56 worked answers · short steps first, explanations when you need them
Chapter Prompts, Activities, and Review Questions
Textbook pages 185–205
Question Think It Over 1
Can astronauts in space hear each other or metal clanking directly?
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No. Space is nearly a vacuum, and sound needs a material medium. Astronauts communicate using radios in their spacesuits.
Answer
No. Space is nearly a vacuum, and sound needs a material medium. Astronauts communicate using radios in their spacesuits.
Question Think It Over 2
How do bats find prey in the dark?
Steps only
Most bats send out ultrasonic sounds. The echoes bounce off prey and obstacles. By sensing the returning echoes, a bat can locate them.
Answer
Most bats send out ultrasonic sounds. The echoes bounce off prey and obstacles. By sensing the returning echoes, a bat can locate them.
Question Activity 10.1
What does the rubber-band activity show about sound?
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The plucked rubber band vibrates and makes sound. When its vibration stops, the sound stops. Changing the band’s tension can change the sound.
Answer
The plucked rubber band vibrates and makes sound. When its vibration stops, the sound stops. Changing the band’s tension can change the sound.
Question Pause and Ponder 1
Name different ways to produce sound.
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Examples: pluck a string, strike a drum, blow across a flute, clap hands, ring a bell, or speak. In each case, a part vibrates to produce sound.
Answer
Examples: pluck a string, strike a drum, blow across a flute, clap hands, ring a bell, or speak. In each case, a part vibrates to produce sound.
Question Pause and Ponder 2
Give examples of instruments and the parts that vibrate to make sound.
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Guitar: strings; tabla: stretched membrane; flute: air column; bell: metal body; harmonium: reeds and air. Other answers are possible.
Answer
Guitar: strings; tabla: stretched membrane; flute: air column; bell: metal body; harmonium: reeds and air. Other answers are possible.
Question Activity 10.2
What do you observe when a vibrating tuning fork is brought near your ear and touched to water?
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The fork makes a tone, and its vibrating prong makes ripples when it touches water. This shows that the prongs are vibrating and producing sound.
Answer
The fork makes a tone, and its vibrating prong makes ripples when it touches water. This shows that the prongs are vibrating and producing sound.
Question Activity 10.3
What does listening with your ear against a desk show?
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You can hear a knock travelling through the desk. Sound can travel through solids.
Answer
You can hear a knock travelling through the desk. Sound can travel through solids.
Question Activity 10.4
What does tapping submerged spoons show?
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You can hear the sound through the water, so sound can travel through liquids too.
Answer
You can hear the sound through the water, so sound can travel through liquids too.
Question Pause and Ponder 3
Assertion: a bell becomes difficult to hear after air is pumped from a jar. Reason: sound needs a medium. Select the correct relation.
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Option (ii): both are true, and the reason explains the assertion. As the air is removed, fewer particles carry the sound vibrations.
Answer
Option (ii): both are true, and the reason explains the assertion. As the air is removed, fewer particles carry the sound vibrations.
Question Activity 10.5
What happens to a marked turn of a slinky as a pulse travels along it?
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The close and spread-out regions travel along the slinky, but the marked turn only moves back and forth near its starting place. A wave carries a disturbance and energy; the medium’s particles do not travel along with it.
Answer
The close and spread-out regions travel along the slinky, but the marked turn only moves back and forth near its starting place. A wave carries a disturbance and energy; the medium’s particles do not travel along with it.
Question Sound model
What are compression and rarefaction in a sound wave?
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A compression is a region where medium particles are crowded and density is high. A rarefaction is a region where they are spread out and density is low. They travel through the medium in alternating order.
Answer
A compression is a region where medium particles are crowded and density is high. A rarefaction is a region where they are spread out and density is low. They travel through the medium in alternating order.
Question Pause and Ponder 4
Assertion: compressions and rarefactions move through a medium. Reason: the medium’s particles continuously travel forward with the wave. Choose the correct option.
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Option (iii): the assertion is true, but the reason is false. The disturbance moves forward; each particle only vibrates back and forth about its position.
