Q: A proton and an electron are placed 1.0 cm apart in vacuum. What is the magnitude of the electric force between them? (Given: $$k = 8.99 \times 10^9$\ \text{N} \cdot \text{m}^2/\text{C}^2$$, $$e = 1.60 \times 10$$^{-19}$$\ \text{C})$$

$$F = 2.3 \times 10$$^{-25}$$\ \text{N}$$

Q: A single slit of width $$0.10\ \text{mm} is $$illuminated with light of wavelength $$600\ \text{nm}. $$The screen is $$1.5\ \text{m}$$ away. What is the width of the central maximum?

$$\text{width} = 1.8\ \text{cm}$$

Q: A $$2\ \mu\text{C}$$ charge is placed in an electric potential of $$500\ \text{V}. $$What is its electric potential energy?

$$U = 1.0 \times 10$$^{-3}$$\ \text{J}$$

Question 1

A proton and an electron are placed 1.0 cm apart in vacuum. What is the magnitude of the electric force between them? (Given: $$k = 8.99 	imes 10^9$\ 	ext{N} \cdot 	ext{m}^2/	ext{C}^2$$, $$e = 1.60 	imes 10$$^{-19}$$\ 	ext{C})$$

Accepted Answer

$$F = 2.3 	imes 10$$^{-25}$$\ 	ext{N}$$

Question 2

Which of the following statements about electric fields is correct?

Accepted Answer

The electric field points in the direction of the force on a positive test charge.

Question 3

A 12 V battery is connected to a resistor of $$4\ \Omega. $$What is the current through the resistor?

Accepted Answer

$$I = 3\ 	ext{A}$$

Question 4

Three identical light bulbs are connected in parallel to a 9 V battery. If each bulb has a resistance of $$9\ \Omega$$, what is the total current supplied by the battery?

Accepted Answer

$$I = 1\ 	ext{A}$$

Question 5

A wire carries a current of $$2\ 	ext{A}$$ perpendicular to a uniform magnetic field of $$0.5\ 	ext{T}. $$What is the force on a $$0.3\ 	ext{m}$$ length of the wire?

Accepted Answer

$$F = 0.3\ 	ext{N}$$

Question 6

A charged particle moves parallel to a uniform magnetic field. What is the magnetic force acting on it?

Accepted Answer

The force is zero.

Question 7

A sound wave travels from air into water. Which of the following quantities remains unchanged?

Accepted Answer

Frequency

Question 8

A string fixed at both ends has a length $$L = 1.2\ 	ext{m}$$ and supports a wave speed $$v = 120\ 	ext{m/s}. $$What is the frequency of the third harmonic?

Accepted Answer

$$f_3 = 150$$\ 	ext{Hz}$$

Question 9

A pipe open at both ends has a length of $$0.85\ 	ext{m}. If $$the speed of sound is $$340\ 	ext{m/s}$$, what is the fundamental frequency?

Accepted Answer

$$f_1 = 200$$\ 	ext{Hz}$$

Question 10

A light ray passes from glass ($$n_1 = 1.5$) into air (n_2$ = 1.0). $$What is the critical angle for total internal reflection?

Accepted Answer

$$	heta_c = 41.8^\circ$$

Question 11

In a double-slit experiment, the slit separation is $$0.25\ 	ext{mm}$$, the screen is $$2.0\ 	ext{m}$$ away, and the light has wavelength $$500\ 	ext{nm}. $$What is the distance between the central maximum and the first-order bright fringe?

Accepted Answer

$$y = 4.0\ 	ext{mm}$$

Question 12

A single slit of width $$0.10\ 	ext{mm} is $$illuminated with light of wavelength $$600\ 	ext{nm}. $$The screen is $$1.5\ 	ext{m}$$ away. What is the width of the central maximum?

Accepted Answer

$$	ext{width} = 1.8\ 	ext{cm}$$

Question 13

A nucleus has a mass defect $$\Delta m = 0.02\ 	ext{u}. $$What is its binding energy?

Accepted Answer

$$E = 18.6\ 	ext{MeV}$$

Question 14

A radioactive sample has a half-life of 10 years. What fraction of the original sample remains after 30 years?

Accepted Answer

$$\frac{1}{8}$$

Question 15

Which of the following increases the stability of a nucleus?

Accepted Answer

Higher binding energy per nucleon

Question 16

A car horn emits a frequency of $$500\ 	ext{Hz}. If $$the car moves toward a stationary observer at $$30\ 	ext{m/s} ($$speed of sound $$= 340\ 	ext{m/s}$$), what frequency does the observer hear?

Accepted Answer

$$f' = 546\ 	ext{Hz}$$

Question 17

Which of the following best describes the difference between series and parallel circuits?

Accepted Answer

In series, current is the same; in parallel, voltage is the same.

Question 18

A $$2\ \mu	ext{C}$$ charge is placed in an electric potential of $$500\ 	ext{V}. $$What is its electric potential energy?

Accepted Answer

$$U = 1.0 	imes 10$$^{-3}$$\ 	ext{J}$$

Question 19

Which of the following is true about the Doppler effect for sound?

Accepted Answer

If the source moves toward the observer, the observed frequency increases.

Question 20

A beam of white light passes through a double slit. Which color will have the largest fringe separation on the screen?

Accepted Answer

Red

PCS130 Final Exam Master Review: Electrostatics, Circuits, Magnetism, Waves, Optics, and Nuclear Physics

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