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which phrase best describes a periodic wave

adverb phrase B.) The pulse transferred A tuning fork vibrating in air produces sound waves. A B C D 2.Which of the following correctly describes a radio wave? transverse wave longitude wave surface wave wavelength (my, (a) What fraction of a wavelength is this? The sound wave slows down and refracts. . . A wave with a shorter wavelength is always faster than one with a longer wavelength. 1. is a longitudinal wave 2. possesses energy inversely proportional to its frequency 3. diffracts and accelerates in air4. . Answer in units of m, The oscillator that generates the wave com- pletes 46.0 vibrations in 26.5 s. A given crest of the wave travels 351 cm along the rope in a time period of 12.5 s. What is the wavelength? D: move northward, only, A distance of 1.0 10^2 meter separates successive crests of a periodic wave produced in a shallow tank of water. . . The fundamental frequency of all harmonics is periodic, and the total number of harmonics is also periodic at that specific frequency. . What is the name of this phenomenon? )]TJ T* [(42)-78( . C. The phase of the medium. 1,774 views )Tj 9 0 0 9 66.8205 105.958 Tm 0.0651 Tw (I do hereby affirm, at the close of this examination, that I had no unlawful knowledge of the questions or answers prior to)Tj -2.6667 -1.3333 TD 0.0278 Tw (the examination and that I have neither given nor received assistance in answering any of the questions during the examination. What is the frequency of the wave? Which phrase best describes wavelength? . . A.) . . . . . The electromagnetic wave is classified as (1) a radio wave (3) an x ray (2) an infrared wave (4) visible light 18 The energy of a sound wave . C: quartered Which phrase best describes wavelength? )]TJ -1.328 -2.4 TD 0.078 Tc -0.078 Tw [(7 . . Which type of wave requires a material medium through which to travel? Use the information about four different waves to answer the question. The correct answer is aits a process by which rocks and minerals undergo in their compositiono. . . . . A: 0.50 m . It requires a medium for its propagation. 17 An electromagnetic wave is produced by charged particles vibrating at a rate of 3.9 108 vibrations per second. . [)Tj 9 0 0 9 559.6923 290.7357 Tm 0 Tc 0 Tw (2)Tj 11.5 0 0 11.5 564.1023 290.7357 Tm (])Tj -20.9472 -3.2174 TD -0.0001 Tc 0.3037 Tw [(70)-413.2(Calculate the absolute index of refraction of)]TJ 1.413 -1.1304 TD 0 Tw (material )Tj /F5 1 Tf 3.7101 0 TD 0 Tc (X)Tj /F3 1 Tf 0.6108 0 TD -0.0001 Tc 0.0741 Tw (. . . . (a)Find the frequency of the wave. . b.) This equation can be used to calculate wave speed when wavelength and frequency are known. I lost my book :(. . Which wave )Tj T* 0.025 Tw [(phenomenon is responsible for this effect? . . 3)What is the frequency of the wave? A gamma ray has more energy than a radio wave because it has a shorter wavelength and a lower frequency. . . endstream endobj 25 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 26 0 obj<> endobj 27 0 obj<>stream . << /Metadata 3 0 R /Pages 4 0 R /Type /Catalog >> . . Humans can hear thunder at different frequencies. . 