Wave Interactions and Properties Quiz

When a pulse travels from a faster medium into a slower medium, what can be said about the speed of the transmitted pulse compared to the incident pulse?

What happens to the wavelength of a pulse when it travels from a less dense medium into a more dense medium?

What forms when a crest travels from a faster medium into a slower medium?

When two pulses of equal amplitude pass through each other, what is the result?

At which harmonic is a standing wave formed on a 2.5 m string with 6 nodes?

When a wave travels into a different medium, what occurs to the speed?

What is the resultant height when a 14 cm trough meets an 18 cm pulse?

What type of wave is generated by the vibration of a guitar string?

Which factor primarily determines the speed of a mechanical wave?

When a wave transitions from shallow water to deep water, what happens to its wavelength?

What type of pulse results when a crest hits a fixed end?

What happens to the amplitude of a transmitted pulse when it travels from a more dense medium to a less dense medium?

When a crest travels from a slower medium into a faster medium, what is the nature of the transmitted and reflected pulse?

Wave Interactions and Properties

Wave behavior in different media:
- Frequency can change when a wave enters a different medium.
- Wavelength can change when a wave enters a different medium.
- Wave speed is determined by the medium.
- Amplitude can change when waves superimpose.

Wave Superposition

Pulse superposition:
- Resultant pulse amplitude can range from the sum to the difference of the individual pulses' amplitudes.

Wave Types

Mechanical waves:
- Guitar strings produce transverse waves.
- Longitudinal and transverse waves are produced by different scenarios.

Wave Speed

Factors determining wave speed:
- Wave speed depends on the medium.

Wave Reflection and Transmission

Reflection at fixed and free ends:
- Crest reflected at a fixed end becomes a trough.
- Trough reflected at a free end becomes a trough.
Transmission through different media:
- Denser to less dense medium: Transmitted pulse has higher amplitude, wavelength and speed compared to the incident pulse
- Faster to slower medium: Transmitted pulse will have lower speed than the incident pulse, The reflected pulse will be the opposite phase than the transmitted pulse.

Wave Interference

Superposition of waves:
- When two waves overlap, they interfere.
- If waves are in-phase, they constructively interfere (increased amplitude).

Standing Waves

Standing wave properties:
- Standing waves have fixed points called nodes and antinodes.
- The number of nodes minus one determines the harmonic number.
- Wavelength relates to the length of the medium.
- Overtone refers to the harmonic number minus 1.

Calculations

Wave formulas:
- f = 1/T (frequency = 1/period)
- v = λf (speed = wavelength × frequency)
- L = nλ/2 (length = harmonic number × wavelength/2 for string length)
- fn = nv (frequency of harmonic on string)
For standing waves on a string, v = √(T/μ) also applies, where T = tension and μ = linear density.

Test your knowledge on wave behavior, types, and properties. This quiz covers topics such as wave speed, superposition, reflection, and transmission across different media. Perfect for students studying physics concepts related to waves.