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Phase difference

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

The diagram shows two sinusoidal waveforms.

At time t = 0 the waves are in phase. At the dotted line, t = 18 s.


At which time is the phase difference between the two oscillations ⅛ of a cycle?

a)

8.0s

b)

4.5s

c)

4.0s

d)

9.0s

2.

A signal has a frequency of 2.0 MHz.What is the period of the signal?

a)

5μs

b)

200ns

c)

500ns

d)

2μs

3.

A displacement-time graph for a transverse wave is shown in the diagram.

The phase difference between X and Y can be expressed as nπ.

What is the value of n?

a)

3.0

b)

1.5

c)

2.5

d)

6.0

4.

The frequency of a certain wave is 500 Hz and its speed is 340 ms–1.What is the phase difference between the motions of two points on the wave 0.17 m apart?

a)

π rad

b)

π/4 rad

c)

π/2 rad

d)

3π/4 rad

5.

Noise reduction headphones actively produce their own sound waves in order to cancel out external sound waves.


A microphone in the headphones receives waves of one frequency. A loudspeaker in the headphones then produces a wave of that frequency but of a different phase.


What is the phase difference between the external sound wave and the wave produced by the loudspeaker in the headphones?

a)

360°

b)

180°

c)

90°

d)

270°

6.

What is the phase difference between two points 30cm apart if the wavelength is 1.5m?

a)

1.26 rad

b)

126 rad

c)

1.25663 rad

d)

31 rad

7.

What is the phase difference between points O and D?

a)

zero

b)

c)

π

d)

π/2

8.

If the path difference between B and C is 8nm, what is the wavelength?

(a)  

9.

A wave is displaced forward by +6 radians from O. Select which two points are closest to it

a)

F

b)

B

c)

C

d)

D

e)

E

10.

Describe the difference between longitudinal and transverse waves.

4 lines