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Chapter 1, Introduction

CHAPTER 1

Conceptual Problems

C1. A room in a house has a floor area of 120 ft2. Which of the following is most likely the approximate volume of the room?

a. 3 m3

b. 30 m3

c. 300 m3 d. 3 000 m3

C2. When SI units are plugged into an equation, it is found that the units balance. Which of the following can we expect to be true for this equation?

a. The equation will be dimensionally correct.

b. The equation will be dimensionally correct except sometimes in cases when the right

hand side of the equation has more than one term. c. The equation will not be dimensionally correct.

d. All constants of proportionality will be correct.

C3. How long has it been that scientists have accepted that the nucleus of the atom consists of neutrons and protons? Think of your answers in terms of order of magnitude.

a. about a decade

b. about a century

c. about a thousand years d. since Aristotle

C4. Consider the sine of any angle between 30° and 40°. If the angle were doubled, what would happen to the sine of the angle?

a. It would double.

b. It would more than double.

c. It would increase but be less than double.

d. In different cases, it could do any of the above.

C5. There are other ways of expressing uncertainty besides significant figures. For example, suppose a quantity is known to have a value between 20.4 and 20.0 and our best estimate of the value is midrange at 20.2. We could write the number as 20.2 +/- 0.2 and say that the number has a 1% uncertainty. We would also say it has 3 significant figures. If we square a number with 1% uncertainty (i.e., 2 parts in about 200) and 3 significant figures, what results?

a. A number with 1% uncertainty and 3 significant figures. b. A number with 2% uncertainty and 3 significant figures. c. A number with 2% uncertainty and 2 significant figures. d. A number with 1% uncertainty and 2 significant figures.

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