Rank the waves represented by the following functions from the largest to the smallestaccording to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) theirperiods, and (v) their speeds. If the values of a quantity are equal for two waves, show themas having equal rank. For all functions, x and y are in meters and t is in seconds.(a) y = 4 sin (3x - 15t); (b) y = 6 cos (3x + 15t - 2); (c) y = 8 sin (2x + 15t);(d) y = 8 cos (4x + 20t); (e) y = 7 sin (6x + 24t)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 10PQ
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Rank the waves represented by the following functions from the largest to the smallest
according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their
periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them
as having equal rank. For all functions, x and y are in meters and t is in seconds.
(a) y = 4 sin (3x - 15t); (b) y = 6 cos (3x + 15t - 2); (c) y = 8 sin (2x + 15t);
(d) y = 8 cos (4x + 20t); (e) y = 7 sin (6x + 24t)

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