Papers by Carlos Hernandez Aquino
Q16.1 As the pulse moves down the string, the particles of the string itself move side to side. S... more Q16.1 As the pulse moves down the string, the particles of the string itself move side to side. Since the medium—here, the string—moves perpendicular to the direction of wave propagation, the wave is transverse by defi nition. Q16.2 To use a slinky to create a longitudinal wave, pull a few coils back and release. For a transverse wave, jostle the end coil side to side. *Q16.3 (i) Look at the coeffi cients of the sine and cosine functions: 2, 4, 6, 8, 8, 7. The ranking is d = e > f > c > b > a. (ii) Look at the coeffi cients of x. Each is the wave number, 2πλ , so the smallest k goes with the largest wavelength. The ranking is d > a = b = c > e > f. (iii) Look at the coeffi cients of t. The absolute value of each is the angular frequency ω = 2πf. The ranking is f > e > a = b = c = d. (iv) Period is the reciprocal of frequency, so the ranking is the reverse of that in part iii: d = c = b = a > e > f. (v) From v = fλ = ωk, we compute the absolute value of the ratio of the coeffi cient of t to the coeffi cient of x in each case. From a to f respectively the numerical speeds are 5, 5, 5, 7.5, 5, 4. The ranking is d > a = b = c = e > f.
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Papers by Carlos Hernandez Aquino