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6. The higher the frequency of a wave 
 
a. the smaller its speed. 
b. the shorter its wavelength. 
c. the greater its amplitude. 
d. the longer its period. 
 
7. Standing waves are produced by the superposition of two waves with 
 
a. the same amplitude, frequency, and direction of propagation. 
b. the same amplitude and frequency, and opposite propagation directions. 
c. the same amplitude and direction of propagation, but different frequencies. 
d. the same amplitude, different frequencies, and opposite directions of propagation. 
 
8. Two successive transverse pulses, one caused by a brief displacement to the right and 
the other by a brief displacement to the left, are sent down a Slinky that is fastened at the 
far end. At the point where the first reflected pulse meets the second advancing pulse, the 
deflection (compared with that of a single pulse) is 
 
a. quadrupled. 
b. doubled. 
c. canceled. 
d. halved. 
 
9. The intensity of an isotropic sound wave is 
 
a. directly proportional to the distance from the source. 
b. inversely proportional to the distance from the source. 
c. directly proportional to the square of the distance from the source. 
d. inversely proportional to the square of the distance from the source. 
e. none of the above. 
 
 
Sound 
 
1. The average person can hear sound waves ranging in frequency from about 20 Hz to 
20 kHz. Determine the wavelengths at these limits, taking the speed of sound to be 340 
m/s. 
 
a. 17 m, 1.7 cm 
b. 0.059 m, 58.8 cm 
c. 6800 m, 6.8 x 106
d. 17m, 0.0017 cm 
 
2. Of these properties of a wave, the one that is independent of the others is its 
 
a. amplitude 
b. wavelength 
c. speed 
d. frequency 
3. The speed of waves in a stretched string depends upon which one of the following? 
 
a. The tension in the string 
b. The amplitude of the waves 
c. The wavelength of the waves 
d. The gravitational field strength 
 
4. A moving van and a small car are traveling in the same direction on a two-lane road. 
The van is moving at twice the speed of the car and overtakes the car. The driver of the 
car sounds his horn, frequency = 440 Hz, to signal the van that it is safe to return to the 
lane. Which is the correct statement? 
 
a. The car driver and van driver both hear the horn frequency as 440 Hz. 
b. The car driver hears 440 Hz, but the van driver hears a lower frequency. 
c. The car driver hears 440 Hz, but the van driver hears a higher frequency. 
d. Both drivers hear the same frequency and it is lower than 440 Hz. 
 
5. A long, narrow pipe closed at one end does not resonate to a tuning fork having 
frequency of 300 Hz until the length of the air column reaches 28 cm. (a) What is the 
speed of sound in air at the existing room temperature? (b) What is the next length of 
column that will resonate to the fork? 
 
a. (a) 0.68 km/s, (b) 56 cm 
b. (a) 0.27 km/s, (b) 14 cm 
c. (a) 0.34 km/s, (b) 84 cm 
d. (a) 0.13 km/s, b) 7.3 cm 
 
6. A locomotive moving at 30.0 m/s approaches and passes a person standing beside the 
track. Its whistle is emitting a note of frequency 2.00 kHz. What frequency will the 
person hear (a) as the train approaches and (b) as it recedes? The speed of sound is 340 
m/s. 
 
a. (a) 1.84 kHz (b) 2.19 kHz 
b. (a) 2.19 kHz (b) 1.84 kHz 
c. (a) 2.18 kHz (b) 2.18 kHz 
d. (a) 1.82 kHz (b) 1.82 kHz 
 
7. What is the speed of sound in air when the air temperature is 31° C 
 
a. 0.313 km/s 
b. 0.362 km/s 
c. 0.35 km/s 
d. 0.332 km/s 
 
8. A sound has an intensity of 5.0 x 10-7 W/m2. What is the intensity level? 
 
a. 57 dB 
b. 5.0 x 106 dB 
c. 6.99 dB 
d. 50 dB 
 
9. The intensity of a sound wave is directly proportional to 
 
a. the frequency. 
b. the amplitude. 
c. the square of the amplitude. 
d. the square of the speed of sound. 
e. none of the above. 
 
