The following incorrect equation is supposed to describe a wave propagating in a lossy medium: U(x, t) = Aeaz sin(wt – kx) (v). Choose the correct format from the below choices if exists: Select one or more: a. v(z, 1) = 5e-0.05z sin(4n * 10°t – 20xy + 20°) (v). O b. v(y, t) = 7.5e-0.89y sin(47 * 10°t – 20y) (v). O c. U(y, t) = 9e-0.25y sin(4 * 10°t – 20y + 20°) (A). O d. v(x, t) = e-0.89x sin(47 * 10°t – 20x) (v). O e. v(z, 1) = 5e-0.58z sin(4n * 10°t – 20xz) (v). O f. v(z, 1) = 5.5e0.25% sin(4n * 10°t – 20rz – 20°) (v). - g. U(y, t) = 0.55e-0.003z sin(47 * 10°t – 20zy + 20°) (v). O h. v(x, t) = 5e0.25x sin(4n * 10°t - 207x) (v). O i. v(x, 1) = 5e-0.03x sin(4 * 10°t – 20x) (v).

Ex. 28 The equation of a simple harmonic progressive wave on a stretched string is y = sin T (20. t- 2x) where all the quantities are in S.I. units.

WS19 (rev. 2.5) Page 71 19. Waves Problems 1. The equation of a certain wave on a string is given by y(x,t) = 0.1 sin{2r(x - 10t)} with x and y in meters, andt in seconds. Which way is the wave moving, to the left or to the right? How do you know? (b) What is the wavelength of the wave? frequency? phase speed? (c) If the string has a mass per unit length of 0.1 kg/m, what is the tension in the string? (d) What is the maximum transverse velocity of the string (that is, the maximum vertical velocity of particles in the cord)? [Ans: (b) 1 m; 10 Hz; 10 m/s; (c) 10 N; (d) 2n m/s] (a) bow do