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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 Einstein matrix.
(b) The six-dimensional torus.
(c) The Kaluza-Klein shape.
(d) The Calabi-Yau space.

2. What are the characteristics of a wave?
(a) Energy level, polarity, and speed.
(b) Amplitude and energy.
(c) Frequency, wavelength, and amplitude.
(d) Frequency, polarity, and wavelength.

3. What metric best approximates the scales at which extra dimensions would have a major impact?
(a) One-billionth of a meter.
(b) The Kaluza length.
(c) The Planck length.
(d) The nanometer.

4. Why are the extra dimensions needed in string theory?
(a) To account for the infinite-energy problem.
(b) To remove time from its equations.
(c) To prevent the negative and infinite answers to its physical equations.
(d) To provide more space for strings.

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

Short Answer Questions

1. Under string theory, which of the following is true regarding extra dimensions?

2. What property of electromagnetic waves did Max Planck solve the thermodynamic problem of the oven by discovering?

3. What characteristic did Werner Heisenberg discovered that some features of the universe at very small scales, and some properties of particle?

4. What is the photoelectric effect?

5. The extra dimension or dimensions in M-theory are needed in order to incorporate _____.

(see the answer key)

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