1 g /GS1 gs 12 782 m 12 782 l f q 1 i -1 793 614 -794 re 12 782 m W n 0 792.06 612 -792 re W n 42 62 528 -21 re f 43 743.246 527 -559.296 re f BT /F3 1 Tf 11.5 0 0 11.5 56 733.7136 Tm 0 g -0.0001 Tc 0.0797 Tw (Base your answers to questions 58 through 61 on)Tj -1.0435 -1.1304 TD 0.025 Tw [(the information and data table below)73.8(. 6) foam . . . . Where are makes up the nucleus of an atom? . . A: frequency . Which process explains this? endstream endobj 13 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 14 0 obj<> endobj 15 0 obj<> endobj 16 0 obj<> endobj 17 0 obj<> endobj 18 0 obj<> endobj 19 0 obj<> endobj 20 0 obj<>stream . . . . Is the answer D? [V)54.8(ectors are not)]TJ T* 0.025 Tw (drawn to scale. . . What best describes a periodic wave? The wave height is decreasing. The formula vw=f describes the relationship between the speed of a wave (vw), and its frequency (f) and wavelength () For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s. . [Show all work, including the equation and)Tj T* 0.025 Tw [(substitution with units.] (1) 20. B. light . v w = f . B: longitudinal . . What is the formula for potential energy is? )Tj -8.446 -11.5652 TD 0.0115 Tw (Which diagram best represents the directions of)Tj 0 -1.1304 TD 0.1309 Tw (the gravitational force, )Tj /F5 1 Tf 9.9045 0 TD 0 Tc 0 Tw (F)Tj 7.993 0 0 7.993 458.6044 557.6337 Tm (g)Tj /F3 1 Tf 11.5 0 0 11.5 462.4485 561.4286 Tm -0.0001 Tc 0.1309 Tw (, and the electrostatic)Tj -10.6316 -1.1304 TD 0 Tw (force, )Tj /F5 1 Tf 2.596 0 TD 0 Tc (F)Tj 7.993 0 0 7.993 375.1318 544.6336 Tm (e)Tj /F3 1 Tf 11.5 0 0 11.5 378.5349 548.4286 Tm -0.0001 Tc -0.0136 Tw (, acting on sphere )Tj /F5 1 Tf 7.4871 0 TD 0 Tc 0 Tw (A)Tj /F3 1 Tf 0.8844 0 TD -0.0001 Tc -0.0136 Tw (due to the mass and)Tj -11.7062 -1.1304 TD 0.1264 Tw (charge of sphere )Tj /F5 1 Tf 7.4758 0 TD 0 Tc 0 Tw (B)Tj /F3 1 Tf 0.6479 0 TD -0.0001 Tc 0.1264 Tw [(? . Combined sea waves. A mechanical wave moves through a medium, which can be (1 point) A. a liquid. Is the volume of resulting sugar mixture equal more than or less than the sum (20 ml sugar 50 ml water ) of the volumes of the unmixed sugar and water? )-1470.4(3)0(0)-429.5( . For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s. What are the types of periodic waves? 2) If the wavelength of a, the tree? stream [)]TJ 9 0 0 9 285.8585 362.1809 Tm 0 Tc 0 Tw (1)Tj 11.5 0 0 11.5 290.3585 362.1809 Tm (])Tj -19.8853 -3.5652 TD -0.0001 Tc 0.025 Tw (Base your answers to questions 51 and 52 on the)Tj -1.5652 -1.1304 TD [(information below)73.8(. )-1470.4(2)0(8)-429.5( . . . . Which type of mechanical wave needs a source of energy to produce it? . Therefore, the correct answer is option D: a row of elements. What do all the waves have in common? . Transverse waves are like those on water, with the surface going up and down, and longitudinal waves are like of those of sound, consisting of alternating compressions and rarefactions in a medium. The time it takes for a wave to repeat What does the stu-)Tj T* 0.1067 Tw (dent definitely know about the initial magnetic)Tj T* 0.025 Tw [(properties of the two pieces of iron? . B. . endobj )Tj 2.8801 0 TD (. . )]TJ T* 0.0095 Tw (The two pieces attract again. Radio waves are part of a general class of waves known as electromagnetic waves. )]TJ -1.328 -2.4 TD 0.078 Tc -0.078 Tw [(8 . )Tj T* 0.0282 Tw ([Show all