This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For light waves: Brightness of light is determined by the amplitude of electromagnetic waves: bright light (large amplitude EM waves) has more energy than dim light (small amplitude)—this is observable because bright light bulbs use more electrical power than dim bulbs (100 W bright bulb vs 10 W dim bulb: 10× more power creates much brighter light with larger amplitude waves), and bright light can warm objects noticeably (energy absorbed) while dim light barely warms them (less energy). The amplitude-brightness-energy connection explains why intense lasers (very high amplitude focused light) can cut through materials (delivering so much energy per area), while dim flashlight can't (lower amplitude, much less energy). Choice B is correct because it accurately states larger amplitude waves have more energy / correctly compares energy based on amplitude: large amplitude more energetic than small / properly explains that amplitude relates to energy through particle displacement or observable effects / appropriately uses evidence showing amplitude-energy connection: loudness requires power, tall waves impact powerfully. Choice A reverses the relationship: claims larger amplitude has less energy, when actually larger amplitude always means more energy (loud is more energetic than quiet, tall waves more than ripples). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For water waves: A tall water wave (large amplitude, like 2 m high ocean wave) carries much more energy than a small ripple (tiny amplitude, like 0.05 m ripple)—you can feel the difference: the large wave can knock you over, push you backward, or move heavy objects (delivering its energy to you or objects, doing work), while the ripple barely rocks a boat and doesn't move you at all (has little energy to transfer). The amplitude directly indicates how energetic the wave is: taller waves are created by stronger winds or disturbances (energy input creates the wave), and they deliver more energy when they hit shore or objects (energy output from wave to environment). Choice C is correct because it accurately states larger amplitude waves have more energy / correctly compares energy based on amplitude: large amplitude more energetic than small / properly explains that amplitude relates to energy through particle displacement or observable effects / appropriately uses evidence showing amplitude-energy connection: loudness requires power, tall waves impact powerfully. Choice A reverses the relationship: claims larger amplitude has less energy, when actually larger amplitude always means more energy (loud is more energetic than quiet, tall waves more than ripples). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For water waves: A tall water wave (large amplitude, like 2 m high ocean wave) carries much more energy than a small ripple (tiny amplitude, like 0.05 m ripple)—you can feel the difference: the large wave can knock you over, push you backward, or move heavy objects (delivering its energy to you or objects, doing work), while the ripple barely rocks a boat and doesn't move you at all (has little energy to transfer). The amplitude directly indicates how energetic the wave is: taller waves are created by stronger winds or disturbances (energy input creates the wave), and they deliver more energy when they hit shore or objects (energy output from wave to environment). Choice A is correct because it accurately states larger amplitude waves have more energy / correctly compares energy based on amplitude: large amplitude more energetic than small / properly explains that amplitude relates to energy through particle displacement or observable effects / appropriately uses evidence showing amplitude-energy connection: loudness requires power, tall waves impact powerfully. Choice B uses wavelength instead of amplitude to determine energy, when wavelength relates to frequency/energy differently (for photons E ∝ f, but for classical waves at same frequency, E ∝ A²). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For sound waves: Amplitude of a sound wave determines its loudness (volume): large amplitude sound waves are loud (high volume) and carry more energy—this is why powerful speakers use more electrical energy to produce loud music (more energy input needed to create large amplitude sound waves), and why loud sounds can damage hearing (too much energy delivered to ear structures can cause damage). A quiet sound (small amplitude) barely moves your eardrum (low energy), while a very loud sound (large amplitude) strongly vibrates the eardrum (high energy delivered, can be harmful above ~85 decibels). The louder-requires-more-power observation is direct evidence that amplitude relates to energy. Choice C is correct because it accurately states larger amplitude waves have more energy / correctly compares energy based on amplitude: large amplitude more energetic than small / properly explains that amplitude relates to energy through particle displacement or observable effects / appropriately uses evidence showing amplitude-energy connection: loudness requires power, tall waves impact powerfully. Choice A reverses the relationship: claims larger amplitude has less energy, when actually larger amplitude always means more energy (loud is more energetic than quiet, tall waves more than ripples). