1. Which of the following would serve as the best time standard?
the rotation of Earth upon its axis
the vibration of a CS-133 atom
a grandfather clock
the buzzing of a mosquito

2. (ii), (iii) and (iv) (i) only all four (i), (ii), and (iii)
Suppose that the three fundamental standards of the metric system were length, density, and time rather than length, mass, and time. The standard of density in this system is to be defined as that of water. Which of the following are among the considerations about water that you would need to address to make sure that the standard of density is as accurate as possible? (i) That the amount of water is at some defined value. (ii) That the pressure of the water is at some defined value. (iii) That the temperature of the water is at some defined value. (iv) That the water is pure.
(ii), (iii) and (iv)
(i) only
all four
(i), (ii), and (iii)

3. Which of the following expresses 3 × 10-4 m correctly using the metric prefixes given?
Which of the following expresses 3 x 10-4 m correctly using the metric prefixes given in Table 1.4?
30 cm
30 km
0.3 mm
3 mm

4. Which of the following expresses 5
Which of the following expresses 5.2 × 10-5 s correctly using the metric prefixes given?
520 ks
0.52 ms
52 ms
52 ns

5. Which of the following expresses 72 × 102 g correctly using prefixes given?
Which of the following expresses 72 x 102 g correctly using prefixes given in Table 1.4?
0.72 g
7.2 kg
720 kg
0.72 kg

6. (iv) only (ii) only (i) and (iii) (ii) and (iv)
Suppose that two quantities, A and B, have different dimensions. Determine which of the following arithmetic operations could be physically meaningful. (i) A + B (ii) A/B (iii) B - A (iv) AB
(iv) only
(ii) only
(i) and (iii)
(ii) and (iv)

7. Which of the following statements is correct?
If an equation is dimensionally correct it must be true and if it is not dimensionally correct it may be true.
If an equation is dimensionally correct it may be true and if an equation is not dimensionally correct it may be true.
If an equation is dimensionally correct it may be true and if it is not dimensionally correct then it cannot be true.
If an equation is dimensionally correct it must be true and if an equation is not dimensionally correct it cannot be true.

8. Which of these numbers is closest to the number of barbers in the US?
10,000
300 million
1000
200,000

9. Which of the following represent reasonable order-of-magnitude estimates for your age in seconds?

10. Within what percentage of the correct value would you expect an order-of-magnitude calculation to result?
100%
10%
1000% 1%

11. In reply to a student's question, a guard in a natural history museum says of the fossils near his station, "When I started work here twenty-four years ago, they were 80 million years old, so you can add it up." Which of the following is the best conclusion that the student can make regarding the age of the fossils?
The fossils are less than 80,000,000 years old.
The fossils are still about 80,000,000 years old.
The fossils are 80,000,024 years old.
The fossils are more than 80,000,000 years old.

12. In a machine shop, two cams are produced, one of aluminum and the other of cast iron. Both cams have the same mass. Which cam is larger?
both cams have the same size
cannot tell from the information given
the aluminum cam
the iron cam

13. Which of the following is true?
Dimensional analysis can never give you the numerical value of constants of proportionality that may appear in an algebraic expression, but it can sometimes give the proper mathematical forms for the variables (such as whether they are squared, multiplied by each other, divided by each other, added together, or subtracted from each other).
Dimensional analysis can sometimes give you the numerical value of constants of proportionality that may appear in an algebraic expression, and it can sometimes give the proper mathematical forms for the variables (such as whether they are squared, multiplied by each other, divided by each other, added together, or subtracted from each other).
Dimensional analysis can never give you the numerical value of constants of proportionality that may appear in an algebraic expression and it can never give the proper mathematical forms for the variables.
Dimensional analysis can sometimes give you the numerical value of constants of proportionality that may appear in an algebraic expression, but it can never give the proper mathematical forms for the variables (such as whether they are squared, multiplied by each other, divided by each other, added together, or subtracted from each other).

14. The distance between two cities is 100 miles
The distance between two cities is 100 miles. The distance in kilometers is
exactly 100 kilometers.
less than 100 kilometers.
unable to be determined from given information.
more than 100 kilometers.

15. Suppose that you measure the position of a chair using a meter stick and you record the distance of the center of the seat from the wall. Which of the following measurements is the most reasonable? m m
1 m
1.04 m

16. If the numbers and 5.67 are multiplied, divided, added, or subtracted, how many significant figures result in each case?
2, 3, 4, 5
3, 3, 4, 3
8, 5, 4, 3
5, 3, 5, 4

17. The units gal/h can be converted to which of the following units?
(i) m/s (ii) cm/s2 (iii) mm3/y (iv) liters/acre
The units gal/h can be converted to which of the following units? (i) m/s (ii) cm/s2 (iii) mm3/y (iv) liters/acre
only (iii)
(i) and (iv)
(iii) and (iv)
(ii) and (iv)

18. A right triangle has sides 5 m, 12 m, and 13 m
A right triangle has sides 5 m, 12 m, and 13 m. What is the sine of the smallest angle of this triangle?
12/5
5/12
5/13
12/13