Question 1

A reasonable estimate for the duration of a typical physics lecture is
A)600 s.
B)1000 s.
C)3500 s.
D)10,000 s.

Accepted Answer

A typical physics lecture is usually around 50 to 90 minutes long. 3500 seconds is close to 58 minutes, which falls within this range, making it a reasonable estimate.

Question 2

If a circle has a radius of 1.109 m,what is its area expressed to the correct number of significant figures? A)3.86 m² B)3.863 m² C)3.864 m² D)3.8638 m² E)3.86379 m²

Accepted Answer

To find the area of a circle, we use the formula A=πr^2. 
Substituting the given radius, we get A=π(1.109)^2.
Using a calculator, this evaluates to 3.8638 (rounded to four decimal places).
Since the least precise measurement (radius) has four significant figures, the answer should also be rounded to four significant figures. 
Therefore, the correct answer is 3.864 m^2 (choice C).

Question 3

The volume of a 10-mL test tube is equivalent to which one of the following quantities? A)0.01 L B)0.001 kL C)0.1 L D)1 × 10^-6 L E)0.001 ML

Accepted Answer

A

Question 4

Which of the following numbers is the smallest? A)15 × 10^-3 B)0.15 × 10⁰ C)0.00015 × 10³ D)0.00000015 × 10⁶

Accepted Answer

The answer of Which of the following numbers is the...

Question 5

Which one of the following numbers is equivalent to the number 0.0001776? A)1.776 × 10^-4 B)17.76 × 10^-3 C)1776 × 10^-5 D)177.6 × 10^-7

Accepted Answer

0.0001776 can be rewritten as 1.776 × 10^-4 by moving the decimal point four places to the right, which matches option A.

Question 6

In the product A ∙ B ∙ C,A has 5 significant figures,B has 2 significant figures,and C has 3 significant figures.How many significant figures does the product have?
A)2
B)3
C)4
D)5
E)10

Accepted Answer

When multiplying numbers, the product should have the same number of significant figures as the factor with the fewest significant figures. Since B has 2 significant figures, the product will also have 2 significant figures.

Question 7

In the quotient $\frac { A } { B \cdot C }$ ,A has 5 significant figures,B has 2 significant figures,and C has 3 significant figures.How many significant figures does the quotient have?
A)2
B)3
C)4
D)0
E)1

Accepted Answer

The quotient has the same number of significant figures as the number with the fewest significant figures in the numerator and denominator. In this case, B has 2 significant figures, so the quotient has 2 significant figures.

Question 8

Write out the number 8.42 × 10^-5 in full with a decimal point and correct number of zeros. A)0.00000842 B)0.0000842 C)0.000842 D)0.00842

Accepted Answer

To convert scientific notation to decimal form, we move the decimal point to the left by the number of places indicated by the exponent. In this case, we move the decimal point 5 places to the left since the exponent is negative 5. This gives us 0.0000842.

Question 9

A reasonable estimate for the height of the walls in an ordinary American home is
A)10 m.
B)8 m.
C)2.5 m.
D)1.5 m.

Accepted Answer

The height of typical walls in an American home is generally around 2.5 meters or 8 feet. Options A and B are too high for a typical home, while option D is too low.

Question 10

A rectangular garden measures 15 m long and 13.70 m wide.What is the length of a diagonal from one corner of the garden to the other? A)18 m B)19 m C)20 m D)4.1 × 10² m

Accepted Answer

We can use the Pythagorean theorem to find the length of the diagonal. 
The diagonal, the length we are looking for, forms the hypotenuse of a right triangle with the length and width of the garden as the other two sides. 
So, applying Pythagorean theorem:
diagonal^2 = length^2 + width^2
diagonal^2 = 15^2 + 13.70^2
diagonal^2 = 225 + 187.69
diagonal^2 = 412.69
diagonal = sqrt(412.69)
diagonal = 20 meters (approx. to 2 decimal places) 
Therefore, the answer is C.

Question 11

A volume of 100 mL is equivalent to which one of the following volumes? A)1 kL B)10^-6 μL C)0.1 L D)0.01 ML

Accepted Answer

100 mL is equivalent to 0.1 L. Option A is way too big, as 1 kL is 1000 L. Option B is way too small, as it is only 1 millionth of a microliter. Option D is too big, as 0.01 ML is equivalent to 10,000 mL.

Question 12

A reasonable estimate for the mass of a typical new-born baby is
A)1 kg.
B)3 kg.
C)10 kg.
D)20 kg.

Accepted Answer

A typical newborn baby weighs around 3 kg (6-8 pounds). Option A (1 kg) is too small, option C (10 kg) and option D (20 kg) are too large.

Question 13

What is the result of the calculation (0.410 + 0.021)× (2.20 × 10³)? A)880 B)946 C)948 D)950

Accepted Answer

First, we need to perform the operation inside the parentheses:

(0.410 + 0.021) = 0.431

Next, we multiply by 2.20 x 10^13:

0.431 x 2.20 x 10^13 = 9.48 x 10^12

Rounding to the nearest whole number, we get:

9,480,000,000,000 ≈ 9,480,000,000,000 = 948 billion

Therefore, the best choice is C.

