1. [1pt] From the mathematical functions in the list below, select those which c

Question

1. [1pt]
From the mathematical functions in the list below, 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(2x)sin(6t)

B) y(x,t) = 0.4 cos(12t+4x)

C) y(x,t) = 0.2 sin(3x9t)

D) y(x,t) = 0.2 cos(3x)sin(2t/3)

E) y(x,t) = 0.8/(2+(3x+9t)2)

F) y(x,t) = 0.4 sin(2x)cos(6t)0.8 sin(x)cos(x)cos(6t)

G) y(x,t) = 0.4/(1+(x3t)2)

H) y(x,t) = 0.4 sin(2x)cos(2t/6)

N) none of the above

1) A harmonic wave or wave pulse travelling to the left at 3 m/s.

2) A motion in which the medium is stationary at all positions and for all times.

3) A motion in which the movement of the medium corresponds to a wavelength of 1 m.

4) A standing wave that causes the medium to oscillate with a standard frequency of 3 Hz.

5) A harmonic travelling wave with a period of 3 seconds.

Frou ulie aalul iatieal functions in ulie list te Low, select those which currespond eacla er Llue five uutioas te W. For e auple, if functions A aud G salisr, ureu on 1, Tuac Lica C satisfies ux ui on 2 and none of the functions satisfies ons 3, 4 and 5. enter AGCNNN. Note that the answers for each Tation rust he in alphabetical order. 2 cos (12 2 a n 2 m r sin (5x 3 cos G 4 sin (2 s cos (6 0, 8 sin cos cos (6 n t) Nt of above l A harmonic wave r wave pulse travelling to the right at 3 n/s. 2 A notion in which The moverent cf the mediuri corresponds to a wavelength of 3 A uo n vbish the uediulu bas wavenuuber of 3 u 1. 4 A motion in which the medium at x ri is fixed, i.e. it is unable to move. 3 A uovi ti in vbi h he liedjuu is suatiorary al. victls and r r a w nas.

Explanation / Answer

1)

B) y(x,t) = 0.4 cos(12t+4x)

2)

F) y(x,t) = 0.4 sin(2x)cos(6t)0.8 sin(x)cos(x)cos(6t)

3)

H) y(x,t) = 0.4 sin(2x)cos(2t/6)

4)

D) y(x,t) = 0.2 cos(3x)sin(2t/3)

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