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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. Where was Lord Kelvin born?
(a) Paris, France.
(b) London, England.
(c) Belfast, Northern Ireland.
(d) New York, New York.

2. What principle states that no two electrons can occupy the same quantum state?
(a) The Pythagorean theorem.
(b) Quantum gravity.
(c) The Planck constant.
(d) The Pauli exclusion principle.

3. An electron has what kind of electric charge?
(a) Negative.
(b) Neutral.
(c) Positive.
(d) Degenerative.

4. Newton's notation for differentiation uses what symbol placed over a function name to denote the time derivative of that function?
(a) A dot.
(b) An omega.
(c) An omicron.
(d) A line.

5. In particle physics, what refers to a proposed symmetry of nature relating two basic classes of elementary particles: bosons and fermions?
(a) A black hole.
(b) Verisimilitude.
(c) A limit.
(d) Supersymmetry.

6. What term refers to an elementary particle, the quantum of light and all other forms of electromagnetic radiation?
(a) Nucleus.
(b) Electron.
(c) Photon.
(d) Radon.

7. Jean le Rond d'Alembert came up with what idea that solved the zero problem in calculus?
(a) An equation.
(b) A derivative.
(c) A quanta.
(d) A limit.

8. The Leibniz–Newton calculus controversy was an argument between Sir Isaac Newton and Gottfried Leibniz over what?
(a) Who had first invented calculus.
(b) Who had first invented geometry.
(c) Who had first invented algebra.
(d) Who had first invented quantum mechanics.

9. During what years did Georg Cantor live?
(a) 1689-1759.
(b) 1845-1918.
(c) 1777-1836.
(d) 1811-1878.

10. Carl Gauss referred to mathematics as what?
(a) “Theology’s twin.”
(b) “The queen of sciences.”
(c) “The key to philosophy.”
(d) “The end of science.”

11. What term refers to the viewpoint that regards reason as the chief source and test of knowledge?
(a) Rationalism.
(b) Dadaism.
(c) Absurdism.
(d) Archism.

12. What principle holds that there is an inverse relation between the fineness with which a particular's location can be determined and the fineness with which its velocity can be determined?
(a) The Heisenberg uncertainty principle.
(b) The Pythagorean Theorem.
(c) The Golden Ratio.
(d) The Planck constant.

13. Approximately when did Johannes Kepler live?
(a) 1571-1630.
(b) 1489-1550.
(c) 1501-1559.
(d) 1611-1669.

14. What refers to an optical telescope that uses a single or combination of curved mirrors that reflect light and form an image?
(a) An Alhazen’s telescope.
(b) A reflecting telescope.
(c) A chromatic telescope.
(d) A refracting telescope.

15. In mathematics, the cardinality of a set is a measure of what?
(a) The quantity of the number of the set combined.
(b) The number of possible derivatives of the set.
(c) The number of elements of the set.
(d) The inverse quality of the set.

Short Answer Questions

1. What is the study of geometric properties that are invariant under projective transformations?

2. The Rayleigh–Jeans law revealed an important error in physics theory of its time. The law predicted an energy output that diverges towards infinity as wavelength approaches what?

3. The author says in Chapter 6, “Infinity’s Twin” that by employing the concept of infinity, Johannes Kepler showed that ellipses and what were the same?

4. When did Sir Isaac Newton live?

5. In what year did Albert Einstein publish a paper that explained experimental data from the photoelectric effect, leading to the quantum revolution?

(see the answer keys)

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