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This quiz consists of 5 multiple choice and 5 short answer questions through Chapter Ten, Quantum Geometry.

## Multiple Choice Questions

**1. 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 all possible paths at the same time. **(c)** It follows the same path every time. **(d)** It follows a unique path every time.

**2. What discovery was made that incorporated gravitational force into quantum mechanics via string theory?**
**(a)** At extremely small scales, gravity is fused with the strong force. **(b)** A vibrational pattern with the properties of the graviton was discovered. **(c)** Gravity could be made symmetric only if the graviton is a string. **(d)** Gravity was found to be supersymmetric.

**3. What is the fundamental force responsible for keeping the nucleus of an atom "glued" together?**
**(a)** The nuclear-strong force. **(b)** Potential electrical force. **(c)** Quantum-tunneling force. **(d)** Gravitational force.

**4. In Einstein's famous equation, E=mc^2, what does "c" represent?**
**(a)** The object's density. **(b)** The speed of light. **(c)** The frequency of light. **(d)** The speed of the object.

**5. Quantum electroweak theory concerns quantum mechanics and _____.**
**(a)** The strong force. **(b)** Gravity. **(c)** The electromagnetic force. **(d)** The weak force.

## Short Answer Questions

**1.** How many dimensions did the tiny objects involved in the original statement of string theory have?

**2.** What metric best approximates the scales at which extra dimensions would have a major impact?

**3.** Which of the following qualities must a physical law have in order to be considered symmetric?

**4.** Which of the follow best describes a boson?

**5.** According to string theory, why do different particles have different properties?

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