Answer
Option (iii): the assertion is true, but the reason is false. The disturbance moves forward; each particle only vibrates back and forth about its position.
Question Activity 10.6
Why do grains on a stretched sheet move when a loud sound is made nearby?
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The sound wave makes the sheet vibrate. The moving sheet gives energy to the grains and makes them jump. Sound transfers energy through the air.
Answer
The sound wave makes the sheet vibrate. The moving sheet gives energy to the grains and makes them jump. Sound transfers energy through the air.
Question Pause and Ponder 5
When sound travels from a tuning fork to your ear, what reaches your ear?
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Option (ii): energy carried by sound waves reaches the ear. The air near the fork does not travel all the way to the ear.
Answer
Option (ii): energy carried by sound waves reaches the ear. The air near the fork does not travel all the way to the ear.
Question Pause and Ponder 6
How should compression and rarefaction be labelled on density graphs, and what axes should the matching graphs use?
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Mark each density maximum as compression (C) and each minimum as rarefaction (R). For the matching graphs, label the horizontal axis distance and the vertical axis density; draw a repeating curve with C at peaks and R at troughs.
Answer
Mark each density maximum as compression (C) and each minimum as rarefaction (R). For the matching graphs, label the horizontal axis distance and the vertical axis density; draw a repeating curve with C at peaks and R at troughs.
Question Activity 10.7
What pattern should be seen in the frequencies of musical notes Sa, Re, Ga, Ma, Pa, Dha, Ni, Sa?
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The frequency generally increases as the scale goes from the first Sa to the higher notes. Each note has its own frequency. Actual measured values depend on the singer, instrument, and tuning.
Answer
The frequency generally increases as the scale goes from the first Sa to the higher notes. Each note has its own frequency. Actual measured values depend on the singer, instrument, and tuning.
Question Example 10.1
A sound makes 10 density oscillations in 2 s. Find frequency and time period.
Steps only
Frequency f = oscillations/time = 10/2 = 5 Hz. Time period T = 1/f = 1/5 = 0.2 s.
Answer
Frequency f = oscillations/time = 10/2 = 5 Hz. Time period T = 1/f = 1/5 = 0.2 s.
Question Pause and Ponder 7
Does a thin rubber band vibrate faster than a thick one? How do frequency and period compare?
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Usually, the thinner band vibrates faster when plucked similarly. Faster vibration means greater frequency and a shorter time period. The exact result also depends on length and tension.
Answer
Usually, the thinner band vibrates faster when plucked similarly. Faster vibration means greater frequency and a shorter time period. The exact result also depends on length and tension.
Question Pause and Ponder 8
A piston oscillates at 20 Hz. How many oscillations does it complete in one minute?
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There are 20 oscillations each second. In 60 seconds: 20 × 60 = 1,200 oscillations.
Answer
There are 20 oscillations each second. In 60 seconds: 20 × 60 = 1,200 oscillations.
Question Pause and Ponder 9
For the sound wave represented by the graph in Fig. 10.19, what is half of its wavelength?
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Wavelength = 3.0 cm. Half wavelength = 3.0 ÷ 2 = 1.5 cm.
Answer
Half the wavelength is 1.5 cm.
Question Sound intensity
How are amplitude and energy related in a sound wave?
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A larger amplitude means larger changes in the medium’s density and more energy carried by the wave. Intensity is energy passing through a unit area per unit time.
Answer
A larger amplitude means larger changes in the medium’s density and more energy carried by the wave. Intensity is energy passing through a unit area per unit time.
Question Example 10.2
Find wavelengths at 20 Hz and 20,000 Hz when sound speed is 344 m/s.
Steps only
Use λ = v/f. At 20 Hz: 344/20 = 17.2 m. At 20,000 Hz: 344/20,000 = 0.0172 m = 1.72 cm.
Answer
Use λ = v/f. At 20 Hz: 344/20 = 17.2 m. At 20,000 Hz: 344/20,000 = 0.0172 m = 1.72 cm.
Question Example 10.3
Thunder is heard 5 s after lightning. Estimate the distance if sound travels at 340 m/s.
