Mechanical Waves

Front 1

Four traveling waves are described by the following equations, where all quantities are measured in SI units and y represents the displacement.
I: y = 0.12 cos(3x ‐ 21t)
II: y = 0.15 sin(6x + 42t)
III: y = 0.13 cos(6x + 21t)
IV: y=‐0.27sin(3x‐42t)
Which of these waves have the same period?

Back 1

I and III, and
II and IV

Front 2

Four traveling waves are described by the following equations, where all quantities are measured in SI units and y represents the displacement.
I: y = 0.12 cos(3x + 2t)
II: y = 0.15 sin(6x - 3t)
III: y=0.23cos(3x+6t) IV: y = ‐0.29 sin(1.5x - t)
Which of these waves have the same speed?

Back 2

I and IV

Front 3

For the wave shown in the figure, the wavelength is

Back 3

unable to be determined from the given information.

Front 4

For the wave shown in the figure, the frequency is

Back 4

0.5 Hz.

Front 5

The figure shows the displacement y of a traveling wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. Determine the wavelength of the wave.

Back 5

3.0 m

Front 6

The figure shows the displacement y of a wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. Determine the frequency
of the wave.

Back 6

0.25 Hz

Front 7

When a weight W is hanging from a light vertical string, the speed of pulses on the string is V. If a second weight W is added without stretching the string, the speed of pulses on this string will now become

Back 7

root (2) V

Front 8

You are generating traveling waves on a stretched string by wiggling one end. If you suddenly begin to wiggle more rapidly without appreciably affecting the tension, you will cause the waves
to move down the string

Back 8

at the same speed as before

Front 9

n the figure, which of the curves best represents the variation of wave speed as a function of tension for transverse waves on a stretched string?

Back 9

B

Front 10

A transverse wave traveling along a string transports energy at a rate r. If we want to double this rate, we could

Back 10

increase the amplitude by a factor of  root (2)

Front 11

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thinner and lighter. What is the orientation of the reflected and transmitted pulses?

Back 11

Both pulses are right side up

Front 12

For a transverse wave on a string the string displacement is described by
y(x,t)=f(x-at) where f is a given function and a is a positive constant.Which of the following does NOT necessarily follow from this statement?

Back 12

The speed of the waveform is x/t

Front 13

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

Back 13

D

Front 14

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

Back 14

A

Front 15

In the diagram below, the interval PQ represents

Back 15

period/2

Front 16

Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave. The correct relationship is:

Back 16

f = 1/T

Front 17

Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave. The angular frequency is given by

Back 17

2π/T

Front 18

The displacement of a string is given by
y(x,t) = y(m)sin(kx + ωt).

Back 18

2π/k

Front 19

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


Back 19

y1= i
y2 = ii
y3 = iii

Front 20

The displacement of a string is given by y(x,t)=ymsin(kx+ωt).
The speed of the wave is

Back 20

ω/k

Front 21

A wave is described by y(x,t) =0.1sin(3x+10t), where x is in meters, y is in centimetres and t is in seconds. The wavelength is

Back 21

2π/3 m

Front 22

A wave is described by y(x,t)=0.1sin(3x+10t), where x is in meter, y is in centimetres and t is in seconds. The frequency is

Back 22

5/π Hz

Front 23

Water waves in the sea are observed to have a wavelength of 300 m and a frequency of 0.07 Hz. The velocity of these waves is:

Back 23

21 m/s

Front 24

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:

Back 24

0.25 s

Front 25


A traveling sinusoidal wave is shown below. At which point is the motion 180° out of phase with the motion at point P?

Back 25

C