From the mathematical functions in the list below, select those which correspond

Question

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) = 0.4 sin(2x)cos(2t/6)

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

C) y(x,t) = 0.4 sin(x3t)

D) y(x,t) = 0.4

E) y(x,t) = 0.4/(2+(2x6t)2)

F) y(x,t) = 0.2 cos(12t4x+)

G) y(x,t) = 0.2/(1+(x3t)2) - 0.2/(1+(x+3t)2)

H) y(x,t) = 0.8 cos(2x6t+/2)

N) none of the above

1) A motion in which the medium has a wavenumber of 3 m-1.

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

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

Answer:  Last Answer: NCCAD
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Explanation / Answer

There is no function which corresponds to motion 1 so N

There is no function which corresponds to motion 2 so N

Functions A and H both correspond to k = 2*pi that means wavelength 1 and hence corresponds to motion 3 so AH

There is no function which corresponds to motion 4 so N

Function D corresponds to y = constant and hence corresponds to motion 5 so D

Hence it is NNAHND

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