Question 1

Which of the following is NOT a fundamental SI base unit?

Accepted Answer

newton (N)

Question 2

A diamond has a volume of $$1.84\ 	ext{in}^3. $$What is its volume in cubic centimeters ($$	ext{cm}^3$$)? Use $$1\ 	ext{in} = 2.54\ 	ext{cm}.$$

Accepted Answer

$$30.2\ 	ext{cm}^3$$

Question 3

Which of the following best describes the difference between accuracy and precision?

Accepted Answer

Accuracy is closeness to true value; precision is repeatability.

Question 4

A lake is roughly circular with a radius of $$500\ 	ext{m}$$ and an average depth of $$10\ 	ext{m}. $$Estimate its volume using order of magnitude reasoning.

Accepted Answer

$$\sim 10^7$\ 	ext{m}^3$$

Question 5

Which SI prefix represents $$10^{-6}$$?

Accepted Answer

micro

Question 6

What is the correct dimensional formula for energy?

Accepted Answer

$$[M][L]^2/[T]^2$$

Question 7

If a vector $$\vec{A}$$ has components $$A_x = 3$$ and $$A_y = 4$$, what is its magnitude?

Accepted Answer

$$5$$

Question 8

Which operation yields a scalar quantity from two vectors $$\vec{A}$$ and $$\vec{B}$$?

Accepted Answer

Dot product ($$\vec{A} \cdot \vec{B})$$

Question 9

A speedometer in a U.S.-built car shows both mph and km/h. If the car is moving at $$60\ 	ext{mph}$$, what is its speed in $$	ext{km/h}$$? ($$1\ 	ext{mile} = 1.61\ 	ext{km})$$

Accepted Answer

$$96.6\ 	ext{km/h}$$

Question 10

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 11

If $$\vec{A} = 2\hat{i} + 3\hat{j} + \hat{k}$$ and $$\vec{B} = -4\hat{i} + 2\hat{j} - \hat{k}$$, what is $$\vec{A} \cdot \vec{B}$$?

Accepted Answer

$$-3$$

Question 12

Which of the following statements about significant figures is correct?

Accepted Answer

When multiplying, the answer should have as many significant figures as the number with the least significant figures.

Question 13

A measurement is $$8.8 \pm 0.1\ 	ext{cm}. $$What is the relative uncertainty?

Accepted Answer

$$1\%$$

Question 14

Which of the following is the correct vector product (cross product) of $$\hat{i} 	imes \hat{j}$$?

Accepted Answer

$$\hat{k}$$

Question 15

If two vectors are perpendicular, what is the value of their dot product?

Accepted Answer

Zero

Question 16

Which of the following is a derived SI unit?

Accepted Answer

newton (N)

Question 17

A vector $$\vec{A} is $$multiplied by a scalar $$c = -2. $$What happens to the vector?

Accepted Answer

Its magnitude doubles and direction reverses.

Question 18

Which of the following is NOT a branch of modern physics?

Accepted Answer

Classical Mechanics

Question 19

If a vector $$\vec{A}$$ has components $$A_x = -3$$, $$A_y = 4$$, what is the angle $$	heta it $$makes with the x-axis?

Accepted Answer

$$126.9^\circ$$

Units, Physical Quantities, and Vectors – Foundations of Physics

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