance.

The X-11 fraction would increase, while the X-10 fraction x would decrease.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the chemistry relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 20

Two modeled isotopes have masses 24.0 and 26.0 u. A sample mean is 24.6 u. Find the fraction of each and check the answer.
Answer and explanation

24.6=24.0x+26.0(1−x)=26.0−2.0x, so x=0.70. Fractions are 70% lighter and 30% heavier; 0.70(24.0)+0.30(26.0)=24.6 u.

24.6=24.0x+26.0(1−x)=26.0−2.0x, so x=0.70. Fractions are 70% lighter and 30% heavier; 0.70(24.0)+0.30(26.0)=24.6 u.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the chemical mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 21

What is the maximum number of electrons a single orbital can hold?
  1. 8
  2. 1
  3. 2
  4. 6
Answer and explanation

2

By the Pauli exclusion principle, an orbital holds at most two electrons, and they must have opposite spins.

Problem 22

Which sublevel can hold a maximum of 10 electrons?
  1. f
  2. s
  3. p
  4. d
Answer and explanation

d

The d sublevel has 5 orbitals × 2 electrons = 10 electrons.

Problem 23

Using the rule 2n², what is the maximum number of electrons the n = 3 energy level can hold?
Answer and explanation

18

2n² = 2 × 3² = 2 × 9 = 18 electrons.

Problem 24

Which is the correct ground-state electron configuration of phosphorus (Z = 15)?
  1. 1 s² 2 s² 2p⁶ 3 s² 3p³
  2. 1 s² 2 s² 2p⁶ 3 s² 3p⁵
  3. 1 s² 2 s² 2p⁶ 3 s² 3d³
  4. 1 s² 2 s² 2p⁸ 3 s² 3p³
Answer and explanation

1 s² 2 s² 2p⁶ 3 s² 3p³

Filling in Aufbau order and stopping at 15 electrons gives 1 s² 2 s² 2p⁶ 3 s² 3p³ (2+2+6+2+3 = 15).

Problem 25

Explain why the 4 s sublevel is filled before 3d even though 3d has a lower principal quantum number.
Answer and explanation

Electrons fill in order of increasing energy, not simply increasing n. The 4 s sublevel happens to be slightly lower in energy than 3d, so by the Aufbau principle electrons occupy 4 s first.

Problem 26

Bromine (Z = 35) has the configuration [Ar] 4 s² 3d¹⁰ 4p⁵. How many valence electrons does it have?
Answer and explanation

7

Valence electrons are those in the highest energy level (n = 4): 4 s² + 4p⁵ = 7. The inner 3d¹⁰ electrons are core, not valence.

Problem 27

Give the ground-state configuration of neutral neon, Z=10. Show the reasoning, not just the conclusion.
Hints

Check electron total and distinguish an orbital from a shell.

Answer and explanation

1s² 2s² 2p⁶; exponents total 10.

Problem 28

What changes when magnesium forms Mg²⁺ in the simple configuration model?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

It loses the two outer 3s electrons, giving [Ne]; the nucleus remains magnesium.

Problem 29

Outer-electron patterns connect configuration with chemical behaviorOuter-electron patterns connect configuration with chemical behaviorMain-group speciesOuter configurationCommon ionNa3s¹Na⁺Mg3s²Mg²⁺Cl3s²3p⁵Cl⁻Valence patterns help predict chemistry, not every oxidation state.Stable compounds depend on the full energy and structure.
Original selected main-group configurations and common ions; not a table of all possible oxidation states.
Interpret the supplied visual. Why is an octet drawing alone insufficient to show that isolated sodium spontaneously loses an electron?
Answer and explanation

Removing an electron from an isolated atom requires energy. Other reaction steps and interactions must be included in the full favorable or unfavorable account.

Valence electrons are the electrons most involved in a chemical bonding model. Main-group outer configurations help explain recurring groups and common ion charges: sodium often loses its 3s electron and chlorine often gains one electron into its 3p subshell. The octet rule is a useful main-group pattern, not a cause or universal command that atoms want eight electrons. Whether a reaction occurs depends on the complete energy balance, interaction partners and conditions, including lattice or solution stabilization.