 
Fluids and Solids 
 
1. A metal cube, 2.00 cm on each side, has a density of 6600 kg/m3. Find its apparent 
mass when it is totally submerged in water. 
 
a. 0.439 g 
b. 8.01 g 
c. 12.2 g 
d. 44.8 g 
 
2. A certain town receives its water directly from a water tower. If the top of the water in 
the tower is 26.0 m above the water faucet in a house, what should be the water pressure 
at the faucet? (Neglect the effects of other water users.) 
 
a. 0.255 kPa 
b. 255 kPa 
c. 2.65 kPa 
d. 127 kPa 
 
3. A solid piece of aluminum (ρ = 2.70 g/cm3) has a mass of 8.35 g when measured in air. 
If it is hung from a thread and submerged in a vat of oil (ρ = 0.75 g/cm3), what will be the 
tension in the thread? 
 
a. 0.059 N 
b. 0.082 N 
c. 0.023 N 
d. 0.105 N 
 
4. A pipe of varying inner diameter carries water. At point 1 the diameter is 20 cm and 
the pressure is 130 kPa. At point 2, which is 4.0 m higher than point 1, the diameter is 30 
cm. If the flow is 0.080 m3/s, what is the pressure at the second point? 
 
a. 93 kPa 
b. 91 kPa 
c. 135 kPa 
d. 39 kPa 
 
5. The speed of glycerin flowing in a 5.0 cm i.d. pipe is 0.54 m/s. Find the fluid's speed in 
a 3.0 cm i.d. pipe that connects with it, both pipes flowing full. 
 
a. 1.5 m/s 
b. 0.9 m/s 
c. 0.19 m/s 
d. 0.32 m/s 
 
6. A large open tank of nonviscous liquid springs a leak 4.5 m below the top of the liquid. 
What is the theoretical velocity of outflow from the hole? If the area of the hole is 
0.25cm2, how much liquid would escape in exactly 1 minute? 
 
a. (a) 9.4 m/s, (b) 0.0141 m3
b. (a) 88.3 m/s, (b) 0.000235 m3
c. (a) 3.0 m/s, (b) 2540 m3
d. (a) 4.7 m/s, (b) 50.8 m3
 
7. A container is filled with gas at a pressure of 4.0 × 105 Pa. The container is a cube, 
0.10 m on a side, with one side facing south. What is the magnitude and direction of the 
force on the south side of the container due to the gas inside? 
 
a. 2.0 kN southward 
b. 4.0 kN northward 
c. 2.0 kN northward 
d. 4.0 kN southward 
 
8. At a height of 10 km (33000 ft) above sea level, atmospheric pressure is about 210 mm 
of mercury. What is the resultant normal force on a 600 cm2 window of an airplane flying 
at this height? Assume the pressure inside the plane is 760 mm of mercury. The density 
of mercury is 13 600 kg/m3. 
 
a. 6.1 kN 
b. 4.4 x 103
c. 1.2 x 103
d. 4.4 kN 
 
9. A glass tube is bent into the form of a U. A 50.0 cm height of olive oil in one arm is 
found to balance 46.0 cm of water in the other. What is the density of the olive oil? 
 
a. 920 kg/m3
b. 1080 kg/m3
c. 230 kg/m3
d. 0.920 kg/m3
 
Electrostatics and Electromagnetism 
 
1. If two equal charges, each of 1 C, were separated in air by a distance of 1 km, what 
would be the force between them? 
 
a. 9.0 kN repulsion 
b. 9.0 x 109 repulsion 
c. 1.0 x 10-6 repulsion 
d. 9.0 x 1015 repulsion 
 
2. One charge of (+5.0µC) is placed at exactly x = 0, and a second charge (+7.0µC) at x = 
100 cm. Where can a third be placed so as to experience zero net force due to the other 
two? 
 
a. at x = 5.5 cm 
b. at x = 0.42 cm 
c. at x = 0.35 cm 
d. at x = 46 cm 
 
3. A proton (q = e, mp = 1.67 x 10-27kg) is accelerated from rest through a potential 
difference of 1.0 MV. What is the final speed? 
 
a. 1.4 x 107 m/s 
b. 1.4 x 104 m/s 
c. 3.5 x 1016 m/s 
d. 1.4 x 10-1 m/s 
 
4. An electron has a speed of 6.0 x 105 m/s as it passes point A on its way to point B. Its 
speed at B is 12 x 105 m\s. What is the potential difference between A and B, and which is 
at the higher potential? 
 
a. 0.17 V, B 
b. 4.1 V, B 
c. 3.1 V, B 
d. 3.1 x 10-10 V, B 
 
5. A straight wire 15 cm long, carrying a current of 6.0 A, is in a uniform field of 0.40 T. 
What is the force on the wire when it is (a) at right angles to the field and (b) at the 30° to 
the field? 
 
a. (a) 36 N (b) 0.36 N 
b. (a) 0.36 N (b) 0.18 N 
c. (a) 2.25 N (b) 0.16 N 
d. (a) 0 N (b) 0.72 N 
 
6. Two long parallel wires are 4 cm apart and carry currents of 2 A and 6 A in the same 
direction. Compute the force between the wires per meter of wire length. 
 
