From the mathematical functions (with x is in metres, t in seconds), select those which correspond to each of the five motions below . For example, if functions A and G satisfy motion 1, function C satisfies motion 2 and none of the functions satisfies motions 3, 4 and 5, enter AGCNNN. (Note that the answers for each motion must be in alphabetical order.)
A) y(x,t) = 0.2 sin(3x−9t)
B) y(x,t) = 0.8 cos(2πx−6πt+π/2)
C) y(x,t) = 0.2 cos(3x)sin(2πt/3)
D) y(x,t) = 0.4 cos(x)sin(t/3)
E) y(x,t) = 0.2 sin(2πx)sin(6πt)
F) y(x,t) = 0.4/(2+(2x−6t)2)
G) y(x,t) = 0.4 sin(2x)cos(6πt)−0.8 sin(x)cos(x)cos(6πt)
H) y(x,t) = 0.2/(1+(x−3t)2) -
0.2/(1+(x+3t)2)
N) none of the above
1) A harmonic wave or wave pulse travelling in the positive x
direction at 3 m/s.
2) A motion in which the medium has a wavenumber of 3
m-1.
3) A motion in which the medium at x = 0 m is fixed, i.e., it is
unable to move.
4) A motion in which the movement of the medium corresponds to a
wavelength of 1 m.
5) A harmonic travelling wave with a period of 3 seconds.
From the mathematical functions (with x is in metres, t in seconds), select those which correspond...
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