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Distance = speed × time = 340 × 5 = 1,700 m, or about 1.7 km. Light arrives so quickly that its travel time can be ignored here.
Answer
Distance = speed × time = 340 × 5 = 1,700 m, or about 1.7 km. Light arrives so quickly that its travel time can be ignored here.
Question Example 10.4
A sound wave in steel has wavelength 50 m. If sound speed is 5,000 m/s, find frequency and time period.
Steps only
Frequency f = v/λ = 5,000/50 = 100 Hz. Time period T = 1/f = 0.01 s.
Answer
Frequency f = v/λ = 5,000/50 = 100 Hz. Time period T = 1/f = 0.01 s.
Question Pause and Ponder 10
Sound speeds are 1,500 m/s in water, 340 m/s in air, and 5,000 m/s in steel. Find water:air and steel:water speed ratios.
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Water to air = 1,500/340 ≈ 4.41, so about 4.4:1. Steel to water = 5,000/1,500 ≈ 3.33, so about 3.3:1.
Answer
Water to air = 1,500/340 ≈ 4.41, so about 4.4:1. Steel to water = 5,000/1,500 ≈ 3.33, so about 3.3:1.
Question Pause and Ponder 11
Two friends are 340 m apart along a steel fence. One knocks it. Compare arrival times through steel and air. Can the two sounds be distinguished?
Steps only
Through steel: t = 340/5,000 = 0.068 s. Through air: t = 340/340 = 1.0 s. Difference ≈ 0.932 s, which is more than 0.1 s, so the sounds can be heard separately (if conditions are suitable).
Answer
Through steel: t = 340/5,000 = 0.068 s. Through air: t = 340/340 = 1.0 s. Difference ≈ 0.932 s, which is more than 0.1 s, so the sounds can be heard separately (if conditions are suitable).
Question What if
What would happen if sound speed in air depended on frequency? Would music with instruments still sound pleasant?
Steps only
Different notes would travel at different speeds and arrive at different times. The timing and harmony could become distorted, so music might sound less well coordinated.
Answer
Different notes would travel at different speeds and arrive at different times. The timing and harmony could become distorted, so music might sound less well coordinated.
Question Activity 10.8
What should you notice as a generated tone is raised from 100 Hz toward 1,000 Hz and then lowered toward 20 Hz?
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As frequency rises, the tone sounds higher in pitch. As it falls, the pitch becomes lower. Some listeners may stop hearing it near the lower end; hearing range varies from person to person.
Answer
As frequency rises, the tone sounds higher in pitch. As it falls, the pitch becomes lower. Some listeners may stop hearing it near the lower end; hearing range varies from person to person.
Question Echo
What is an echo and how far away must a wall be for a distinct echo at 340 m/s?
Steps only
An echo is reflected sound heard separately from the original. A 0.1 s delay is needed: sound travels 340 × 0.1 = 34 m round trip, so the reflector must be at least 17 m away.
Answer
An echo is reflected sound heard separately from the original. A 0.1 s delay is needed: sound travels 340 × 0.1 = 34 m round trip, so the reflector must be at least 17 m away.
Question Example 10.5
You hear an echo 0.5 s after clapping. Find your distance from the wall if sound speed is 340 m/s.
Steps only
The sound travels to the wall and back. Distance = vt/2 = 340 × 0.5/2 = 85 m.
Answer
The sound travels to the wall and back. Distance = vt/2 = 340 × 0.5/2 = 85 m.
Question Pause and Ponder 12
How far away must a reflecting surface be for an echo after at least 0.2 s? Use speed 343 m/s.
Steps only
The sound travels both ways, so distance = vt/2 = 343 × 0.2/2 = 34.3 m.
Answer
The sound travels both ways, so distance = vt/2 = 343 × 0.2/2 = 34.3 m.
Question Pause and Ponder 13
A sonar echo returns after 4 s. Find ocean depth if sound travels in seawater at 1,500 m/s.
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The 4 s is the round-trip time. Depth = speed × time/2 = 1,500 × 4/2 = 3,000 m.
