Physics 20: Mrs. Tyler Assignment 1? I40 Assignment 17 Unit D Module 2, Lesson 3: Wave Phase, Interference, and Standing Waves Lesson 3 of this assignment is worth 8 marks. The value of each question is noted in the left margin in parentheses. 1. Fill in the missing cells of the table. Note: 360 = 2n. Degree Value ('1 Radian Value {3) 4.5!"! 2 a} Two waves with equal amplitudes and wavelengths are perfectly in phase. How does the amplitude of their combined waveform compare to the amplitude of their individual waveforms? {1) b) Two waves with equal amplitudes and wavelengths are perfectly out of phase. How does the amplitude of their combined waveform compare to the amplitude of their individual waveforms? {1) Physics 20: Mrs. Tyler Assignment 1? 3. Use the following information to answer parts a and b. Wave 1 has an amplitude of 40.0 cm, and Wave 2 has an amplitude of 15.0 cm. a) If the two waves constructively interfere, what is the maximum possible amplitude of their combined wave? (1) b) If the two waves were constructively interfering, but Wave 1 was shifted by (in radians, would the change create constructive, destructive, or intermediate interference? Explain. (I) c) If the two waves destructively interfere, what is the maximum possible amplitude of their combined wave? {1) Physics 20: Mrs. Tyler Assignment 1? Unit D Module 2, Lesson 4: Resonating Air Columns Lesson 4 of this assignment is worth 8 marks. The value of each question is noted in the left margin in parentheses. 1. A \"middle C\" tuning fork has a frequency of 256 Hz. It is held over a variety of open pipes. Which length of pipe will produce a third resonance position? Assume the speed of sound is 336 m/s. (3} 2, A tuning fork of an unknown frequencv produces the second resonance position above a 49.2 cm-long closed pipe. If the speed of sound is 336 m/s, what is the frequency of the tuning fork? (3} Physics 20: Mrs. TylerAssignment 17 3. Explain why a piano and a ute sound different when they both play the note C4 (256 Hz). You may wish you reference p.422-423 of your textbook. (2) After you have completed all questions in Lesson 4, please place your assignment in a safe place until you have nished Lesson 5. Unit D Module 2, Lesson 5: Two-Point Interference Patterns Lesson 4 of this assignment is worth 12 marks. The value of each question is noted in the left margin in parentheses. 1. You will be conducting an online lab for this question. Follow the steps to answer parts ac. i. Open the PheT 'Wave Interference\" lab by typing the following link into your web browser: bit.IX/2U2t ZVW ii. Select the \"Interference\" option. iii. Select the \"Slow\" option. iv. Select the Sound wave option by clicking the speaker. v. Drag the pressure sensor above the grey window. vi. Don't adjust the variables (mid-level frequency, max amplitude, and separation 200 cm.) vii. Turn on each speaker by hitting the green buttons. viii. Play with the pressure sensor by moving a sensor around the window and observing the screen on the sensor. a) Draw an arrow that points to an area of destructive interference: (1) FIGURE 1: IMAGE TAKEN FROM PHET INTERACTIVE SIMULA'HONS: UNIVERSITY OF COLORADO BOULDER Physics 20: Mrs. Tyler Assignment 17 b) How is destructive interference created in this scenario? (Use the words crest, traugh, and wave.) (2) ix. Pause the window. x. Drag the tape measure onto your window and use it to measure the wavelength. (You may want to see 11426-427 of your textbook.) :2) What is the wavelength of the sound waves emitted by the speakers? (1) xi. Press play to resume the waves. xii. Drag the timer onto your window and use it to measure the period. I) Count the number of cycles in a chosen amount of time. 2) The more seconds you run the timer for while counting, the more accurate your frequency calculation will be. 3) You may toggle between \"normal\" and \"slow\" speed to count more cycles in less time. 4) Divide the number of cycles you counted by the amount of time in step I to determine the number of cycles per millisecond. 5) Convert your units to Hz or cycles per second. d) What is the frequencv of the sound waves emitted by the speakers? Answer to 3 significant digits. (1) e) What is the period of the sound waves emitted by the speakers? Answer to 3 significant digits. (1) Physics 20: Mrs. Tyler Assignment 1? f) Use your answers from part c and d to calculate the speed of sound in m/s. Answer to 3 significant digits. (I) g) If a person were standing where the end of the tape measure is located in {2) the Figure 1 below, what would they hear? Explain. FIGURE 2: IMAGE TAKEN FROM PI-IET INTERACTIVE SIMULAHONS: UNIVERSITY OF Comma BOULDER FIGURE3 - L - n (1 ) h) What can be sad about 7, the who of the path length dIfference from the two speakers compared to the wavelength of the speakers, in the location indicated in Figure 1? Physics 20: Mrs. Tyler Assignment 1? xiii. Click on the faucet option beside the speaker to change to simulation to water waves. (1) i) Describe the motion of a duck floating on the surface of the water along a nodal line. j) Describe the motion of a duck floating on the surface of the water along an antinodal line. (1) After you have completed all questions in Lesson 5, please place your assignment in a safe place untif you have finished Lesson 6. Unit D Module 2, Lesson 6: The Doppler Effect Lesson 6 of this assignment is worth 12 marks. The value of each question is noted in the left margin in parentheses. 1. a) Ajet is flying North at 200 m/s. Draw a rough sketch of the jet and its sound waves. (1) Physics 20: Mrs. Tyler Assignment 1? b) Draw a rough sketch of that same jet and its new sound waves if it increases its speed to 260 m/s. (1) c) If the jet were to reach the speed of sound, what would be the magnitude of the wavelength in front of the jet? (1} d) In the moment the jet reaches the speed the sound, the wave front that is emitted is called a wave. {1} At an air show, a jet is approaching you at a speed of 140 m/s. You hear the jet engine at 2- a frequency of 775 Hz. What was the emitted frequency of the jet engine? It was a hot day so the speed of sound was 349 m/s. {2} Physics 20: Mrs. Tyler Assignment 1? 3. {3) {3) An ambulance is driving away from you in an area with a speed limit of 50 km/h. You measure the frequency of one of its siren tones to be 737 Hz, when you know the actual frequency of the tone to be 770 Hz. The temperature outside is 13C. Use the formula below to approximate the speed of sound in that temperature, then determine if the ambulance was speeding. Show all your work, including your rearranging of the Doppler equation. 1; = 331 + 0.61Twhere v is the speed of sound and T is the temperature in 'C. Using the same formula for the speed of sound in question 3, calculate the temperature outside if your friend is driving towards you at a speed of 30 km/h and honking their horn. The horn has an actual frequency of 150 Hz but you measure it to be 154 Hz. Show all your work, including your rearranging of the Doppler equation