Free Response Questions Name: Answer KEY attached

1. The diagram below represents two pulses traveling toward each other in a uniform medium.

On the grid above, draw the resultant displacement of the medium when both pulses are locatedbetween points A and B.

2. On the centimeter grid below draw at least one cycle of a periodic transverse wave with an amplitudeof 2.0 centimeters and wavelength of 6.0 centimeters.

3. The diagram below represents a periodic wave moving along a rope.

On the grid above, draw at least one full wave with the same amplitude and half the wavelength of thegiven wave.

Base your answers to questions 4 and 5 on the diagram below, which shows a wave in a rope.

4. Determine the amplitude of the wave.

5. Determine the wavelength of the wave.

Base your answers to questions 6 and 7 on the information below.

One end of a rope is attached to a variable speed drill and the other end is attached to a5.0-kilogram mass. The rope is draped over a hook on a wall opposite the drill. When the drillrotates at a frequency of 20.0 Hz, standing waves of the same frequency are set up in the rope. Thediagram below shows such a wave pattern.

6. Calculate the speed of the wave in the rope. [Show all work, including the equation and substitutionwith units.]

7. Determine the wavelength of the waves producing the standing wave pattern.

Base your answers to questions 8 and 9 on the information and diagram below.

The vertical lines in the diagram represent compressions in a sound wave of constantfrequency propagating to the right from a speaker toward an observer at point A.

8. The speaker is then moved at constant speed toward the observer at A. Compare the wavelength of thesound wave received by the observer while the speaker is moving to the wavelength observed whenthe speaker was at rest.

9. Determine the wavelength of this sound wave.

10. A student and a physics teacher hold opposite endsof a horizontal spring stretched from west to eastalong a tabletop. Identify the directions in which thestudent should vibrate the end of the spring toproduce transverse periodic waves.

Base your answers to questions 11 through 13 on the information below.

A stationary research ship uses sonar to send a 1.18 × 103-hertz sound wave down through the oceanwater. The reflected sound wave from the flat ocean bottom 324 meters below the ship is detected0.425 second after it was sent from the ship.

11. Determine the period of the sound wave in the ocean water.

12. Calculate the wavelength of the sound wave in the ocean water. [Show all work, including theequation and substitution with units.]

13. Calculate the speed of the sound wave in the ocean water. [Show all work, including the equation andsubstitution with units.]

14. A periodic wave travels at speed v through medium A. The wave passes with all its energy into medium B. The speed of the wave through medium B is . Onthe diagram below draw the wave as it travelsthrough medium B. [Show at least one full wave.]

15. The diagram below represents a transverse wavemoving on a uniform rope with point A labeled asshown. On the diagram below, mark an X at thepoint on the wave that is 180° out of phase withpoint A.

Base your answers to questions 16 and 17 on the information below.

A 1.50 × 10–6-meter-long segment of an electromagnetic wave having a frequency of 6.00 × 1014 hertz is represented below.

16. According to the Reference Tables for Physical Setting/Physics, which type of electromagnetic wavedoes the segment in the diagram represent?

17. On the diagram below, mark two points on the wave that are in phase with each other. Label eachpoint with the letter P.

18. The diagram below represents a periodic transversewave traveling in a uniform medium.

On the diagram above, draw a wave having both asmaller amplitude and the same wavelength as thegiven wave.

Base your answers to questions 19 through 21 on theinformation below.

A student generates a series of transverse wavesof varying frequency by shaking one end of aloose spring. All the waves move along the springat a speed of 6.0 meters per second.

19. Draw the best-fit line or curve.

20. On the grid below, plot the data points forwavelength versus frequency.

21. Complete the data table below by determining thewavelengths for the frequencies given.

22. The graph below represents the relationship betweenwavelength and frequency of waves created by twostudents shaking the ends of a loose spring.

Calculate the speed of the waves generated in thespring. [Show all work, including the equation andsubstitution with units.]

Base your answers to questions 23 and 24 on the information and diagram below.

A student standing on a dock observes a piece of wood floating on the water as shown below. As awater wave passes, the wood moves up and down, rising to the top of a wave crest every seconds.

23. Calculate the speed of the water waves. [Show all work, including the equation and substitution withunits.]

24. Calculate the frequency of the passing water waves. [Show all work, including the equation andsubstitution with units.]

25. The diagram below represents a transverse wave, A,traveling through a uniform medium. On thediagram, draw a wave traveling through the samemedium as wave A with twice the amplitude andtwice the frequency of wave A.

Base your answers to questions 26 through 28 on theinformation below.

A periodic wave traveling in a uniformmedium has a wavelength of meter, anamplitude of meter, and a frequency of hertz.

26. Calculate the speed of the wave. [Show all work,including the equation and substitution with units.]

27. On the grid above, starting at point A, sketch a graphof at least one complete cycle of the wave showingits amplitude and period.

