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Sagot :
Based on the observations recorded by Levi:
1. Wave [tex]\( W \)[/tex] travels fastest through metal.
2. Wave [tex]\( X \)[/tex] travels fastest through air.
3. Wave [tex]\( Y \)[/tex] travels more slowly through water than through air.
We can evaluate the given statements by comparing the properties of light waves and sound waves:
- Light waves:
- Generally travel fastest in less dense mediums (e.g., fastest in air, slower in water, and even slower in metal).
- Sound waves:
- Travel fastest in denser mediums (e.g., fastest in solids like metal, slower in liquids like water, and slowest in gases like air).
Given these principles:
1. Wave [tex]\( W \)[/tex]:
- Since it travels fastest through metal, it is likely a light wave as light travels fastest in denser mediums.
2. Wave [tex]\( X \)[/tex]:
- Since it travels fastest through air, it suggests it is a sound wave as sound travels fastest in gases compared to liquids and solids.
3. Wave [tex]\( Y \)[/tex]:
- Since it travels more slowly through water than through air, it suggests it is a sound wave, as sound travels slower in liquids compared to gases.
Now, we evaluate the statements one by one:
1. Wave [tex]\( W \)[/tex] and [tex]\( Y \)[/tex] are light waves:
- Incorrect. Given the information, Wave [tex]\( Y \)[/tex] does not exhibit properties of a light wave.
2. Wave [tex]\( X \)[/tex] is a sound wave:
- Correct. Wave [tex]\( X \)[/tex] travels fastest through air, which is characteristic of a sound wave.
3. Wave [tex]\( W \)[/tex] is a light wave:
- Correct. Wave [tex]\( W \)[/tex] travels fastest through metal, indicating it is likely a light wave.
4. Waves [tex]\( X \)[/tex] and [tex]\( Y \)[/tex] are sound waves:
- Incorrect. Wave [tex]\( Y \)[/tex] is a sound wave, but Wave [tex]\( X \)[/tex] exhibits properties of a light wave.
5. Wave [tex]\( Y \)[/tex] is a sound wave:
- Correct. Wave [tex]\( Y \)[/tex] travels more slowly through water than through air, characteristic of a sound wave.
6. Waves [tex]\( X \)[/tex] and [tex]\( W \)[/tex] are light waves:
- Incorrect. Wave [tex]\( W \)[/tex] is a light wave, but Wave [tex]\( X \)[/tex] does not fit the properties of a light wave.
7. Wave [tex]\( W \)[/tex] is a sound wave:
- Incorrect. Wave [tex]\( W \)[/tex] travels fastest through metal, characteristic of a light wave.
8. Waves [tex]\( X \)[/tex] and [tex]\( Y \)[/tex] are light waves:
- Incorrect. Wave [tex]\( Y \)[/tex] does not exhibit the properties of a light wave.
Therefore, the statements best supported by the table are:
- Wave [tex]\( X \)[/tex] is a sound wave,
- Wave [tex]\( W \)[/tex] is a light wave, and
- Wave [tex]\( Y \)[/tex] is a sound wave.
Hence, the correct statements are:
1. Wave [tex]\( X \)[/tex] is a sound wave,
2. Wave [tex]\( W \)[/tex] is a light wave, and
3. Wave [tex]\( Y \)[/tex] is a sound wave.
1. Wave [tex]\( W \)[/tex] travels fastest through metal.
2. Wave [tex]\( X \)[/tex] travels fastest through air.
3. Wave [tex]\( Y \)[/tex] travels more slowly through water than through air.
We can evaluate the given statements by comparing the properties of light waves and sound waves:
- Light waves:
- Generally travel fastest in less dense mediums (e.g., fastest in air, slower in water, and even slower in metal).
- Sound waves:
- Travel fastest in denser mediums (e.g., fastest in solids like metal, slower in liquids like water, and slowest in gases like air).
Given these principles:
1. Wave [tex]\( W \)[/tex]:
- Since it travels fastest through metal, it is likely a light wave as light travels fastest in denser mediums.
2. Wave [tex]\( X \)[/tex]:
- Since it travels fastest through air, it suggests it is a sound wave as sound travels fastest in gases compared to liquids and solids.
3. Wave [tex]\( Y \)[/tex]:
- Since it travels more slowly through water than through air, it suggests it is a sound wave, as sound travels slower in liquids compared to gases.
Now, we evaluate the statements one by one:
1. Wave [tex]\( W \)[/tex] and [tex]\( Y \)[/tex] are light waves:
- Incorrect. Given the information, Wave [tex]\( Y \)[/tex] does not exhibit properties of a light wave.
2. Wave [tex]\( X \)[/tex] is a sound wave:
- Correct. Wave [tex]\( X \)[/tex] travels fastest through air, which is characteristic of a sound wave.
3. Wave [tex]\( W \)[/tex] is a light wave:
- Correct. Wave [tex]\( W \)[/tex] travels fastest through metal, indicating it is likely a light wave.
4. Waves [tex]\( X \)[/tex] and [tex]\( Y \)[/tex] are sound waves:
- Incorrect. Wave [tex]\( Y \)[/tex] is a sound wave, but Wave [tex]\( X \)[/tex] exhibits properties of a light wave.
5. Wave [tex]\( Y \)[/tex] is a sound wave:
- Correct. Wave [tex]\( Y \)[/tex] travels more slowly through water than through air, characteristic of a sound wave.
6. Waves [tex]\( X \)[/tex] and [tex]\( W \)[/tex] are light waves:
- Incorrect. Wave [tex]\( W \)[/tex] is a light wave, but Wave [tex]\( X \)[/tex] does not fit the properties of a light wave.
7. Wave [tex]\( W \)[/tex] is a sound wave:
- Incorrect. Wave [tex]\( W \)[/tex] travels fastest through metal, characteristic of a light wave.
8. Waves [tex]\( X \)[/tex] and [tex]\( Y \)[/tex] are light waves:
- Incorrect. Wave [tex]\( Y \)[/tex] does not exhibit the properties of a light wave.
Therefore, the statements best supported by the table are:
- Wave [tex]\( X \)[/tex] is a sound wave,
- Wave [tex]\( W \)[/tex] is a light wave, and
- Wave [tex]\( Y \)[/tex] is a sound wave.
Hence, the correct statements are:
1. Wave [tex]\( X \)[/tex] is a sound wave,
2. Wave [tex]\( W \)[/tex] is a light wave, and
3. Wave [tex]\( Y \)[/tex] is a sound wave.
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