Removing an electron from an isolated atom requires energy. Other reaction steps and interactions must be included in the full favorable or unfavorable account.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the chemistry relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 30

A neutral atom has Z=16. Write its ground-state configuration and electron total for its common 2− ion. Explain why gaining electrons does not change the element.
Answer and explanation

Neutral sulfur: 1s²2s²2p⁶3s²3p⁴, totaling 16 electrons. S²⁻ has 18 electrons, with 3p⁶. Its 16 protons retain sulfur identity.

Neutral sulfur: 1s²2s²2p⁶3s²3p⁴, totaling 16 electrons. S²⁻ has 18 electrons, with 3p⁶. Its 16 protons retain sulfur identity.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the chemical mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 31

A vertical column of the periodic table is called a…
  1. period
  2. group (family)
  3. block
  4. series
Answer and explanation

group (family)

Vertical columns are groups, or families; horizontal rows are periods.

Problem 32

Elements in the same group have similar chemical properties mainly because they have the same number of…
  1. neutrons
  2. protons
  3. valence electrons
  4. energy levels
Answer and explanation

valence electrons

Matching valence-electron counts give group-mates similar bonding behavior.

Problem 33

Selenium is a main-group element in Group 16. How many valence electrons does it have?
Answer and explanation

6

For main-group elements, valence electrons = group number − 10 = 16 − 10 = 6.

Problem 34

Which part of the periodic table contains the transition metals?
  1. Group 17 (the halogens)
  2. Group 18 (the noble gases)
  3. Groups 1–2 (s-block)
  4. The d-block, groups 3–12
Answer and explanation

The d-block, groups 3–12

The transition metals make up the d-block in the center of the table, groups 3–12.

Problem 35

Explain the difference between a period and a group, including what each one tells you about an atom's electrons.
Answer and explanation

A period is a horizontal row; every element in it has its outermost electrons in the same highest energy level (same n). A group is a vertical column; its elements all have the same number of valence electrons, which is why they share similar chemistry.

Problem 36

Silicon lies along the staircase line and is used to make semiconductors. It is best classified as a…
  1. metalloid
  2. noble gas
  3. metal
  4. nonmetal
Answer and explanation

metalloid

Elements along the staircase, like silicon, are metalloids with in-between properties that make them useful semiconductors.

Problem 37

A main-group element has outer configuration 4s². What broad position fits? Show the reasoning, not just the conclusion.
Hints

Group labels 1–18 differ from valence-electron counts.

Answer and explanation

Period 4, group 2, for the corresponding neutral ground-state main-group atom.

Problem 38

Why cannot every transition-metal behavior be predicted by the simple main-group valence rule?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

d-electron involvement and variable oxidation states complicate those patterns.

Problem 39

Patterns need their domain and important exceptionsPatterns need their domain and important exceptionsGroupOuter main-group patternSelected example1ns¹Na: 3s¹2ns²Mg: 3s²17ns²np⁵Cl: 3s²3p⁵18ns²np⁶*Ar: 3s²3p⁶*He is 1s²; a full first shell contains two electrons.
Original main-group pattern table with n denoting the outer principal level, not an electron count multiplier.
Interpret the supplied visual. Why is helium grouped with noble gases despite having only two electrons?
Answer and explanation

Its first shell is filled by two electrons. The relevant pattern is a filled available valence shell, not a requirement for eight in every element.

Main-group columns often share an outer-shell electron pattern. Group 1 typically has ns¹ and Group 17 ns²np⁵; Group 18 has a filled outer shell, with helium’s 1s² as a key exception to an eight-electron slogan. Transition elements require more attention to nearby d states and variable oxidation numbers. The pattern helps predict likely bonding behavior, but it does not prescribe an atom’s objective or supply a complete reaction energy calculation.