Answer
The 4 s is the round-trip time. Depth = speed × time/2 = 1,500 × 4/2 = 3,000 m.
Question What if
What could be useful or difficult if humans could hear ultrasound?
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It might help us notice some high-frequency signals used by devices or animals. It could also add high-pitched noise and make quiet environments less comfortable. The effect would depend on which sounds we could detect.
Answer
It might help us notice some high-frequency signals used by devices or animals. It could also add high-pitched noise and make quiet environments less comfortable. The effect would depend on which sounds we could detect.
Question Project
What should a short report on earphone use and hearing include?
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Loud sound or long listening can harm hearing. Keep earphone volume low, take breaks, and explain that hearing tests check how well a person hears different pitches.
Answer
Loud sound or long listening can harm hearing. Keep earphone volume low and take breaks.
Question Project
Suggest a simple investigation about sound in different media.
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Use a safe sound source and compare how clearly it is heard through air and through a solid surface or water. Keep source, distance, and loudness similar. Record observations and explain that sound needs a medium.
Answer
Use a safe sound source and compare how clearly it is heard through air and through a solid surface or water. Keep source, distance, and loudness similar. Record observations and explain that sound needs a medium.
Question Project
What could you investigate with a sound-wave simulation?
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Change frequency and amplitude separately. Observe that higher frequency means closer-spaced wave features and higher pitch, while larger amplitude means a stronger wave and greater loudness/energy.
Answer
Change frequency and amplitude separately. Observe that higher frequency means closer-spaced wave features and higher pitch, while larger amplitude means a stronger wave and greater loudness/energy.
Question 1
Which observation best supports that sound is a mechanical wave? (i) reflection (ii) needs a medium (iii) has frequency (iv) carries energy.
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Option (ii): sound needs a material medium.
Answer
Option (ii): sound needs a material medium.
Question 2
For a sound wave in a given medium, increasing frequency increases what?
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Option (iii): more compressions pass each second.
Answer
Option (iii): more compressions pass each second.
Question 3
Twenty compressions pass a point in 4 s. What is the frequency?
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20 ÷ 4 = 5 Hz. Option (ii).
Answer
20 ÷ 4 = 5 Hz. Option (ii).
Question 4
A reflected sound reaches the ear 0.05 s after the original. Is it an echo or reverberation?
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Reverberation; 0.05 s is less than the 0.1 s needed to hear a separate echo.
Answer
Reverberation; 0.05 s is less than the 0.1 s needed to hear a separate echo.
Question 5
Two wave graphs use the same axis scales. How do you identify which has greater wavelength and smaller amplitude?
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Greater wavelength: wider spacing between matching points. Smaller amplitude: smaller height from the average line.
Answer
Greater wavelength: wider spacing between matching points. Smaller amplitude: smaller height from the average line.
Question 6
Three sound curves A, B, and C are shown. A has maximum frequency and C minimum. How should they be labelled?
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A has the most cycles, C the fewest, and B the remaining curve.
Answer
A has the most cycles, C the fewest, and B the remaining curve.
Question 7
Draw a sound-wave graph with density amplitude 3 units and wavelength 4 cm.
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Draw a wave with amplitude 3 units and wavelength 4 cm; label distance and density change.
Answer
Draw a wave with amplitude 3 units and wavelength 4 cm; label distance and density change.
Question 8
A movie shows an explosion in space with light and sound arriving together. What is wrong?
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The flash can be seen, but sound cannot travel through the vacuum of space.
Answer
The flash can be seen, but sound cannot travel through the vacuum of space.
Question 9
A sound has wavelength 3.44 m and speed 344 m/s. Find its time period.
Steps only
T = λ/v = 3.44/344 = 0.01 s.
Answer
T = λ/v = 3.44/344 = 0.01 s.
Question 10
A ship receives a sonar echo after 5 s. Find wreck depth if sound speed is 1,525 m/s.
A 40 kHz parking sensor is 1.2 m from an obstacle. How long does the sound take to go there and back at 345 m/s?
Steps only
t = 2 × 1.2 ÷ 345 ≈ 0.00696 s = 6.96 ms.
