Phy 102 Wave, Sound, And Light Exercises: Complete The Follo
Phy 102 Wave Sound And Light Exercisescomplete The Following Exerci
PHY-102: Wave, Sound, and Light Exercises Complete the following exercises. 1. What is the source of all waves? 2. A water wave vibrates up and down four times each second, the distance between two successive crests is 5 meters, and the height from the lowest part to the highest part of the wave is 2 meters. a. What is the frequency of the wave in hertz? b. What is the period of the wave in seconds? c. What is the speed of the wave in meters per seconds? d. What is the amplitude of the wave in meters? 3. When you sit in the stands at a baseball stadium, you will hear the crack of the bat a short time after you see the batter hit the ball. Explain. 4. Why is the moon sometimes described as silent? 5. You are hiking in a canyon and you notice an echo. You decide to let put a yell and notice it took 2 seconds before you heard the echo of your yell. How far away is the canyon wall that reflected your yell? 6. Explain how the Doppler effect is used by the police to measure the speed of a car. 7. The light from the sun has higher frequencies from one side of the sun than from the other side. What does that tell you about the sun? 8. What is the source of all electromagnetic waves? 9. Why is the lettering on the front of an ambulance “backwards”? 10. What do radio waves, microwaves, light, and x-rays have in common? 11. Rank the following electromagnetic waves in order of increasing frequency. A. Microwaves B. Radio waves C. Ultraviolet radiation D. Visible light E. X-rays F. Infrared radiation 12. During a lunar eclipse the moon is in the shadow of the Earth. Why does the moon have a faint red color during the eclipse? 13. The distance from the sun to the Earth is 1.5 x 1011 m. How long does it take for light from the sun to reach the earth? Give your answer in seconds. 14. Why are polarized sunglasses particularly effective in reducing glare? 15. Match the following colored objects with the way in which the colors are produced. 1) Red rose 2) Rainbow 3) Oil film 4) Peacock feather 5) Blue sky A. Scattering B. Refraction C. Diffraction D. Interference E. Selective reflection The remaining questions are multiple-choice questions: 16. If the frequency of a vibration is doubled, what happens to the period? A. The period is doubled. B. The period remains the same. C. The period is reduced to one-quarter. D. The period is reduced to one-half E. The period is quadrupled. 17. What is the distance between two successive crests on a transverse wave called? A. Wavelength B. Period C. Amplitude D. Frequency E. Compression 18. Noise-cancelling earphones use which of the following phenomena? A. Frequency B. Constructive interference C. Destructive interference D. Resonance E. Beats 19. If the sun were to suddenly "turn off’, we would not know about it for about 8 minutes. Why? A. It would take about 8 minutes to realize what happened because of the darkness. B. It takes about 8 minutes for the sun to "power down". C. It takes about 8 minutes for Earth to spin around so we can see the sun. D. It takes about 8 minutes for the light to travel from the sun to Earth. 20. If the atmosphere was much thicker than it is now, how would the sun appear? A. The sun would appear the same. B. The sun would appear blue-violet. C. The sun would appear green-blue. D. The sun would appear red-orange. E. The sun would appear yellow-green. 21. If you dip your finger in a tub of water at a constant rate, concentric circular waves with a constant spacing (wavelength) will form. If you double the frequency at which you dip your finger, what will happen to the wavelength? A. The wavelength is reduced to one-quarter. B. The wavelength is reduced to one-half. C. The wavelength is quadrupled. D. The wavelength is doubled. E. The wavelength remains the same. 22. If you hear the clap of a thunder 5 seconds after seeing the flash of lightning, how far away from you did the lightning strike? A. About 5 miles B. About 5 kilometers C. About 1 mile D. About 1 kilometer 23. What are the three paint colors used for color subtraction? A. Red, yellow, and blue B. Red, green, and blue C. Orange, purple, and green D. Magenta, green, and yellow E. Magenta, cyan, and yellow 24. If you shine a beam of red light and a beam of green light on the same area of a screen, what color will you see on the screen? A. Red B. Green C. White D. Yellow E. Cyan F. Magenta 25. If you mix equal amounts of cyan pigments and magenta pigments on a sheet of white paper, what color will you see on the paper? A. Red B. Blue C. Black D. Yellow E. Cyan F. Magenta
Paper For Above instruction
The following comprehensive academic paper addresses the fundamental principles and phenomena related to waves, sound, and light, and provides detailed explanations for the posed questions. This discussion incorporates scientific definitions, real-world examples, and relevant theories, supported by credible sources.
Introduction
Waves are a fundamental aspect of physics, encompassing a wide range of phenomena including sound, light, and electromagnetic radiation. They are mechanisms for transferring energy across distances without the transfer of matter. Understanding the nature, behavior, and properties of waves is essential for comprehending the workings of our universe, from the acoustic experience of sound to the optical behavior of light. This paper systematically explores key questions related to waves, sound propagation, light interaction, electromagnetic spectrum, and wave phenomena, shedding light on their scientific basis and real-world applications.
The Nature of Waves
All waves originate from a source that vibrates or oscillates. Whether it is a vibrating string, an electromagnetic field, or a moving object, the source provides the initial energy that propagates through a medium or through space. This spreads as a wave, transferring energy but not matter, consistent with classical wave theory (Serway & Jewett, 2014). Mechanical waves, like water waves or sound waves, require a medium such as water, air, or solids to travel. Conversely, electromagnetic waves, including light and radio waves, are self-propagating in a vacuum, with their speed determined by the properties of space itself (Young & Freedman, 2012).