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For water waves: A tall water wave (large amplitude, like 2 m high ocean wave) carries much more energy than a small ripple (tiny amplitude, like 0.05 m ripple)—you can feel the difference: the large wave can knock you over, push you backward, or move heavy objects (delivering its energy to you or objects, doing work), while the ripple barely rocks a boat and doesn't move you at all (has little energy to transfer). The amplitude directly indicates how energetic the wave is: taller waves are created by stronger winds or disturbances (energy input creates the wave), and they deliver more energy when they hit shore or objects (energy output from wave to environment). Choice B is correct because it accurately states larger amplitude waves have more energy / correctly compares energy based on amplitude: large amplitude more energetic than small / properly explains that amplitude relates to energy through particle displacement or observable effects / appropriately uses evidence showing amplitude-energy connection: loudness requires power, tall waves impact powerfully. Choice A reverses the relationship: claims larger amplitude has less energy, when actually larger amplitude always means more energy (loud is more energetic than quiet, tall waves more than ripples). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For water waves: A tall water wave (large amplitude, like 2 m high ocean wave) carries much more energy than a small ripple (tiny amplitude, like 0.05 m ripple)—you can feel the difference: the large wave can knock you over, push you backward, or move heavy objects (delivering its energy to you or objects, doing work), while the ripple barely rocks a boat and doesn't move you at all (has little energy to transfer). The amplitude directly indicates how energetic the wave is: taller waves are created by stronger winds or disturbances (energy input creates the wave), and they deliver more energy when they hit shore or objects (energy output from wave to environment). Choice A is correct because it accurately states larger amplitude waves have more energy and can do more work on objects. Choice B reverses the relationship: claims smaller amplitude has more energy, when actually larger amplitude always means more energy (tall waves more than ripples). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large, (3) earthquakes: Richter scale is logarithmic in amplitude—each magnitude increase means ~10× amplitude and ~32× energy (magnitude 5 vs magnitude 6: 6 has 10× larger amplitude and 32× more energy), (4) light: dim LED (small amplitude, milliwatts) vs bright spotlight (large amplitude, hundreds of watts)—all demonstrate that amplitude indicates wave energy: want to transfer a lot of energy with waves? use large amplitude; want gentle low-energy waves? use small amplitude. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For sound waves: Amplitude of a sound wave determines its loudness (volume): large amplitude sound waves are loud (high volume) and carry more energy—this is why powerful speakers use more electrical energy to produce loud music (more energy input needed to create large amplitude sound waves), and why loud sounds can damage hearing (too much energy delivered to ear structures can cause damage). A quiet sound (small amplitude) barely moves your eardrum (low energy), while a very loud sound (large amplitude) strongly vibrates the eardrum (high energy delivered, can be harmful above ~85 decibels). The louder-requires-more-power observation is direct evidence that amplitude relates to energy. Choice B is correct because it appropriately uses evidence showing amplitude-energy connection: loudness requires power, indicating more energy for larger amplitude. Choice D is wrong because it confuses amplitude with frequency: claims wavelength changes with volume, but wavelength relates to frequency and speed, not amplitude. The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large, (3) earthquakes: Richter scale is logarithmic in amplitude—each magnitude increase means ~10× amplitude and ~32× energy (magnitude 5 vs magnitude 6: 6 has 10× larger amplitude and 32× more energy), (4) light: dim LED (small amplitude, milliwatts) vs bright spotlight (large amplitude, hundreds of watts)—all demonstrate that amplitude indicates wave energy: want to transfer a lot of energy with waves? use large amplitude; want gentle low-energy waves? use small amplitude. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For water waves: A tall water wave (large amplitude, like 2 m high ocean wave) carries much more energy than a small ripple (tiny amplitude, like 0.05 m ripple)—you can feel the difference: the large wave can knock you over, push you backward, or move heavy objects (delivering its energy to you or objects, doing work), while the ripple barely rocks a boat and doesn't move you at all (has little energy to transfer). The amplitude directly indicates how energetic the wave is: taller waves are created by stronger winds or disturbances (energy input creates the wave), and they deliver more energy when they hit shore or objects (energy output from wave to environment). Choice A is correct because it accurately states larger amplitude waves have more energy / correctly compares energy based on amplitude: large amplitude more energetic than small / properly explains that amplitude relates to energy through particle displacement or observable effects / appropriately uses evidence showing amplitude-energy connection: loudness requires power, tall waves impact powerfully. Choice B uses wavelength instead of amplitude to determine energy, when wavelength relates to frequency/energy differently (for photons E ∝ f, but for classical waves at same frequency, E ∝ A²). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For sound waves: Amplitude of a sound wave determines its loudness (volume): large amplitude sound waves are loud (high volume) and carry more energy—this is why powerful speakers use more electrical energy to produce loud music (more energy input needed to create large amplitude sound waves), and why loud sounds can damage hearing (too much energy delivered to ear structures can cause damage). A quiet sound (small amplitude) barely moves your eardrum (low energy), while a very loud sound (large amplitude) strongly vibrates the eardrum (high energy delivered, can be harmful above ~85 decibels). The louder-requires-more-power observation is direct evidence that amplitude relates to energy. Choice A is correct because it accurately states larger amplitude waves have more energy / correctly compares energy based on amplitude: large amplitude more energetic than small / properly explains that amplitude relates to energy through particle displacement or observable effects / appropriately uses evidence showing amplitude-energy connection: loudness requires power, tall waves impact powerfully. Choice C suggests amplitude is unrelated to energy, when amplitude is primary indicator of wave energy (besides frequency). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).

This question tests understanding that wave amplitude is related to wave energy—specifically, that larger amplitude waves carry more energy than smaller amplitude waves. Wave amplitude measures how much the medium is displaced from equilibrium as the wave passes, and this displacement directly relates to energy: when a wave has large amplitude (like a tall water wave with A = 2 m, or loud sound with large pressure variations), the particles in the medium are displaced farther from rest and move faster, meaning they have more kinetic and potential energy, which sums to more total energy in the wave. When amplitude is small (tiny ripple with A = 0.05 m, or quiet whisper), particles barely move from equilibrium, having little energy, so the wave carries little total energy. The relationship is approximately E ∝ A² (energy proportional to amplitude squared), though at middle school level the key insight is: bigger amplitude = much more energy. For sound waves: Amplitude of a sound wave determines its loudness (volume): large amplitude sound waves are loud (high volume) and carry more energy—this is why powerful speakers use more electrical energy to produce loud music (more energy input needed to create large amplitude sound waves), and why loud sounds can damage hearing (too much energy delivered to ear structures can cause damage). A quiet sound (small amplitude) barely moves your eardrum (low energy), while a very loud sound (large amplitude) strongly vibrates the eardrum (high energy delivered, can be harmful above ~85 decibels). The louder-requires-more-power observation is direct evidence that amplitude relates to energy. Choice A is correct because it accurately states larger amplitude waves have more energy / correctly compares energy based on amplitude: large amplitude more energetic than small / properly explains that amplitude relates to energy through particle displacement or observable effects / appropriately uses evidence showing amplitude-energy connection: loudness requires power, tall waves impact powerfully. Choice B suggests amplitude is unrelated to energy, when amplitude is primary indicator of wave energy (besides frequency). The amplitude-energy connection appears throughout wave phenomena: (1) sound: whisper (A tiny, barely displaces air particles, <1 milliwatt energy) vs shout (A large, strongly displaces air, ~10 milliwatts energy) vs jet engine (A very large, >10 watts energy)—each 10× amplitude increase means roughly 100× energy increase if squared relationship, (2) water: calm lake ripples (A ≈ 1 cm, little energy) vs ocean swells (A ≈ 1 m, moderate energy) vs tsunami (A ≈ 10 m, enormous energy) can devastate coasts because amplitude so large. This relationship is why volume controls on speakers adjust amplitude (turning up volume increases amplitude, requires more power, delivers more energy to your ears), why dimmer switches adjust light amplitude (lower setting reduces amplitude, reduces energy output, saves electricity), and why seismologists measure amplitude to determine earthquake energy (seismograph trace amplitude directly indicates how much energy was released in the quake).