Answer
t = 2 × 1.2 ÷ 345 ≈ 0.00696 s = 6.96 ms.
Question 12
How much longer does thunder take to travel 1,720 m at 0°C (331 m/s) than at 22°C (344 m/s)?
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Extra time = 1720/331 − 1720/344 ≈ 0.20 s.
Answer
Extra time = 1720/331 − 1720/344 ≈ 0.20 s.
Question 13
A sound wave travels at 340 m/s. Figure 10.32 shows its density pattern. Find its wavelength and frequency.
Steps only
Wavelength = 4 cm; frequency = 8,500 Hz.
Answer
Wavelength = 4 cm; frequency = 8,500 Hz.
Question 14
Two waves A and B in Fig. 10.33 travel at 345 m/s. Read each wavelength from the graph and calculate its frequency.
Steps only
Wave A: λ=2.5 cm, f=13,800 Hz. Wave B: λ=5 cm, f=6,900 Hz.
Answer
Wave A: λ=2.5 cm, f=13,800 Hz. Wave B: λ=5 cm, f=6,900 Hz.
Question 15
Two sounds travel the same distance to a cliff and back. The return time in air is 4.5 times the return time in water. Find speed ratio air:water.
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v_air : v_water = 1 : 4.5.
Answer
v_air : v_water = 1 : 4.5.
Question Journey Beyond 1
Research earphone use and hearing. How should the findings be presented?
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Write an article using up-to-date health and government sources. Include what research says about loudness and listening time, how hearing is tested (for example, an audiogram), the standard ranges used to describe hearing loss, and current support schemes for hearing aids or cochlear implants. Cite sources and note when they were checked.
Answer
Write an article using up-to-date health and government sources. Include what research says about loudness and listening time, how hearing is tested (for example, an audiogram), the standard ranges used to describe hearing loss, and current support schemes for hearing aids or cochlear implants. Cite sources and note when they were checked.
Question Journey Beyond 2
What can you test by covering a music-playing phone with a paper or cardboard cone?
Steps only
Compare the sound with and without the cone, keeping phone volume and listening position the same. If available, measure sound characteristics with an app. Repeat using different cone shapes, record observations, and follow teacher guidance.
Answer
Compare the sound with and without the cone, keeping phone volume and listening position the same. If available, measure sound characteristics with an app. Repeat using different cone shapes, record observations, and follow teacher guidance.
Question Journey Beyond 3
How can curved ceilings and walls behind a stage improve sound for an audience?
Steps only
Curved surfaces can reflect sound toward different audience areas, helping distribute it. A good hall balances these reflections with sound-absorbing materials so sound stays clear and does not echo excessively.
Answer
Curved surfaces can reflect sound toward different audience areas, helping distribute it. A good hall balances these reflections with sound-absorbing materials so sound stays clear and does not echo excessively.
Question Journey Beyond 4
How can students estimate sound speed over a large open ground using a balloon pop?
Steps only
Stand a measured distance apart (about 200 m or more). One student pops a balloon; the other starts timing when the flash is seen and stops when the sound is heard. Repeat and average the times. Estimate speed = distance ÷ average time. Light travel time is tiny compared with sound travel time. Do this with teacher supervision and eye/ear safety.
Answer
Stand a measured distance apart (about 200 m or more). One student pops a balloon; the other starts timing when the flash is seen and stops when the sound is heard. Repeat and average the times. Estimate speed = distance ÷ average time. Light travel time is tiny compared with sound travel time. Do this with teacher supervision and eye/ear safety.
Question Journey Beyond 5
How can you investigate how temperature or humidity affects sound speed?
Steps only
Use a sound-wave simulation or a teacher-guided experiment. Change one condition at a time, keep the medium and other settings fixed, record the speed, and compare results. State the source and conditions because sound speed depends on the medium and its state.
Answer
Use a sound-wave simulation or a teacher-guided experiment. Change one condition at a time, keep the medium and other settings fixed, record the speed, and compare results. State the source and conditions because sound speed depends on the medium and its state.