Wave Characteristics and Properties
The frequency of a wave is the number of oscillations or cycles per second, measured in Hertz (Hz). The period is the reciprocal of frequency, representing the time for one complete cycle (Hewitt, 2015). Wavelength is the spatial distance between successive crests or troughs, while the wave speed depends on the frequency and wavelength, expressed as v = fλ (Serway & Jewett, 2014). Amplitude denotes the maximum displacement from equilibrium, which correlates with the energy carried by the wave (Young & Freedman, 2012). For water waves, the height difference from crest to trough signifies the wave’s amplitude, which directly relates to the energy transferred.
Sound Propagation and Human Perception
The delay between seeing the baseball hit and hearing the crack of the bat results from the finite speed of sound, approximately 343 meters per second in air at room temperature (Cox & Cox, 2015). Light travels significantly faster—about 3.0 x 108 m/s—making the delay for visual confirmation negligible compared to sound. The "silence" of the moon can be explained by the absence of a medium for sound to propagate; since the moon lacks a substantial atmosphere, no sound waves can travel from its surface, rendering it silent (Hewitt, 2015).
Echoes and Distance Measurement
The echo phenomenon occurs when sound waves reflect off surfaces such as canyon walls. The time delay between the emission and reception of the echo allows calculation of the distance using the wave speed. Given a two-second round-trip delay, the distance to the reflecting surface is approximately 342 meters, considering the speed of sound in air (Cox & Cox, 2015).
The Doppler Effect and Its Applications
The Doppler effect describes the change in frequency or pitch of a wave in relation to an observer moving relative to the source. Police radar guns utilize this principle by emitting radio waves and measuring the shift in frequency caused by a moving vehicle. The greater the change in frequency, the higher the speed of the vehicle, enabling accurate speed monitoring (Serway & Jewett, 2014).
Properties of Light and the Solar Spectrum
The observation that the sun's light has different frequencies on either side suggests phenomena such as gravitational redshift or solar rotation, which causes Doppler shifting in spectral lines (Young & Freedman, 2012). High-frequency components like ultraviolet radiation have shorter wavelengths and higher energies, whereas lower frequencies like infrared have longer wavelengths. All electromagnetic waves originate from oscillating electric and magnetic fields, and their propagation does not require a medium (Hewitt, 2015).
Electromagnetic Spectrum and Their Commonalities
Radio waves, microwaves, visible light, X-rays, and gamma rays are all electromagnetic waves distinguished by frequency and wavelength. They are transverse waves characterized by oscillating electric and magnetic fields perpendicular to the direction of propagation (Serway & Jewett, 2014). Their common nature allows their usage across technologies such as communication, medical imaging, and astronomy.
Color Production and Perception
Color formation involves various phenomena: scattering (blue sky), refraction (rainbows), diffraction (oil films creating iridescence), interference (peacock feathers), and selective reflection (red rose petals). These mechanisms manipulate light interactions to produce perceived colors. For example, scattering causes shorter blue wavelengths to dominate the sky's color, while refraction bends light to produce rainbows (Young & Freedman, 2012).
Wave Interactions and Practical Applications
Doubling the frequency of a wave reduces its wavelength, given by the relation λ = v / f. Since the wave speed in a medium generally remains constant, increasing frequency results in a proportionally shorter wavelength (Hewitt, 2015). Noise-canceling headphones employ destructive interference, where sound waves of opposite phase cancel each other, reducing perceived noise (Serway & Jewett, 2014).
Relativity of the Speed of Light and Astronomical Observations
Light from the sun takes approximately 8 minutes and 20 seconds to reach Earth, based on the speed of light, approximately 3.0 x 108 m/s, and the distance from the sun to Earth (1.5 x 1011 meters). This finite travel time affects how we observe celestial events and explains why we see the sun as it was in the recent past (Young & Freedman, 2012).
Solar Appearance and Light Scattering
If Earth's atmosphere were thicker, increased scattering would cause the sun to appear more reddish-orange, due to the preferential scattering of shorter blue and green wavelengths. Similar phenomena are observed during sunsets and sunrises (Cox & Cox, 2015).
Wave Behavior and Color Mixing
When a finger dips into water, it produces circular waves whose wavelength correlates with the frequency of disturbance. Doubling the frequency shortens the wavelength, as per the inverse relationship λ = v / f (Young & Freedman, 2012). Color subtraction principles involve mixing primary pigments—cyan, magenta, and yellow—to produce various hues, with the primary subtractive colors being cyan, magenta, and yellow (Serway & Jewett, 2014). Shining red and green light simultaneously produces yellow due to additive color mixing. Mixing cyan and magenta pigments yields blue, demonstrating subtractive color relationships.
Conclusion
Understanding the principles of waves, sound, and light provides insight into both everyday phenomena and advanced scientific concepts. From sound propagation and Doppler shifts to electromagnetic spectrum diversity and light interaction mechanisms, these principles underpin modern technology, astronomy, and our comprehension of the universe. Knowledge of these topics enables us to interpret the natural world and develop innovative applications across various fields.
References
- Cox, A., & Cox, L. (2015). Understanding sound and acoustics. New York: Academic Press.
- Hewitt, P. G. (2015). Conceptual Physics (12th ed.). Pearson.
- Serway, R. A., & Jewett, J. W. (2014). Physics for Scientists and Engineers (9th ed.). Brooks Cole.
- Young, H. D., & Freedman, R. A. (2012). University Physics (13th ed.). Pearson.