Transverse V Longitudinal Wave Worksheet 2b107dk | PDF | Waves ... - Free Printable

Problem Analysis and Solution

The worksheet provided involves understanding wave properties, types of waves, and their characteristics. Let's solve each section step by step.

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#### Section 1: Waves Practice

We are given five wave diagrams labeled P, Q, R, S, and T. We need to analyze these waves based on their properties (amplitude, frequency, etc.).

##### (a) Waves P and Q
- Observation: Both waves P and Q have the same wavelength but different amplitudes.
- Analysis: Wave P has a higher amplitude than wave Q.
- Answer: Waves P and Q have the same wavelength, but wave P has twice the amplitude of wave Q.

##### (b) Waves Q and R
- Observation: Both waves Q and R have the same amplitude but different wavelengths.
- Analysis: Wave R has a longer wavelength than wave Q.
- Answer: Waves Q and R have the same amplitude, but wave R has twice the wavelength of wave Q.

##### (c) Wave with Steady Frequency but Changing Amplitude
- Observation: Wave S shows a consistent pattern in its wavelength (frequency) but varying amplitude.
- Answer: Wave S shows a steady frequency but changing amplitude.

##### (d) Wave with Steady Amplitude but Changing Frequency
- Observation: Wave T shows a consistent amplitude but varying wavelength (frequency).
- Answer: Wave T shows steady amplitude but a changing frequency.

##### (e) Waves with Low Amplitude and Steady Frequency
- Observation: Waves Q and S both have low amplitudes and steady frequencies.
- Answer: Waves Q and S have a low amplitude and a steady frequency.

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#### Section 2: Diagram Analysis

We are given a diagram of a wave and need to identify its properties.

##### (a) Transverse or Longitudinal?
- Observation: The wave shown is a transverse wave because the displacement of the medium is perpendicular to the direction of wave propagation.
- Answer: This wave is transverse.

##### (b) Letters H and I
- Observation: Letter H points to a crest, and letter I points to a trough.
- Answer: Letter H represents a crest, and letter I represents a trough.

##### (c) Letter G
- Observation: Letter G represents the distance between two consecutive crests or troughs, which is the wavelength.
- Answer: Letter G represents a wavelength.

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#### Section 3: Frequency Calculation

A kid on a playground swing makes 6 complete to-and-fro swings every 30 seconds.

##### Calculation
- Frequency is defined as the number of oscillations per second.
- Number of oscillations = 6
- Time taken = 30 seconds
- Frequency \( f = \frac{\text{Number of oscillations}}{\text{Time}} = \frac{6}{30} = 0.2 \, \text{Hz} \)

##### Answer
The frequency of the swinging is 0.2 Hz.

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#### Section 4: Perpendicular Vibration

##### Explanation
- A wave where the vibration is perpendicular to the direction of travel is called a transverse wave.
- Examples include light waves and water waves.

##### Answer
The type of wave where the vibration is perpendicular to the direction of travel is transverse wave.

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#### Section 5: Parallel Vibration

##### Explanation
- A wave where the vibration is parallel to the direction of travel is called a longitudinal wave.
- Examples include sound waves and seismic P-waves.

##### Answer
The type of wave that vibrates parallel to the direction of travel is longitudinal wave.

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#### Section 6: Compressions and Rarefactions

##### Explanation
- Compressions and rarefactions are characteristic features of longitudinal waves.
- Compressions are regions of high particle density, and rarefactions are regions of low particle density.

##### Answer
The type of wave that contains compressions and rarefactions is longitudinal wave.

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#### Section 7: Moving One End of a Spring Up and Down

##### Explanation
- When one end of a horizontal spring is moved up and down, it creates a wave where the displacement is perpendicular to the direction of wave propagation.
- This is a transverse wave.

##### Answer
The type of wave produced when you move one end of a horizontal spring up and down is transverse wave.

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#### Section 8: Wavelength

##### Explanation
- All waves, whether transverse or longitudinal, have a wavelength.
- Wavelength is the distance between two consecutive crests, troughs, compressions, or rarefactions.

##### Answer
The type of wave that has a wavelength is all waves.

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#### Section 9: Determining Wavelength

##### Instructions
- Use a ruler to measure the distance between two consecutive crests or troughs in the provided wave diagram.
- Assume the diagram shows a transverse wave.

##### Answer
Measure the wavelength using a ruler and report the value. (This step requires physical measurement, so the exact numerical answer cannot be provided here.)

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Final Answers

1.
- (a) Wavelength, amplitude
- (b) Amplitude, wavelength
- (c) S
- (d) T
- (e) Q, S

2.
- (a) Transverse
- (b) Crest, trough
- (c) Wavelength

3. 0.2 Hz

4. Transverse wave

5. Longitudinal wave

6. Longitudinal wave

7. Transverse wave

8. All waves

9. Measure using a ruler.

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Final Boxed Answer:
\[
\boxed{
\begin{array}{l}
\text{1. (a) Wavelength, amplitude} \\
\text{(b) Amplitude, wavelength} \\
\text{(c) S} \\
\text{(d) T} \\
\text{(e) Q, S} \\
\text{2. (a) Transverse} \\
\text{(b) Crest, trough} \\
\text{(c) Wavelength} \\
\text{3. 0.2 Hz} \\
\text{4. Transverse wave} \\
\text{5. Longitudinal wave} \\
\text{6. Longitudinal wave} \\
\text{7. Transverse wave} \\
\text{8. All waves} \\
\text{9. Measure using a ruler.}
\end{array}
}
\]