Its first shell is filled by two electrons. The relevant pattern is a filled available valence shell, not a requirement for eight in every element.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the chemistry relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 40

Element A has outer configuration 3s²3p⁵ and B has 4s²4p⁵. Identify their main-group relationship, explain one likely similarity and one reason properties need not match.
Answer and explanation

Both fit Group 17. Similar valence patterns support related bonding tendencies, while B has an additional occupied shell and different nuclear charge/shielding. Exact radius, energy and reaction behavior need the specified species and conditions.

Both fit Group 17. Similar valence patterns support related bonding tendencies, while B has an additional occupied shell and different nuclear charge/shielding. Exact radius, energy and reaction behavior need the specified species and conditions.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the chemical mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 41

As you move left to right across a period, atomic radius generally…
  1. increases
  2. decreases
  3. stays the same
  4. doubles each time
Answer and explanation

decreases

Rising effective nuclear charge across a period pulls the electron cloud inward, so atoms get smaller.

Problem 42

Which of these elements has the highest electronegativity?
  1. chlorine (Cl)
  2. sodium (Na)
  3. fluorine (F)
  4. oxygen (O)
Answer and explanation

fluorine (F)

Fluorine, at the top right of the table (excluding noble gases), is the most electronegative element.

Problem 43

First ionization energy generally ___ as you move down a group.
  1. stays the same
  2. becomes negative
  3. increases
  4. decreases
Answer and explanation

decreases

Down a group, the outer electron is farther out and better shielded, so it is easier to remove — ionization energy decreases.

Problem 44

A neutral fluorine atom has 9 protons and 2 core (inner-shell) electrons. Using the simple approximation Zeff ≈ (protons) − (core electrons), estimate the effective nuclear charge felt by a valence electron.
Answer and explanation

7

Zeff ≈ 9 − 2 = 7. The 7 valence electrons feel a strong pull, which is why fluorine is so small and so electronegative.

Problem 45

Explain, in terms of effective nuclear charge, why atomic radius decreases across a period even though electrons are being added.
Answer and explanation

Across a period, protons are added to the nucleus while the new electrons enter the same energy level, adding little shielding. Effective nuclear charge rises, so the stronger pull draws the whole electron cloud inward and the atom shrinks.

Problem 46

Atomic radius and ionization energy show opposite trends. An atom with a very small radius will therefore tend to have a…
  1. high ionization energy
  2. low ionization energy
  3. zero ionization energy
  4. negative ionization energy
Answer and explanation

high ionization energy

A small radius means the outer electron is close to the nucleus and held tightly, so it takes a lot of energy to remove — a high ionization energy.

Problem 47

Compare Na and Na⁺ size qualitatively. Show the reasoning, not just the conclusion.
Hints

Trend statements require a specified property and comparable definition.

Answer and explanation

Na⁺ is smaller; losing the outer electron removes the occupied outer level and changes electron interactions.

Problem 48

Why are periodic trends useful but not a guarantee of perfect monotonic behavior?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

Orbital structure, electron pairing and measurement definitions produce exceptions; consult data for precise comparisons.

Problem 49

Equal electron count isolates an important nuclear-charge comparisonEqual electron count isolates an important nuclear-charge comparisonElectron countO²⁻: 8 protons10F⁻: 9 protons10Na⁺: 11 protons10Same electron count; increasing nuclear chargeUsual isoelectronic radius order: O²⁻ > F⁻ > Na⁺
Original equal-electron inventory. Bar lengths show electron counts only, not ionic radii.
Interpret the supplied visual. Which is smallest in the displayed isoelectronic series, and which variable supports the comparison?
Answer and explanation

Na⁺ is smallest in the usual comparison; all three have ten electrons but Na⁺ has the largest proton count, 11.

Isoelectronic species have the same electron count under the compared state. O²⁻, F⁻ and Na⁺ each have ten electrons, but their proton counts rise from eight to eleven. Within this selected series, stronger nuclear attraction generally contracts the electron distribution, giving O²⁻ the larger and Na⁺ the smaller radius under compatible definitions. This is different from saying every positive ion of every element is smaller than every negative ion. Match the electron count and comparison conditions first.

