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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 1 Chapter 1 Introduction 1 1 Standards of Length Mass and Time 1 Since 1983 the standard meter has been defined in terms of which of the following a specific alloy bar housed at Sevres