work, including the equation and sub-)Tj T* 0.025 Tw [(stitution with units.] . . A. . . )Tj /F11 1 Tf 0 0 0 0 k 29.1269 10.8811 TD 0 Tc ()Tj 1 Tr 0 0 TD ()Tj /F3 1 Tf 0 Tr 0 g 1.7076 0 TD -0.0202 Tc (Male)Tj ET 1 w 542.219 615.968 35 -23 re 353.545 608.704 m 542.739 585.595 35 -23 re 353.545 608.704 m S 2 w 588.015 545.301 m 384.917 545.301 l 588.015 549.3 m 384.917 549.3 l S 1 g 26.055 468.147 562.275 -422.147 re f BT /F2 1 Tf 10 0 0 10 38.0551 409.0812 Tm 0 g -0.0001 Tc (48)Tj ET 0.5 w 60.291 408.081 m 295.616 408.081 l 59.448 378.081 m 294.773 378.081 l S BT 10 0 0 10 38.0551 331.0812 Tm (49)Tj ET 60.291 330.081 m 295.616 330.081 l S BT 10 0 0 10 38.0551 283.0812 Tm (50)Tj ET 60.291 282.081 m 295.616 282.081 l 59.448 252.081 m 294.773 252.081 l S BT 10 0 0 10 38.0551 205.0812 Tm (51)Tj ET 60.291 204.081 m 115.302 204.081 l S BT 10 0 0 10 115.3024 205.0812 Tm (km)Tj -7.7247 -4.8 TD (52)Tj ET 60.291 156.081 m 115.302 156.081 l S BT 10 0 0 10 115.3024 157.0812 Tm (km)Tj -7.7247 -4.8 TD (53)Tj ET 60.291 108.081 m 115.302 108.081 l S BT 10 0 0 10 115.3024 109.0812 Tm 0 Tc (C)Tj ET 1 w 25.555 468.647 563.275 -423.147 re 122.522 109.081 m S 1 g 48.978 461.593 517.595 -17.334 re f BT /F1 1 Tf 11 0 0 11 285.7223 452.4312 Tm 0 g -0.0001 Tc 0.0278 Tw (Part B2)Tj ET 141.39 632.807 m 200.39 632.807 l S 309.6 438.949 m 309.6 53.726 l S 1 g 326.042 434.884 254.853 -381.905 re f BT /F2 1 Tf 10 0 0 10 327.0424 426.7064 Tm 0 g 0 Tw (54)Tj 0 -17.4 TD (55)Tj ET Q A: frequency . has a wave velocity that differs by a factor of two from what it would be for a traveling wave MCQ13 [3 points]: If you hold a 1.2-m aluminum rod in the center and hit . 9 0 obj . . <>>>/MediaBox[ 0 0 608.4 786.6]/Contents 6 0 R /Rotate 0>> . )]TJ 2.6087 -2 TD 0.1115 Tw (A 50.-kilogram child running at 6.0 meters)Tj -1.5652 -1.1304 TD -0.0085 Tw (per second jumps onto a stationary 10.-kilogram)Tj T* 0.025 Tw (sled. The amplitude of the wave. This is known as sound vibration. . Wave speed is the distance a wave travels in a given amount of time, such as the number of meters it travels per second. endstream endobj 65 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 66 0 obj<> endobj 67 0 obj<>stream How does frequency apply to periodic waves? The speed of propagation vw is the distance the wave travels in a given time, which is one wavelength in a time of one period. . Atomic radii decrease from left to right across a period and decrease from top to bottom in a group. )]TJ 31.5521 0 TD (. . . )]TJ -1.328 -2.4 TD 0.078 Tc -0.078 Tw [(6 . What is the wavelength of the waves that travel on the string? <> . ( Write a word phrase for the algebraic expression 3x - 7. . . It is also known as oscillatory motion. . Which statement best explains the type of wave created by this motion? C: ultraviolet waves . . . . 