Na⁺ is smallest in the usual comparison; all three have ten electrons but Na⁺ has the largest proton count, 11.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the chemistry relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 50

Rank Ne, F⁻ and Mg²⁺ by the usual radius trend for an isoelectronic series. Give electron/proton counts and the model limitation.
Answer and explanation

All have ten electrons; proton counts are F=9, Ne=10, Mg=12. The usual order is F⁻ > Ne > Mg²⁺ under a compatible radius comparison. Defined atomic/ionic radii and environments must be matched before treating reference numbers as directly interchangeable.

All have ten electrons; proton counts are F=9, Ne=10, Mg=12. The usual order is F⁻ > Ne > Mg²⁺ under a compatible radius comparison. Defined atomic/ionic radii and environments must be matched before treating reference numbers as directly interchangeable.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the chemical mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 51

A level drops from 7 to 3 arbitrary energy units. How many units are released?
Hints

Write the relationship first; substitute with consistent units.

Answer and explanation

4 energy units

7−3 = 4.

Problem 52

Why does an element emit selected colors?
Answer and explanation

Only allowed state differences occur; each gives a photon with a specific frequency.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 53

Allowed states are 0, 4, and 10 energy units. Find energy for the 10→4 transition.
Hints

List the given quantities, select a relationship, and check units before substituting.

Answer and explanation

6 energy units

10−4=6.

Problem 54

Two unknown lines match one reference. What would strengthen identification?
Answer and explanation

Match additional lines, check resolution and calibration, and evaluate whether a mixture could give the same subset.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 55

Find photon energy for f=5.0×10¹⁴ Hz using h=6.63×10⁻³⁴ J·s. Show the reasoning, not just the conclusion.
Hints

Emission lowers atomic energy; absorption raises it.

Answer and explanation

E=hf=3.315×10⁻¹⁹ J, about 3.3×10⁻¹⁹ J.

Problem 56

Why can several spectral lines come from one element?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

Different allowed transitions have different energy differences, producing different photon frequencies.

Problem 57

A line spectrum is a pattern, not one color labelA line spectrum is a pattern, not one color labelSelected emission linesContinuous spectrum: many wavelengths over a range
Original line/continuum comparison. Stripe colors and positions are illustrative and not a real elemental wavelength dataset.
Interpret the supplied visual. Why is matching several calibrated line positions stronger evidence than matching one apparent flame color?
Answer and explanation

Several positions constrain the species pattern and reduce ambiguity from overlap, intensity differences and visual perception.

A low-density excited atomic gas can emit discrete spectral lines associated with electronic transitions. A continuous spectrum spans a broad range rather than only isolated ideal lines. Line positions help identify species when compared with calibrated reference patterns; intensity also depends on population, excitation, detection and other conditions. Overlapping species or broadening can complicate an observed spectrum. A colored stripe diagram is a schematic key to positions, not an actual camera record or a guarantee of equal line intensities.

Several positions constrain the species pattern and reduce ambiguity from overlap, intensity differences and visual perception.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the chemistry relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 58

A selected atom has levels at 0, 1.5 and 4.5 eV. Find the energy and approximate vacuum wavelength for a 4.5-to-1.5 eV emission. Could a further drop emit another photon?
Answer and explanation

The first photon has 3.0 eV, or about 4.81×10⁻¹⁹ J, giving λ≈4.14×10⁻⁷ m =414 nm. A later allowed 1.5-to-0 transition could emit a 1.5 eV photon; the selected model does not supply transition probabilities.

The first photon has 3.0 eV, or about 4.81×10⁻¹⁹ J, giving λ≈4.14×10⁻⁷ m =414 nm. A later allowed 1.5-to-0 transition could emit a 1.5 eV photon; the selected model does not supply transition probabilities.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the chemical mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

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