1.	A transverse wave travels from left to right. The diagram below shows how, at a particular instant of time, the displacement of particles in the medium varies with position. Which arrow represents the direction of the velocity of the particle marked P?

2.	The graph shows how the displacement varies with time for an object undergoing simple harmonic motion.
		
	Which graph shows how the object’s acceleration a varies with time t?

3.	Light travels from air into glass as shown below.
		
	What is the refractive index of glass?
A.	
B.	
C.	
D.	

4.	Which of the following electromagnetic waves has a frequency greater than that of visible light?
A.	Ultraviolet
B.	Radio
C.	Microwaves
D.	Infrared

 

7.	The graph shows measurements of the height h of sea level at different times t in the Bay of Fundy.

	Which of the following gives the approximate amplitude and period of the tides?

	Amplitude	Period	
A.	6.5 m	6 hours	
B.	13 m	12 hours	
C.	6.5 m	12 hours	
D.	13 m	6 hours	

8.	Two waves meet at a point. The waves have a path difference of . The phase difference between the waves is
A.	 rad.
B.	 rad.
C.	 rad.
D.	π rad.

 
9.	A string vibrates with fundamental frequency f. The wavelength of the sound produced in air is λ. Which of the following correctly gives the frequency of vibration of the fourth harmonic of the string and the wavelength of the sound in air?

	Frequency	Wavelength	
A.			
B.	4 f	4λ	
C.		4λ	
D.	4 f		

11.	Which of the following is a value of wavelength that is found in the visible region of the electromagnetic spectrum?
A.	4 × 10–5 m
B.	4 × 10–7 m
C.	4 × 10–9 m
D.	4 × 10–11 m

12.	Two waves meet at a point in space. Which of the following properties always add together?
A.	Displacement
B.	Amplitude
C.	Speed
D.	Frequency

13.	This question is about water wave motion.
	A small sphere, mounted at the end of a vertical rod, dips below the surface of shallow water in a tray. The sphere is driven vertically up and down by a motor attached to the rod.
The oscillations of the sphere produce travelling waves on the surface of the water.
		
(a)	The diagram shows how the displacement of the water surface at a particular instant in time varies with distance from the sphere. The period of oscillation of the sphere is 0.027 s.

 	Use the diagram to calculate, for the wave,
(i)	the amplitude.

(ii)	the wavelength.

(iii)	the frequency.

(iv)	the speed.

(b)	The wave moves from region A into a region B of shallower water. The waves move more slowly in region B. The diagram (not to scale) shows some of the wavefronts in region A.

(i)	With reference to a wave, distinguish between a ray and a wavefront.

(ii)	The angle between the wavefronts and the interface in region A is 60°. The refractive index AnB is 1.4.
	Determine the angle between the wavefronts and the interface in region B.

(iii)	On the diagram above, construct three lines to show the position of three wavefronts in region B.
(2)

(c)	Another sphere is dipped into the water. The spheres oscillate in phase. The diagram shows some lines in region A along which the disturbance of the water surface is a minimum.

(i)	Describe how and where the regions of minimum disturbance occur on the surface.