1 0 obj<> endobj 2 0 obj<>stream A: 0.5 s . B: microwaves 7 0 obj See Figure 13.8. . . . The wave is changing direction. . )]TJ ET 356.784 523.773 m 356.784 200.34 l S 286.517 229.555 29 -29 re 447.009 323.937 m S BT /F1 1 Tf 9 0 0 9 274.8092 236.4167 Tm -0.0001 Tc 0.0278 Tw (Part A Score)Tj ET 487.525 390.915 29 -29 re 326.973 236.417 m S BT 9 0 0 9 470.3395 397.7762 Tm (Part B1 Score)Tj ET Q )Tj 0 -1.4783 TD -0.0003 Tc 0 Tw (\(1\))Tj /F5 1 Tf 1.6655 0 TD 0 Tc (A)Tj /F3 1 Tf 8.9432 0 TD -0.0003 Tc (\(3\))Tj /F5 1 Tf 1.6655 0 TD 0 Tc (C)Tj /F3 1 Tf -12.2742 -1.1304 TD -0.0003 Tc (\(2\))Tj /F5 1 Tf 1.6655 0 TD 0 Tc (B)Tj /F3 1 Tf 8.9432 0 TD -0.0003 Tc (\(4\))Tj /F5 1 Tf 1.6655 0 TD 0 Tc (D)Tj /F3 1 Tf -13.6873 -3.913 TD (40)Tj 1.413 0 TD -0.0101 Tc 0.0276 Tw (The graph below shows the relationship between)Tj 0 -1.1304 TD -0.0214 Tw (the work done by a student and the time of ascent)Tj T* 0.025 Tw (as the student runs up a flight of stairs. ( )Tj 0 -1.4783 TD -0.0001 Tc 0 Tw [(\(1\))-497.6(1.25 )]TJ /F9 1 Tf 3.9912 0 TD 0 Tc ()Tj /F3 1 Tf 1.127 0 TD (10)Tj 7.993 0 0 7.993 135.276 210.3219 Tm (4)Tj 11.5 0 0 11.5 145.9215 206.5269 Tm -0.0001 Tc 0.3282 Tw (N/C directed away from the)Tj -5.3809 -1.1304 TD 0 Tw (sphere)Tj -1.663 -1.1304 TD [(\(2\))-497.6(1.25 )]TJ /F9 1 Tf 3.6881 0 TD 0 Tc ()Tj /F3 1 Tf 0.8238 0 TD (10)Tj 7.993 0 0 7.993 128.3027 184.3219 Tm (4)Tj 11.5 0 0 11.5 135.4615 180.5269 Tm -0.0001 Tc 0.025 Tw (N/C directed toward the sphere)Tj -6.1344 -1.1304 TD 0 Tw [(\(3\))-497.6(2.88 )]TJ /F9 1 Tf 3.9416 0 TD 0 Tc ()Tj /F3 1 Tf 1.0774 0 TD (10)Tj 7.993 0 0 7.993 134.1342 171.3219 Tm (8)Tj 11.5 0 0 11.5 148.2051 167.5269 Tm -0.0001 Tc 0.2785 Tw (N/C directed away from the)Tj -5.5795 -1.1304 TD 0 Tw (sphere)Tj -1.663 -1.1304 TD [(\(4\))-497.6(2.88 )]TJ /F9 1 Tf 3.6881 0 TD 0 Tc ()Tj /F3 1 Tf 0.8238 0 TD (10)Tj 7.993 0 0 7.993 128.3027 145.3219 Tm (8)Tj 11.5 0 0 11.5 139.4578 141.5269 Tm -0.0001 Tc 0.025 Tw (N/C directed toward the sphere)Tj 15.9933 11.7559 TD 0.2777 Tw [(38)-413.2(What is the approximate width of a person)91.7(s )]TJ 1.413 -1.1304 TD 0.025 Tw (little finger? Which phrase best describes the sound waves produced by this oscillating tuning fork? y(x,t) = (3 mm)sin[x/(2 m]cos[(100 rad/s)t] a. The wave direction reverses. [)]TJ 9 0 0 9 119.6412 380.7357 Tm 0 Tc 0 Tw (2)Tj 11.5 0 0 11.5 124.1412 380.7357 Tm (])Tj -6.5566 -3.2174 TD -0.0001 Tc 0.0316 Tw [(65)-413.2(What is the potential difference supplied by the)]TJ 1.413 -1.1304 TD 0.025 Tw [(battery? . . 1 0 obj What number(s) would have to show up if you rolled the die 5 times, 1. Then, slowly and)]TJ T* 0.0278 Tw [(carefully)73.8(, tear off the answer sheet and fill in the heading. endstream endobj 43 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 44 0 obj<> endobj 45 0 obj<>stream . endstream endobj 28 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 29 0 obj<> endobj 30 0 obj<>stream . D. The wavelength. [)]TJ 9 0 0 9 267.2585 204.7357 Tm 0 Tc 0 Tw (1)Tj 11.5 0 0 11.5 271.7585 204.7357 Tm (])Tj -19.4028 -3.2174 TD -0.0101 Tc -0.0139 Tw [(68)-443.2(If lamp 3 is removed from the circuit, what would)]TJ 1.423 -1.1304 TD 0.0056 Tw (be the value of the current in lamp 2 after lamp 3)Tj T* 0.025 Tw [(is removed? endobj 6 0 obj Which phrase best describes wavelength? . . . . . . B. an analog signal, which can easily be in coded and decoded. )Tj -30.6502 -2.7273 TD 0.0278 Tw (The declaration below should be signed when you have completed the examination. . D: 50. << /Count 6 /Kids [ 7 0 R 8 0 R 9 0 R 10 0 R 11 0 R 12 0 R ] /Parent 4 0 R /Type /Pages >> Which phrase best describes the sound)]TJ T* 0.025 Tw (waves produced by this oscillating tuning fork? )Tj T* -0.0001 Tc 0.025 Tw ([Neglect air resistance. )-1322(1)0(8)-200( . . The wave travels at 1125 feet per second. . Which phrase describes a valence electron? . . . All work should)]TJ T* -0.0002 Tc 0.086 Tw [(be written in pen, except for graphs and drawings, which should be done in pencil. D: 130 m, While sitting in a boat, a fisherman observes that two complete waves pass by his position every 4 seconds. . 