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Sagot :
To determine which statement is best supported by the given observations in the table, let’s analyze each wave's characteristics step-by-step:
1. Wave [tex]$I$[/tex]:
- Observation: "Its motion is perpendicular to wave motion."
- Analysis: This is characteristic of a transverse wave, where the particle motion is perpendicular to the direction of the wave propagation.
2. Wave [tex]$X$[/tex]:
- Observation: "Its particles move up and down."
- Analysis: Movement of particles up and down could mean transverse wave (such as a wave on a string) or a longitudinal wave (such as sound waves in air) where the reference frame is different. Therefore, Wave [tex]$X$[/tex] could be either a transverse wave or a longitudinal wave.
3. Wave [tex]$Y$[/tex]:
- Observation: "Its particles only move small amounts."
- Analysis: This description is not specific enough to definitively classify the wave type. Thus, Wave [tex]$Y$[/tex] could also potentially be either a transverse wave or a longitudinal wave.
4. Wave [tex]$Z$[/tex]:
- Observation: "Its motion is parallel to wave motion."
- Analysis: This is characteristic of a longitudinal wave, where the particle motion is parallel to the direction of wave propagation (like sound waves).
Based on this analysis, we can deduce whether the given statements are true or false:
- Waves [tex]$W$[/tex] and [tex]$Y$[/tex] are transverse waves, Wave [tex]$X$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a longitudinal wave.
- Wave [tex]$I$[/tex] is the transverse wave.
- Wave [tex]$Y$[/tex] could be either transverse or longitudinal (it’s ambiguous).
- Wave [tex]$X$[/tex] could be either transverse or longitudinal.
- Wave [tex]$Z$[/tex] is longitudinal.
- Waves [tex]$W$[/tex] and [tex]$Y$[/tex] are longitudinal waves, Wave [tex]$X$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a transverse wave.
- Wave [tex]$I$[/tex] is transverse, not longitudinal.
- Wave [tex]$Y$[/tex] could be either, this is correct.
- Wave [tex]$X$[/tex] could be either, this is correct.
- Wave [tex]$Z$[/tex] is longitudinal, not transverse.
- Waves [tex]$W$[/tex] and [tex]$X$[/tex] are longitudinal waves, Wave [tex]$Y$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a transverse wave.
- Wave [tex]$I$[/tex] is transverse, not longitudinal.
- Wave [tex]$X$[/tex] could be either, this is correct.
- Wave [tex]$Y$[/tex] could be either, this is correct.
- Wave [tex]$Z$[/tex] is longitudinal, not transverse.
- Waves [tex]$W$[/tex] and [tex]$X$[/tex] are transverse waves, Wave [tex]$Y$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a longitudinal wave.
- Wave [tex]$I$[/tex] is transverse.
- Wave [tex]$X$[/tex] could be either, this is correct.
- Wave [tex]$Y$[/tex] could be either, this is correct.
- Wave [tex]$Z$[/tex] is longitudinal.
Thus, the best-supported statement by the table is:
Waves [tex]$W$[/tex] and [tex]$X$[/tex] are transverse waves, Wave [tex]$Y$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a longitudinal wave.
So, the correct choice is:
Waves [tex]$W$[/tex] and [tex]$X$[/tex] are transverse waves, Wave [tex]$Y$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a longitudinal wave.
The final result is 1.
1. Wave [tex]$I$[/tex]:
- Observation: "Its motion is perpendicular to wave motion."
- Analysis: This is characteristic of a transverse wave, where the particle motion is perpendicular to the direction of the wave propagation.
2. Wave [tex]$X$[/tex]:
- Observation: "Its particles move up and down."
- Analysis: Movement of particles up and down could mean transverse wave (such as a wave on a string) or a longitudinal wave (such as sound waves in air) where the reference frame is different. Therefore, Wave [tex]$X$[/tex] could be either a transverse wave or a longitudinal wave.
3. Wave [tex]$Y$[/tex]:
- Observation: "Its particles only move small amounts."
- Analysis: This description is not specific enough to definitively classify the wave type. Thus, Wave [tex]$Y$[/tex] could also potentially be either a transverse wave or a longitudinal wave.
4. Wave [tex]$Z$[/tex]:
- Observation: "Its motion is parallel to wave motion."
- Analysis: This is characteristic of a longitudinal wave, where the particle motion is parallel to the direction of wave propagation (like sound waves).
Based on this analysis, we can deduce whether the given statements are true or false:
- Waves [tex]$W$[/tex] and [tex]$Y$[/tex] are transverse waves, Wave [tex]$X$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a longitudinal wave.
- Wave [tex]$I$[/tex] is the transverse wave.
- Wave [tex]$Y$[/tex] could be either transverse or longitudinal (it’s ambiguous).
- Wave [tex]$X$[/tex] could be either transverse or longitudinal.
- Wave [tex]$Z$[/tex] is longitudinal.
- Waves [tex]$W$[/tex] and [tex]$Y$[/tex] are longitudinal waves, Wave [tex]$X$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a transverse wave.
- Wave [tex]$I$[/tex] is transverse, not longitudinal.
- Wave [tex]$Y$[/tex] could be either, this is correct.
- Wave [tex]$X$[/tex] could be either, this is correct.
- Wave [tex]$Z$[/tex] is longitudinal, not transverse.
- Waves [tex]$W$[/tex] and [tex]$X$[/tex] are longitudinal waves, Wave [tex]$Y$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a transverse wave.
- Wave [tex]$I$[/tex] is transverse, not longitudinal.
- Wave [tex]$X$[/tex] could be either, this is correct.
- Wave [tex]$Y$[/tex] could be either, this is correct.
- Wave [tex]$Z$[/tex] is longitudinal, not transverse.
- Waves [tex]$W$[/tex] and [tex]$X$[/tex] are transverse waves, Wave [tex]$Y$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a longitudinal wave.
- Wave [tex]$I$[/tex] is transverse.
- Wave [tex]$X$[/tex] could be either, this is correct.
- Wave [tex]$Y$[/tex] could be either, this is correct.
- Wave [tex]$Z$[/tex] is longitudinal.
Thus, the best-supported statement by the table is:
Waves [tex]$W$[/tex] and [tex]$X$[/tex] are transverse waves, Wave [tex]$Y$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a longitudinal wave.
So, the correct choice is:
Waves [tex]$W$[/tex] and [tex]$X$[/tex] are transverse waves, Wave [tex]$Y$[/tex] could be a longitudinal or transverse wave, and Wave [tex]$Z$[/tex] is a longitudinal wave.
The final result is 1.
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