1.

A sinusoidal wave is traveling toward the right as shown. Which letter correctly labels the amplitude of the wave?

 A. A
 B. B
 C. C
 D. D
 E. E

2. Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave. The correct relationship is:
 A. f = 1/T
 B. f = v + T
 C. f = vT
 D. f = v/T
 E. f = T/v

3.

Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves are y1(x,t) = ymsin(3x – 6t), y2(x,t) = ymsin(4x – 8t), and y3(x,t) = ymsin(6x – 12t), where x is in meters and t is in seconds. Match each mathematical form to the appropriate graph below.

 A. y1: i, y2: ii, y3: iii
 B. y1: iii, y2: ii, y3: i
 C. y1:i, y2: iii, y3: ii
 D. y1: ii, y2: i, y3: iii
 E. y1: iii, y2: i, y3: ii

4. The displacement of a string is given by

y(x,t) = ymsin(kx + ωt).

The speed of the wave is:
 A. 2πk/ω
 B. ω/k
 C. ωk
 D. 2π/k
 E. k/2π

5. A wave is described by y(x,t) = 0.1 sin(3x + 10t), where x is in meters, y is in centimeters and t is in seconds. The wavelength is:
 A. 6π m
 B. 3π m
 C. 2π/3 m
 D. π/3 m
 E. 0.1 cm

6. Sinusoidal water waves are generated in a large ripple tank. The waves travel at 20 cm/s and their adjacent crests are 5.0 cm apart. The time required for each new whole cycle to be generated is:
 A. 100 s
 B. 4.0 s
 C. 2.0 s
 D. 0.5 s
 E. 0.25 s

7.

The transverse wave shown is traveling from left to right in a medium. The direction of the instantaneous velocity of the medium at point P is:

 A. up
 B. down
 C. left
 D. right
 E. no direction since v = 0

8. Two identical but separate strings, with the same tension, carry sinusoidal waves with the same frequency. Wave A has an amplitude that is twice that of wave B and transmits energy at a rate that is __________ that of wave B.
 A. half
 B. twice
 C. one-fourth
 D. four times
 E. eight times

9. Two sinusoidal waves have the same angular frequency, the same amplitude ym, and travel in the same direction in the same medium. If they differ in phase by 50°, the amplitude of the resultant wave is given by
 A. ymcos 50°
 B. 2ymcos 50°
 C. ymcos 25°
 D. 2ymcos 25°
 E. 2ymcos 100°

10. Two identical but separate strings, with the same tension, carry sinusoidal waves with the same amplitude. Wave A has a frequency that is twice that of wave B and transmits energy at a rate that is __________ that of wave B.
 A. half
 B. twice
 C. one-fourth
 D. four times
 E. eight times

11. A standing wave:
 A. can be constructed from two similar waves traveling in opposite directions
 B. must be transverse
 C. must be longitudinal
 D. has motionless points that are closer than half a wavelength
 E. has a wave velocity that differs by a factor of two from what it would be for a traveling wave

12. Two traveling waves y1 = A sin[k(xvt)] and y2 = A sin[k(x + vt)] are superposed on the same string. The distance between the adjacent nodes is: (typo: p = pi)
 A. vt/π
 B. vt/2π
 C. π/2k
 D. π/k
 E. 2π/k

13.

The displacement of a string carrying a traveling sinusoidal wave is given by

 y(x,t) = ymsin(kx – ωt – f ).

At time t = 0 the point at x = 0 has a velocity of 0 and a positive displacement. The phase constant f is:

 A. 45°
 B. 90°
 C. 135°
 D. 180°
 E. 270°

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