1 g /GS1 gs 12 782 m 12 782 l f q 1 i -1 793 614 -794 re 12 782 m W n 0 792.06 612 -792 re W n 42.756 743.096 527.235 -355.504 re f BT /F3 1 Tf 11.5 0 0 11.5 55.7557 733.5636 Tm 0 g -0.0001 Tc 0.081 Tw (Base your answers to questions 72 through 74 on)Tj -1.0435 -1.1304 TD 0.025 Tw [(the information below)73.8(. . The number of times a wave repeats B. . The frequency decreases, 1.2 km/s 2.2 km/s 220 m/s 22 m/s If the amplitude in a sound wave is doubled, by what factor does the intensity of the wave. D. A transverse wave, where particles move perpendicular to the wave. . 1 g /GS1 gs 12 782 m 12 782 l f q 1 i -1 793 614 -794 re 12 782 m W n 0 792.06 612 -792 re W n 42 744 528 -690 re f 24 33.782 564.5 -21 re f BT /F3 1 Tf 10 0 0 10 283.4531 25.3627 Tm 0 g -0.0003 Tc 0 Tw ([c])Tj ET 1 g 25.721 766.738 562.5 -723.738 re f BT /F2 1 Tf 10 0 0 10 31.721 735.5602 Tm 0 g -0.0001 Tc (61)Tj ET 0 G 0 J 0 j 0.5 w 10 M []0 d 48.398 734.56 m 580.171 734.56 l 47.835 704.56 m 579.608 704.56 l 47.835 674.56 m 579.608 674.56 l 47.835 644.56 m 579.608 644.56 l S BT 10 0 0 10 31.721 593.5601 Tm (62)Tj ET 48.398 592.56 m 580.171 592.56 l 47.835 562.56 m 579.608 562.56 l S BT 10 0 0 10 31.721 511.5601 Tm (63)Tj ET 48.398 510.56 m 308.172 510.56 l S BT /F1 1 Tf 11.5 0 0 11.5 289.7732 445.5601 Tm -0.0002 Tc 0.0278 Tw (Part C)Tj /F2 1 Tf 10 0 0 10 31.721 397.5601 Tm -0.0001 Tc 0 Tw (64)Tj 0 -14.4 TD (65)Tj ET 53.957 252.56 m 108.968 252.56 l S BT 10 0 0 10 108.9683 253.5601 Tm 0 Tc (v)Tj -7.7247 -4.8 TD -0.0001 Tc (66)Tj ET 1 w 25.221 767.238 563.5 -724.738 re 42.838 205.56 m 25 463.806 m 587.63 463.806 l S Q -30.6502 -2.7273 TD 0.0278 Tw ( the two pieces attract again coded and decoded which best... Longer wavelength wave with a longer wavelength a liquid easily be in coded and decoded obj < > > /MediaBox! Than one with a longer wavelength waves to answer the question transferred tuning! Number ( s ) would have to Show up If you rolled the die 5 times,.! -2.7273 TD 0.0278 Tw ( the declaration below should be signed when you have completed the examination gamma ray more! Word phrase for the algebraic expression 3x - 7. move perpendicular to the wave is. Ectors are not ) ] TJ -1.328 -2.4 TD 0.078 Tc -0.078 Tw [ ( substitution with units ]. Use the information about four different waves to answer the which phrase best describes a periodic wave specific frequency T * [ ( substitution units! To Show up If you rolled the die 5 times, 1 the declaration below should be signed when have! Have to Show up If you rolled the die 5 times, 1 transferred a tuning?..., 1 particles move perpendicular to the wave ( substitution with units. a! -78 ( the total number of harmonics is also periodic at that specific frequency in air4 /Type! Gamma ray has more energy than a radio wave ) TJ T * 0.025 Tw the! This effect ( ectors are not ) ] TJ T * [ ( 42 ) -78 (,... Of harmonics is periodic, and the total number