a. 6.0 x 10-7 N/m, attraction 
b. 6.0 x 10-5 N/m, attraction 
c. 2.5 x 10-6 N/m, attraction 
d. 6.0 x 10-5 N/m, repulsion7. A flat coil with radius 8.0 mm has 50 loops of wire. It is placed in a magnetic field B = 
0.30 T in such a way that the maximum flux goes through it. Later, it is rotated in 0.020 s 
to a position such that no flux goes through it. Find the average emf induced between the 
terminals of the coil. 
 
a. 0.15 V 
b. 15 mV 
c. 18.8 V 
d. 3.0 mV 
 
8. An electron is traveling horizontally east in Earth's magnetic field. What is the 
direction of the magnetic force on the particle? 
 
a. Up 
b. Down 
c. West 
d. Zero 
 
9. An ideal solenoid 50 cm long has 4000 loops wound on it. Compute B in its interior 
when a current of 0.25 A exists in the winding. 
 
a. 10.0 mT 
b. 2.5 mT 
c. 2.5 x 10-5 T 
d. 0.63 mT 
 
 
Electronic Circuit Elements 
 
1. The potential difference between two large parallel metal plates is 120 V. The plate 
separation is 3.0 mm. Find the electric field between the plates. 
 
a. 40 V/m toward the negative plate 
b. 0.36 V/m toward the negative plate 
c. 40 kV/m toward the positive plate 
d. 40 kV/m toward negative plate 
 
2. What resistance must be placed in parallel with 20Ω to make the combined resistance 
15Ω? 
 
a. 8.57 ohm 
b. 60.0 ohm 
c. 0.0167 ohm 
d. 0.117 ohm 
 
3. A heater is labeled 1600 W/120 V. How much current does the heater draw from a 
120-V source? 
 
a. 13.3 A 
b. 0.075 A 
c. 192 kA 
d. 21 kA 
 
4. We desire to measure the current through and the voltage across a resistor connected in 
a circuit. How should an ammeter and a voltmeter be connected to the resistor? 
 
a. Both are connected in parallel with the resistor. 
b. Both are connected in series with the resistor. 
c. The ammeter is connected in series and the voltmeter is connected in parallel with 
the resistor. 
d. The ammeter is connected in parallel and the voltmeter is connected in series with 
the resistor. 
 
5. What is the current through an 8.0-Ω toaster when it is operating on 120 V? 
 
a. 15 A 
b. 960 A 
c. 0.067 A 
d. 1800 A 
 
6. Three resistors, of 8.0 Ω, 12 Ω, and 24 Ω, are in parallel, and a current of 20 A is 
drawn by the combination. Determine (a) the potential difference across the combination 
and (b) the current through each resistance. 
 
a. (a) 5.0 V (b) 160 A, 240 A, 480 A 
b. (a) 4.0 V (b) 0.1 A, 0.15 A, 0.3 A 
c. (a) 0.45 V (b) 640 A, 960 A, 1920 A 
d. (a) 80 V (b) 10 A, 6.7 A, 3.3 A 
 
7. A capacitor with air between its plates has capacitance of 3.0µF. What is its 
capacitance when wax of dielectric constant 2.8 is placed between the plates? 
 
a. 0.93 µF 
b. 1.1 µF 
c. 25.2 µF 
d. 8.4 µF 
 
8. A coil has resistance of 20 Ω and inductance of 0.35 H. Compute its reactance and its 
impedance to an alternating current of 25 cycles/s. 
 
a. 55Ω, b) 59 Ω 
b. 2.2Ω, b) 75 Ω 
c. 157Ω, b) 3425 Ω 
d. 0.018Ω, b) 51 Ω 
 
 
Light and Geometrical Optics 
 
1. A double-slit experiment is done in the usual way with 480-nm light and narrow slits 
that are 0.050 cm apart. At what angle to the straight-through beam will one observe (a) 
the third-order bright spot and (b) the second minimum from the central maximum? 
 
a. (a) 0.17° (b) 0.083° 
b. (a) 0.0017° (b) 0.00083° 
c. (a) 0.055° (b) 0.165° 
d. (a) 2.88° (b) 0.170° 
 
2. Red light of wavelength 644 nm, from a point source, passes through two parallel and 
narrow slits which are 1.00 mm apart. Determine the distance between the central bright 
fringe and the third dark interference fringe formed on a screen parallel to the plane of the 
slits and 1.00 m away. 
 
a. 1.61 mm 
b. 1.93 mm 
c. 1.61 µm 
d. 2.25 mm 
 
3. A single slit of width 0.140 mm is illuminated by monochromatic light, and diffraction 
bands are observed on a screen 2.00 m away. If the second dark band is 16.0 mm from 
the central bright band, what is the wavelength of the light? 
 
a. 560 nm 
b. 56 nm 
c. 55 mm 
d. 1.12 µm 
 
4. Which of the following effects could not be observed for sound waves in air? 
 
a. interference 
b. refraction 
c. polarization 
d. diffraction