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This quiz consists of 5 multiple choice and 5 short answer questions through Chapter Twelve, Beyond Strings, In Search of M-Theory.

Multiple Choice Questions

1. What shape allows for the vibrational patterns that we observe in our universe?
(a) The Calabi-Yau space.
(b) The six-dimensional torus.
(c) The Einstein matrix.
(d) The Kaluza-Klein shape.

2. What property did the double-slit experiment demonstrate that light has?
(a) It has an infinite number of possible frequencies.
(b) It has a finite energy level at all frequencies.
(c) It can be bent by gravity fields.
(d) It behaves as a wave.

3. What rule did Max Planck discover the electromagnetic waves bounded in a container, such as an oven, must follow?
(a) They must have a whole number of peaks and troughs that fit perfectly inside the container.
(b) There must be an even number of peaks and troughs.
(c) The frequencies of the waves must all be the same.
(d) The energies of all waves inside the over must cancel out to zero.

4. Which of the following accurately describes the phenomenon of "quantum tunneling"?
(a) High-energy waves can penetrate the fabric of space-time for very short periods of time.
(b) Particles can sometimes "borrow" energy to move in ways impossible in classical physics.
(c) Some particles are linked together, no matter how much space separates them.
(d) Particles with high energy can vanish in one location, instantly appearing in another.

5. Richard Feynman's "sum over paths" theory states that in the double-slit experiment, an electron behaves in what way?
(a) It follows the same path every time.
(b) It follows all possible paths at the same time.
(c) The sum of all possible frequencies describes the frequency of the final path taken.
(d) It follows a unique path every time.

Short Answer Questions

1. How does the shape of the extra "curled up" dimensions affect the vibration of strings?

2. Kaluza-Klein theory units which two fundamental forces?

3. What is one possible way that the three dimensions we observe could have been "stretched out"?

4. The wave-like nature of the electron means that after a collision, _____.

5. What is a virtual string pair?

(see the answer key)

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