I'll answer and explain each question:
*Comprehension-Level Questions*
1. How do transverse waves differ from longitudinal waves?
Transverse waves and longitudinal waves differ in the direction of particle motion
relative to the wave's direction:
- Transverse waves: Particles move perpendicular to the wave direction (up and down
or side to side).
- Longitudinal waves: Particles move parallel to the wave direction (back and
forth).
1. What does the wavelength of a wave tell us about its shape or size?
Wavelength indicates the distance between two consecutive identical points on a
wave (e.g., crest to crest or trough to trough), representing the wave's size or
length.
*True or False Concept Check*
1. True. A wave is a disturbance transferring energy from one place to another.
2. False. Sound waves are longitudinal waves.
3. True. Wavelength is the distance between two consecutive crests or troughs.
4. False. Amplitude is the maximum displacement of particles from equilibrium.
1. True. Light waves can travel through a vacuum.
1. True. The unit of frequency is Hertz (Hz).
2. False. Ocean waves are an example of surface waves, which combine transverse and
longitudinal motion.
1. False. In a transverse wave, particles move perpendicular to the wave direction.
1. True. The wave speed formula is v = f × λ (frequency × wavelength).
1. False. Higher frequency means more waves pass a point in a second.
*Problem-Solving Items*
1. A wave has a frequency of 5 Hz and a wavelength of 3 meters. What is the speed
of the wave?
Using the wave speed formula: v = f × λ
v = 5 Hz × 3 m
v = 15 m/s
1. An ocean wave travels at a speed of 8 m/s and has a wavelength of 2 meters. What
is the frequency of the wave?
Rearranging the wave speed formula: f = v ÷ λ
f = 8 m/s ÷ 2 m
f = 4 Hz
Explanations:
- Wave types: Transverse (e.g., light, water) and longitudinal (e.g., sound,
seismic).
- Wavelength: Distance between identical points on a wave.
- Frequency: Number of waves passing a point per second (measured in Hz).
- Amplitude: Maximum displacement from equilibrium.
- Wave speed: Product of frequency and wavelength (v = f × λ).
Let me know if you'd like further clarification!
