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

## Multiple Choice Questions

**1. 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 Planck constant. **(c)** The Golden Ratio. **(d)** The Pythagorean Theorem.

**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?**
**(a)** The sun. **(b)** Zero. **(c)** Pi. **(d)** One.

**3. What term refers to a branch of pure mathematics devoted primarily to the study of the integers?**
**(a)** Classical physics. **(b)** Algebra. **(c)** Number theory. **(d)** Geometry.

**4. According to the author in Chapter 6, “Infinity's Twin,” “i” appears whenever one takes the square root of what?**
**(a)** Zero. **(b)** A negative number. **(c)** A fraction. **(d)** Infinity.

**5. 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?**
**(a)** Parabolas. **(b)** Derivatives. **(c)** Tangents. **(d)** Limits.

**6. In what year did Albert Einstein publish a paper that explained experimental data from the photoelectric effect, leading to the quantum revolution?**
**(a)** 1926. **(b)** 1942. **(c)** 1905. **(d)** 1918.

**7. The name “electron” was introduced in 1891 by what Irish physicist?**
**(a)** George Johnstone Stoney. **(b)** Sir Isaac Newton. **(c)** Albert Einstein. **(d)** Galileo Galilei.

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

**9. What mathematical term refers to a function giving an exact pairing of the elements of two sets?**
**(a)** Injection. **(b)** Bijection. **(c)** Infinity. **(d)** Derivation.

**10. In what year was Albert Einstein awarded the Nobel Prize in 1921 for his “discovery of the law of the photoelectric effect”?**
**(a)** 1927. **(b)** 1945. **(c)** 1921. **(d)** 1911.

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

**12. In Chapter 8, “Zero Hour at Ground Zero,” the author states that the Hubble telescope saw that most galaxies were flying away from one another by using red-shifting and blue-shifting effects, the cosmological equivalent of what?**
**(a)** The differential effect. **(b)** The Heisenberg effect. **(c)** The radon effect. **(d)** The Doppler effect.

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

**14. Johannes Kepler used calculus to determine that planets had what, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?**
**(a)** Elliptical orbits. **(b)** Circular movement. **(c)** Movement. **(d)** Circular orbits.

**15. Bosonic string theory was developed in what decade?**
**(a)** 1950s. **(b)** 1960s. **(c)** 1980s. **(d)** 1890s.

## Short Answer Questions

**1.** What term refers to numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite?

**2.** When was Philosophiæ Naturalis Principia Mathematica first published?

**3.** How is the Planck relation expressed?

**4.** According to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians,” Jean le Rond d'Alembert had satisfied the mathematician's need for what?

**5.** When did Sir Isaac Newton live?

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