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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

## Multiple Choice Questions

**1. As a string becomes wrapped, which of its properties increases?**
**(a)** Its spin. **(b)** Its amplitude. **(c)** Its energy. **(d)** Its wavelength.

**2. What is one of the difficulties in determining the shape of the Calabi-Yau space?**
**(a)** There are an infinite number of unknowns in its governing equation. **(b)** The shape has an unequal number of real and imaginary dimensions. **(c)** No field of mathematics exists to support it. **(d)** The equations governing its shape are too complex.

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

**4. Kaluza-Klein theory units which two fundamental forces?**
**(a)** The strong force and the weak force. **(b)** Gravity and electromagnetism. **(c)** Electromagnetism and the weak force. **(d)** Gravity and the strong force.

**5. What is the traditional method of testing theories in physics?**
**(a)** Experimentation. **(b)** Mathematical proof. **(c)** Debate. **(d)** Consensus.

## Short Answer Questions

**1.** What did Stephen Hawking prove regarding black holes?

**2.** What does the string coupling constant govern?

**3.** Which of the following methods has been used to determine the shape of the Calabi-Yau space?

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

**5.** Why are the extra dimensions needed in string theory?

## Short Essay Questions

**1.** What is the strong-weak duality?

**2.** Describe the state of the universe's expansion, including what its ultimate fate might be.

**3.** What is the string-coupling constant, and why is it important?

**4.** What is the origin of M-theory, and what are its basic characteristics?

**5.** What is the Calabi-Yau space?

**6.** What is mirror symmetry, and what is its relevance to string theory?

**7.** Describe the big bang according to string theory.

**8.** Describe the history of space-time tears in physics.

**9.** What is the major difference between the big bang with and without string theory?

**10.** What is a virtual string pair, and how is it formed?

This section contains 873 words(approx. 3 pages at 300 words per page) |