Electron Transitions & Emission Spectra — Practice · Grade 11 Science

Chapter: Atoms, Electrons & Periodicity

What this practice covers

By the end of Electron Transitions & Emission Spectra you should be able to:

8 questions, numeric and written answer, each with a worked explanation.

Vocabulary used: ground state, excited state, photon.

Problem 1

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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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