Deck 1: Measurement

Question 1

A nanosecond is:

A) 10⁹ s
B) 10^-9 s
C) 10^-6 s
D) 10^-15 s
E) 10^-12 s

Answer 1

10^-9 s

Question 2

(7.0 *10⁶)/(2.0 *10^-6) =

A) 3.5* 10^-12
B) 3.5 * 10^-6
C) 3.5
D) 3.5 * 10⁶
E) 3.5 *10¹²

Answer 2

3.5 *10¹²

Question 3

The SI base unit for mass is:

A) gram
B) pound
C) kilogram
D) ounce
E) kilopound

Answer 3

kilogram

Question 4

The SI base units have the dimensions of:

A) mass, weight, time
B) length, density, time
C) mass, length, time
D) weight, length, time
E) mass, length, speed

Question 5

In 1866, the U. S. Congress defined the U. S. yard as exactly 3600/3937 international meter. This was done primarily because:

A) length can be measured more accurately in meters than in yards
B) the meter is more stable than the yard
C) this definition relates the common U. S. length units to a more widely used system
D) there are more wavelengths in a yard than in a meter
E) the members of this Congress were exceptionally intelligent

Question 6

A right circular cylinder with a radius of 2.3 cm and a height of 1.4 cm has a total surface area of:

A) 1.7 * 10^-3 m²
B) 3.2 * 10^-3 m²
C) 2.0 *10^-3 m²
D) 5.3* 10^-3 m²
E) 7.4 * 10^-3 m²

Question 7

A cubic box with an edge of exactly 1 cm has a volume of:

A) 10^-9 m³
B) 10^-6 m³
C) 10^-3 m³
D) 10³ m³
E) 10⁶ m³

Question 8

The SI standard of length is based on:

A) the distance from the north pole to the equator along a meridian passing through Paris
B) wavelength of light emitted by Hg¹⁹⁸
C) wavelength of light emitted by Kr⁸⁶
D) a precision meter stick in Paris
E) the speed of light

Question 9

A sphere with a radius of 1.7 cm has a volume of:

A) 2.1* 10^-5 m³
B) 9.1* 10^-4 m³
C) 3.6*10^-3 m³
D) 0.11 m³
E) 21 m³

Question 10

(5.0 *10⁴⁾ * (3.0*10^-6) =

A) 1.5 *10^-3
B) 1.5 * 10^-1
C) 1.5* 10¹
D) 1.5 * 10³
E) 1.5 *10⁵

Question 11

5.0 * 10⁵ + 3.0 * 10⁶ =

A) 8.0 * 10⁵
B) 8.0 *10⁶
C) 5.3 * 10⁵
D) 3.5 *10⁵
E) 3.5 * 10⁶

Question 12

Which of the following is closest to a yard in length?

A) 0.01 m
B) 0.1 m
C) 1 m
D) 100 m
E) 1000 m

Question 13

There is no SI base unit for area because:

A) an area has no thickness; hence no physical standard can be built
B) we live in a three (not a two) dimensional world
C) it is impossible to express square feet in terms of meters
D) area can be expressed in terms of square meters
E) area is not an important physical quantity

Question 14

1 mi is equivalent to 1609 m so 55 mph is:

A) 15 m/s
B) 25 m/s
C) 81 m/s
D) 123 m/s
E) 1500 m/s

Question 15

1 m is equivalent to 3.281 ft. A cube with an edge of 1.5 ft has a volume of:

A) 1.2 * 10² m³
B) 9.6 * 10^-2 m³
C) 10.5 m³
D) 9.5 * 10^-2 m³
E) 0.21 m³

Question 16

(5.0 * 10⁴⁾ * (3.0 *10⁶) =

A) 1.5 * 10⁹
B) 1.5*10¹⁰
C) 1.5* 10¹¹
D) 1.5 *10¹²
E) 1.5 *10¹³

Question 17

A right circular cylinder with a radius of 2.3 cm and a height of 1.4 m has a volume of:

A) 23 m³
B) 0.23 m³
C) 9.3 * 10^-3 m³
D) 2.3 * 10^-3 m³
E) 7.4 * 10^-4 m³

Question 18

A square with an edge of exactly 1 cm has an area of:

A) 10^-6 m²
B) 10^-4 m²
C) 10^-2 m²
D) 10² m²
E) 10⁴ m²

Question 19

A gram is:

A) 10^-6 kg
B) 10^-3 kg
C) 1 kg
D) 10³ kg
E) 10⁶ kg

Question 20

A sphere with a radius of 1.7 cm has a surface area of:

A) 2.1 * 10^-5 m²
B) 9.1 *10^-4 m²
C) 3.6 *10^-3 m²
D) 0.11 m²
E) 36 m²

Question 21

Metric time is defined so that one day equals 10 hours; one hour equals 100 minutes; and one minute equals 100 seconds. One metric second equals how many normal seconds?

A) 0.60
B) 0.864
C) 1.00
D) 1.16
E) 1.67

Question 22

Which of the following weighs about a pound on Earth?

A) 0.05 kg
B) 0.5 kg
C) 5 kg
D) 50 kg
E) 500 kg

Question 23

Which of the SI standard units is NOT based on a constant of nature?

A) The meter, because the speed of light can vary from place to place.
B) The second, because cesium cannot be found everywhere.
C) The kilogram, because it is based on an arbitrary piece of metal.
D) The kilogram, because the gram is the standard unit.
E) The meter, because it is defined in terms of the speed of light in vacuum, and there is no perfect vacuum anywhere.

Question 24

The number of significant figures in 0.00150 is:

A) 2
B) 3
C) 4
D) 5
E) 6

Question 25

The SI standard of time is based on:

A) the daily rotation of the Earth
B) the frequency of light emitted by Kr⁸⁶
C) the yearly revolution of the Earth about the sun
D) a precision pendulum clock
E) none of these

Question 26

If 1 u = 1.66 x 10^-27 kg, 1 gram =

A) 1.66 x 10^-24 u
B) 1.66 x 10²⁴ u
C) 1.66 x 10²⁷ u
D) 6.02 x 10²⁶ u
E) 6.02 x 10²³ u

Question 27

1.513 + 27.3 =

A) 29
B) 28.8
C) 28.9
D) 28.81
E) 28.813

Question 28

During a short interval of time the speed v in m/s of an automobile is given by v = at² + bt³, where the time t is in seconds. The units of a and b are respectively:

A) m.s²; m.s⁴
B) s³/m; s⁴/m
C) m/s²; m/s³
D) m/s³; m/s⁴
E) m/s⁴; m/s⁵

Question 29

Two girders are made of the same material. Girder A is twice as long as girder B and has a cross-sectional area that is twice as great. The ratio of the mass density of girder A to the mass density of girder B is:

A) 4
B) 2
C) 1
D) 1/2
E) 1/4

Question 30

Suppose A = BC, where A has the dimensions L/M and C has the dimensions L/T. Then B has the dimension:

A) T/M
B) L²/TM
C) TM/L²
D) L²T/M
E) M/L²T

Question 31

The unit of mass density might be:

A) pound per cubic foot
B) gram per liter
C) kilogram per meter
D) cubic kilogram per meter
E) cubic meter per kilogram

Question 32

Six million seconds is approximately:

A) One day
B) Ten days
C) Two months
D) One year
E) Ten years

Question 33

The number of significant figures in 15.0 is:

A) 1
B) 2
C) 3
D) 4
E) 5

Question 34

One tonne (metric ton) is 1000 kg. How many grams are there in one tonne?

A) 10^-6
B) 10^-3
C) 1
D) 10³
E) 10⁶

Question 35

3.2* 2.7 =

A) 9
B) 8
C) 8.6
D) 8.64
E) 8.640

Question 36

A sphere has a radius of 21 cm and a mass of 1.9 kg. Its mass density is about:

A) 4.9 * 10^-5 kg/m³
B) 2.1 *10^-4 kg/m³
C) 2.0 * 10^-2 kg/m³
D) 16 kg/m³
E) 49 kg/m³

Question 37

Suppose A = BⁿC^m, where A has dimensions LT, B has dimensions L²T^-1, and C has dimensions LT². Then the exponents n and m have the values:

A) 2/3; 1/3
B) 2; 3
C) 4/5; -1/5
D) 1/5; 3/5
E) 1/2; 1/2