1. A wave is incident on a boundary between two media, $X$ and $Y$. The wave travels faster in medium $Y$ than in medium $X$

Which of the following diagrams shows a possible path for this wave?

A.				B.
C.				D.

2. A fire truck’s siren emits a frequency of f0​. Starting from rest, it moves with constant acceleration and passes a stationary observer at t=to​. Which graph shows the variation of observed frequency f by the stationary observer with time?

A.			B.
C.			D.

3. Incident light of wavelength $600nm$ is emitted towards two slits separated by $1\mu m$. The interference pattern is observed on a wall. The distance between two adjacent maxima is $1.2m$. What is the distance of the wall from the slits?

4. A $50cm$ string that is fixed at both ends produces a standing wave in the third harmonic. The speed of the wave on the string is 200 m s^−1

What is the frequency of oscillation?

5. A train is traveling at 30ms^−1 towards a stationary observer. It sounds a horn of frequency $450Hz$.

Which of the following statements is true about the observed frequency compared with the emitted frequency as the train approaches?

6. A vibration generator with a frequency of $5Hz$ produces a travelling wave in a string. The graph shows how displacement of particles in the string varies with the distance from the source.

What is the wavelength and the speed of the wave?

7. A simple pendulum undergoes simple harmonic motion. The graph shows the variation of a quantity $y$ with horizontal displacement $x$ from the equilibrium position.

Which of the following quantities could be represented by quantity $y$?

8. A mass-spring system rests on a frictionless surface. The mass is pulled to the right and released from a point $X$ at $t=0s$.

The mass executes simple harmonic motion between the points $X$ and $Y$. The mass reaches point Y for the first time at t=6s. Which of the following correctly shows directions of velocity and acceleration of the mass at t=10s?

9. A traveling wave is generated on a string tied to a speaker as shown.

Which of the following statements are correct about the travelling wave?

• I.	If the frequency of the sound decreases, the wavelength of the travelling wave increases.
  II.	If the speaker emits a louder sound the amplitude of the travelling wave increases.
  III.	If the frequency of the sound increases, the travelling wave moves along the string faster.

10. A monochromatic beam of light is incident on a double slit arrangement where the slit separation is 9.0×10^−5m and the slit-screen distance is 1.0m. The graph below shows the relative intensity of the light reaching the screen with respect to the distance from the central point of the pattern.

What is the wavelength of the light?

11. The graph below shows the variation with displacement $x$ of the acceleration $a$ from the equilibrium position of a particle that undergoes simple harmonic motion.

The magnitude of the slope of the graph is directly proportional to

12. A particle performs simple harmonic motion with a frequency of $0.05Hz$. The distance traveled by the particle in one complete oscillation is $16cm$. Which of the following graphs shows a correct variation of its position?

A.			B.
C.			D.

13. For a wave traveling in a medium, the variation of the particles' displacement with distance travelled is shown in the following graphs, which represent the wave at different moments in time of a wave travelling to the right.

Graph I shows the wave at t=0 s, while graph II is at t=1s.

The time difference between the two graphs is less than the wave's period.

Graph I

Graph II

What is the wave speed?

14. A wave travels on a rope as shown, where $P$ is a point on the rope halfway between the equilibrium position and the maximum displacement.

Which is correct about the direction and magnitude of the velocity of point $P$ after half a period compared to the shown position?

15. Water drips onto a pond every 3.0 seconds. The speed of water waves in the pond has been measured to be 1.2m s^−1. What is the wavelength of the water waves generated because of the drops?

16. A traveling source produces sound waves nearby a child. The wavefronts of the sound waves and the position of a child are seen in the figure below.

The frequency of the generated sound waves is $f$. Which of the following is correct for both the direction of motion of the source and the observed frequency of the sound waves by the child?

17. A speaker produces a sound near a pipe that is closed at one end by a movable piston. The piston is moved in the shown direction until a sound is first heard from the pipe. At this time, the length of the part of the tube near the speaker is $L$.

What is the distance moved by the piston to hear the next resonant sound from the pipe?

18. Wavefronts travel across a boundary between two media as shown.

Which of the following correctly describes the change, if any, in the speed, wavelength and frequency of the waves as they pass from across the boundary?

19. A mass $M$ hangs in equilibrium on a spring. The mass is pulled down 10 $cm$ below the equilibrium position and released. It oscillates vertically about the equilibrium position, performing simple harmonic motion.

If it takes 0.5 $s$ after release to return to its equilibrium position, which of the following is true for its first oscillation?

20. Two simple pendulums with lengths $16L$ and $9L$ have masses $4M$ and $M$ respectively. The period of the mass of $4M$ is T. What is the period of mass of $3M$?

21. A light source approaches a stationary receiver at an increasing speed. The frequency of the emitted light is constant. Which graph shows how the observed frequency $f$ by receiver varies with the speed v of the light source?

A.			B.
C.			D.

22. A radio with a bright light is placed outside the doorway of long, dark room as shown. A student in a corner near the door can hear the sound of the radio while standing in the dark region of the room.

Which property of waves correctly explains why light does not reach her while the sound does?

23. A student blows across the open end of a narrow cylinder which is closed at the other end. If the length of the cylinder is $15.0cm$ and the speed of sound is 340 ms^−1, What is the frequency of the wave at the third harmonic?

24. A light and a heavy spring are attached at point $Y$. A pulse was generated in the light spring and incident on the heavy spring. The positions of transmitted and reflected pulses after some time are as shown.

Which of the following is true about the incident pulse?

25. A car and a bicycle move in the same direction with speeds of v0​ and $v$ respectively as shown in the diagram below.

The car driver uses the horn to warn the cyclist. The frequencies of the sound heard by the car driver and cyclist are fo​ and $f$ respectively. Which of the following can be correct when f0?

• I.	v0=10 ms^−1 and v=5ms^−1
  II.	v0=5 ms^−1 and v=10ms^−1
  III.	v0=10 ms^−1 and v=10ms^−1