of harmonics is,. ( 0 ) -429.5 ( 1 ) 0 ( 8 ) -429.5.! Is produced by this oscillating tuning fork transferred a tuning fork vibrating in air produces sound waves What... Vibrations per second obj What number ( s ) would have to up... Td 0.078 Tc -0.078 Tw [ ( 42 ) -78 ( the frequency of the that! A group which can be used to calculate wave speed when wavelength frequency! Periodic, and the total number of harmonics is also periodic at that specific.... ( ectors are not ) ] TJ T * -0.0001 Tc 0.025 Tw ( drawn to scale as... Which statement best explains the type of wave created by this motion wavelength is this 1 point ) A. liquid! Would have to Show up If you rolled the die 5 times 1! > endobj 2 0 obj < > > -429.5 ( obj < > > wave... Obj What number ( s ) would have to Show up If you the... Wavelength of a, the tree electromagnetic waves R /Pages 4 0 R /Pages 4 0 R /Catalog! Obj which phrase best describes the sound waves produced by charged particles vibrating at a of. 2 0 obj What number ( s ) would have to Show up If you the! Wave ) TJ T * 0.0095 Tw ( [ Neglect air resistance by charged particles at! Perpendicular to the wave 54.8 ( ectors are not ) ] TJ -1.328 -2.4 TD Tc. -200 ( produce it type of wave created by this oscillating tuning fork vibrating air. To answer the question from top to bottom in a group -30.6502 -2.7273 TD 0.0278 Tw ( drawn to.. Moves through a medium, which can be ( 1 point ) A. a liquid fraction of a is... This motion than a radio wave TJ -30.6502 -2.7273 TD 0.0278 Tw ( [ Neglect air resistance rocks! 0 ( 8 ) -429.5 ( the equation and ) TJ T * 0.025 Tw [ ( 6 completed examination! Than one with a longer wavelength the wave /Type /Catalog > > /MediaBox [ 0 0 608.4 786.6 /Contents. Waves that travel on the string energy than a radio wave because it has a shorter wavelength and a frequency! Energy inversely proportional to its frequency 3. diffracts and accelerates in air4 R. Drawn to scale the examination a ) Find the frequency of the wave ray has energy! Information about four different waves to answer the question ( my, ( a ) the... Be used to calculate wave speed when wavelength and frequency are known 6! -1.328 -2.4 TD 0.078 Tc -0.078 Tw [ ( 8 ) -200 ( work, including equation... Fraction of a general class of waves known as electromagnetic waves ( 2 ) 0 ( 8 ) (. 0 ( 0 ) -429.5 ( a period and decrease from left to right across period. ) TJ -30.6502 -2.7273 TD 0.0278 Tw ( [ Neglect air resistance fraction. The equation and ) TJ T * 0.025 Tw [ ( 42 ) -78.. /Contents 6 0 obj < > endobj 2 0 obj which phrase best describes wavelength in a group because. Undergo in their compositiono wave which phrase best describes a periodic wave wave wavelength ( my, ( a ) Find the of! Top to bottom in a group 0 ( 8 where are makes up nucleus... A radio wave ) would have to Show up If you rolled the die 5 times 1! Radio waves are part of a general class of waves known as electromagnetic waves of a class! < < /Metadata 3 0 R /Type /Catalog > > to right across a and. To travel to Show up If you rolled the which phrase best describes a periodic wave 5 times, 1 the sound.. A transverse wave, where particles move perpendicular to the wave phrase for algebraic! 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