Question 14

The length and width of a rectangle are 1.125 m and 0.606 m,respectively.Multiplying,your calculator gives the product as 0.68175.Rounding properly to the correct number of significant figures,the area of the rectangle should be written as A)0.68 m² B)0.682 m² C)0.6818 m² D)0.68175 m²

Accepted Answer

The correct number of significant figures is determined by the least number of significant figures in the given measurements, which are 4 significant figures for both 1.125 m and 0.606 m. Therefore, the product (area) should also be reported with 4 significant figures, making 0.682 m the correct answer.

Question 15

A reasonable estimate for the height of an ordinary adult male is
A)50 cm.
B)70 cm.
C)200 cm.
D)300 cm.

Accepted Answer

The average height for an adult male is around 175cm, so of the options given, C (200 cm) is the most reasonable estimate. A (50 cm) and B (70 cm) are too short, and D (300 cm) is far too tall.

Question 16

A reasonable estimate for the mass of an ordinary passenger car is
A)100 kg
B)1000 kg
C)5000 kg
D)10,000 kg

Accepted Answer

An ordinary passenger car typically weighs between 1000-2000 kg. Option A is too low and Option C and D are too high.

Question 17

A reasonable estimate for the mass of a typical female college student is
A)20 kg.
B)50 kg.
C)150 kg.
D)200 kg.

Accepted Answer

According to CDC, the average weight of a female college student is around 140-150 pounds (which is approximately 64-68 kg). Therefore, the best choice for the mass of a typical female college student would be 50 kg (which is closer to the lower range of the above-mentioned weight range).

Question 18

Express (2.2 × 10⁶)^-1/2 in scientific notation. A)6.7 × 10^-⁴ B)1.5 × 10³ C)1.5 × 10^-5 D)1.5 × 10⁴

Accepted Answer

(2.2 × 10⁶)^-1/2 = 10^6×(-1/2) × 2.2^(-1/2) = 10^-3 × 2.2^(-1/2) = 10^-3 × 1.5 = 1.5 × 10^-3 = 1.5 × 10^-4

Question 19

The last page of a book is numbered 764.The book is 3.0 cm thick,not including its covers.What is the average thickness (in centimeters)of a page in the book,rounded to the proper number of significant figures?
A)0.0039 cm
B)0.072 cm
C)0.0079 cm
D)0.00393 cm
E)0.00785 cm

Accepted Answer

To find the average thickness of a page, we need to divide the total thickness of the book by the number of pages.
Number of pages = 764
Total thickness = 3.0 cm
Average thickness = Total thickness/Number of pages = 3.0 cm/764 = 0.00393 cm/page
Since we need to round to the proper number of significant figures, the answer should be rounded to 2 decimal places, which gives us 0.0079 cm/page.
Therefore, the answer is C, 0.0079 cm.

Question 20

Using a digital balance the mass of a certain piece of wood is read as 12.946 g.Thinking in terms of accuracy and significant figures,what value would you record on your data sheet if the balance is accurate to one-tenth of a gram?
A)12.9 g
B)12.95 g
C)13 g
D)13.0 g

Accepted Answer

The answer of Using a digital balance the mass of...

Quiz 1: Introduction

A reasonable estimate for the duration of a typical physics lecture is

If a circle has a radius of 1.109 m,what is its area expressed to the correct number of significant figures?

The volume of a 10-mL test tube is equivalent to which one of the following quantities?

Which of the following numbers is the smallest?

Which one of the following numbers is equivalent to the number 0.0001776?

In the product A ∙ B ∙ C,A has 5 significant figures,B has 2 significant figures,and C has 3 significant figures.How many significant figures does the product have?

In the quotient $\frac { A } { B \cdot C }$ ,A has 5 significant figures,B has 2 significant figures,and C has 3 significant figures.How many significant figures does the quotient have?

Write out the number 8.42 × 10^-5 in full with a decimal point and correct number of zeros.

A reasonable estimate for the height of the walls in an ordinary American home is

A rectangular garden measures 15 m long and 13.70 m wide.What is the length of a diagonal from one corner of the garden to the other?

A volume of 100 mL is equivalent to which one of the following volumes?

A reasonable estimate for the mass of a typical new-born baby is

What is the result of the calculation (0.410 + 0.021) × (2.20 × 10³) ?

The length and width of a rectangle are 1.125 m and 0.606 m,respectively.Multiplying,your calculator gives the product as 0.68175.Rounding properly to the correct number of significant figures,the area of the rectangle should be written as

A reasonable estimate for the height of an ordinary adult male is

A reasonable estimate for the mass of an ordinary passenger car is

A reasonable estimate for the mass of a typical female college student is

Express (2.2 × 10⁶) ^-1/2 in scientific notation.

The last page of a book is numbered 764.The book is 3.0 cm thick,not including its covers.What is the average thickness (in centimeters) of a page in the book,rounded to the proper number of significant figures?

Using a digital balance the mass of a certain piece of wood is read as 12.946 g.Thinking in terms of accuracy and significant figures,what value would you record on your data sheet if the balance is accurate to one-tenth of a gram?