Mastering Waves Worksheet #2: Answer Key and Detailed Solutions
In our previous worksheet, we explored the fundamental concepts of wave motion, including types of waves, wave characteristics, and wave behavior. Now, let’s dive into the solutions for Waves Worksheet #2 and reinforce your understanding of wave phenomena.
Section 1: Multiple Choice Questions
- What is the primary difference between a transverse wave and a longitudinal wave?
Answer: A transverse wave oscillates perpendicular to the direction of propagation, while a longitudinal wave oscillates parallel to the direction of propagation.
- Which of the following is an example of a mechanical wave?
Answer: A sound wave.
- What is the term for the distance between two consecutive peaks or troughs of a wave?
Answer: Wavelength.
Section 2: Short Answer Questions
- Describe the difference between a wave’s frequency and its period.
Answer: Frequency is the number of oscillations or cycles per second, measured in Hertz (Hz). Period is the time taken for one complete oscillation or cycle, measured in seconds (s). They are inversely proportional, as frequency = 1/period.
- What is the relationship between wave speed, wavelength, and frequency?
Answer: Wave speed (v) is equal to the product of wavelength (λ) and frequency (f), as expressed by the equation: v = λf.
Section 3: Problem-Solving Questions
- A wave travels at a speed of 300 m/s with a frequency of 50 Hz. What is its wavelength?
Answer: Using the equation v = λf, we can rearrange it to solve for wavelength: λ = v/f. Substituting the given values, we get λ = 300 m/s / 50 Hz = 6 m.
- A guitar string vibrates at a frequency of 200 Hz. If the speed of the wave is 400 m/s, what is the wavelength of the wave?
Answer: Again, using the equation v = λf, we can solve for wavelength: λ = v/f. Substituting the given values, we get λ = 400 m/s / 200 Hz = 2 m.
Section 4: Essay Question
Describe the characteristics of a standing wave and explain how it forms.
Answer: A standing wave is a wave that oscillates in a fixed position, without moving in the direction of propagation. It forms when a wave is confined within a specific region, such as a stretched string or a cavity, and is reflected back to create a pattern of nodes and antinodes. The nodes are points of zero displacement, while the antinodes are points of maximum displacement. Standing waves have fixed wavelengths and frequencies, which are determined by the dimensions of the confined region.
Section 5: Bonus Question
What is the term for the energy transferred by a wave per unit area per unit time?
Answer: Intensity.
🤔 Note: The intensity of a wave is a measure of its energy transfer and is typically measured in units of Watts per square meter (W/m²).
Conclusion
In this Waves Worksheet #2 Answer Key, we have explored various aspects of wave motion, including wave types, characteristics, and behavior. By mastering these concepts, you will be better equipped to tackle more advanced topics in physics and develop a deeper understanding of the natural world.
What is the difference between a transverse wave and a longitudinal wave?
+A transverse wave oscillates perpendicular to the direction of propagation, while a longitudinal wave oscillates parallel to the direction of propagation.
What is the relationship between wave speed, wavelength, and frequency?
+Wave speed (v) is equal to the product of wavelength (λ) and frequency (f), as expressed by the equation: v = λf.
What is the term for the energy transferred by a wave per unit area per unit time?
+Intensity.
Related Terms:
- Waves Worksheet #2 Answer Key