28. Determine the period of the wave.

29. The diagram below represents a transverse wavemoving along a string.

On the diagram draw a transverse wave that wouldproduce complete destructive interference whensuperimposed with the original wave.

Base your answers to questions 30 and 31 on theinformation below.

A transverse wave with an amplitude of 0.20 meterand wavelength of 3.0 meters travels toward the rightin a medium with a speed of 4.0 meters per second.

30. Calculate the period of the wave.

31. On the diagram place an X at each of two pointsthat are in phase with each other.

Base your answers to questions 32 through 34 on the information and diagram below.

Three waves, A, B, and C,travel 12 meters in 2.0 seconds through the same medium as shown inthe diagram below.

32. What is the speed of wave B?

33. What is the period of wave A?

34. What is the amplitude of wave C?

Base your answers to questions 35 and 36 on the information below.

A periodic transverse wave has an amplitude of 0.20 meter and a wavelength of 3.0 meters.

A) 0.25 m/s B) 12 m/s C) 36 m/s D) 4.0 m/s

35. If the frequency of this wave is 12 Hz, what is its speed?

36. On the grid provided above, draw at least one cycle of this periodic wave.

Base your answers to questions 37 and 38 on the information, diagram, and data table below.

The diagram shows a light string attached to mass m forming a pendulum of length …. Onecomplete vibration of the pendulum consists of mass m moving from position A to position B andback to position A. The data table shows the results of an experiment measuring the time for 10complete vibrations of the pendulum for various pendulum lengths.

37. Determine the period of the 1.0-meter pendulum.

38. a Mark an appropriate scale on the axis labeled “Time for 10 Vibrations.”b Plot the data points for time for 10 vibrations versus length.c Draw the best-fit curve.

Base your answers to questions 39 through 42 on the information and diagram below.

A wave generator having a constant frequency of 15 hertz produces a standing wavepattern in a stretched string.

39. How many antinodes are shown in the diagram?

40. State what would happen to the wavelength of the wave if the frequency of the wave were increased.

41. Using a ruler, measure the wavelength of the wave shown. Record the value to the nearest tenth of acentimeter.

42. Using a ruler, measure the amplitude of the wave shown. Record the value to the nearest tenth of acentimeter.

43. A 0.65-meter-long pendulum consists of a1.0-kilogram mass at the end of a string. Thependulum is released from rest at position A, 0.25meter above its lowest point. The pendulum is timedat five positions, A through E.

Based on the information in the diagram and the datatable, determine the period of the pendulum.

Base your answers to questions 44 through 46 on the information and wave diagrams below.

Two waves, A and B, pass through the same medium at the same time.

44. Name a wave charactertistic that is different for wave A and wave B.

45. Name a wave characteristic that is the same for both wave A and wave B.

46. On the grid provided above, sketch the wave pattern produced when the two waves interfere.

47. Base your answer to the questions below on the following information:

The sonar of a stationary ship sends a signal with a frequency of hertz down through water.The speed of the signal is meters per second. The echo from the bottom is detected seconds later.

a What is the wavelength of the sonar wave? [Show all calculations, including the equation andsubstitution with units.]b What is the depth of the water under the ship? [Show all calculations, including the equation andsubstitution with units.]

Base your answers to questions 48 through 50 on the information and diagram below.

48. What is the wavelength of the resultant wave?

49. What is the amplitude of the resultant wave?

50. On the grid draw the resultant wave produced by the superposition of waves A and B.

Answer KeyFree Response Questions WAVE

1.

2.

3.

4. 0.60 m5. 3.2 m6.

7. 3.0 m8. the wavelength is

shorter while thespeaker is moving

9. 1.5 m10. — north and south

— up and down —perpendicular tospring — left andright

11. 8.47 10-4 s12.

13.

14.

15.

16. visible light orgreen light

17.

18.

19.

20. Correctly plotting allfour data points (±0.3 grid space).

21.

22.

23.

24.

25.

26.

27.

28. 0.20 s or s.

29.

30. 0.75 s or 0.77 s31.

32. Allow credit for 6.0m/s or 6 m/s.

33. Allow credit for 0.50s or 0.5 s.

34. Allow credit for 1.0m or 1 m.

35. C36.

37. 2 seconds38.

39. Credit for 440. Credit for indicating

that the wavelengthwould decrease

41. Credit for 4.6 cm;+/- 0.2 cm

42. Credit for 1.2 cm 0.2 cm

43. 1.6 seconds

Answer KeyFree Response Questions WAVE

44. Examples ofAcceptableResponses

wavelength or frequency or period

45. amplitude or speed46.

47.

48. 1.0 m or 100 cm49. 0.3 m or 30 cm50. diagram