1. A light ray is incident on a semicircular glass block from the air. The glass has a greater refractive index than air. Which diagram correctly represents a possible path of the light ray as it enters and leaves the block?

A.				B.
C.				D.

2. 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.

3. 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?

4. A simple pendulum executing simple harmonic motion is released from one end and reaches equilibrium position in $2s$. Just after the equilibrium position, the length of the pendulum is reduced to one-fourth of its initial value because of wrapping around a nail.

What is the period of the simple pendulum?

5. A particle undergoes simple harmonic motion. Which of the following can be an expression of acceleration $a$ in terms of displacement $x$ and a constant value k?

6. A string fixed at both ends oscillates in a standing wave as shown with a wavelength of $400mm$.

What is the length of the string?

7. A radio wave of frequency $90MHz$ travels a distance $d$. The number of wavelengths that can fit into this distance is 6000. What is $d$?

8. 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?

9. 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?

10. 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.

11. Below are the graphs of the kinetic and potential energies against displacement $s$ for an object exhibiting simple harmonic motion.

Which of the positions marked on the axis represents the location of maximum speed?

12. Sound waves in water travel approximately 4.5 times faster than in air. Which of the following diagrams correctly shows the wavefronts of sound as they pass from air to water?

A.				B.
C.				D.

13. A mass-spring system executes simple harmonic motion with a period $T$ in a vertical plane. What is the period when the oscillating mass is doubled and the system is brought to a planet where the gravitational field strength at the surface is halved?

14. An object executes simple harmonic motion with an amplitude of x0. Which graph shows the relationship between the kinetic energy Ek and the displacement $x$ from the equilibrium position of the object?

A.			B.
C.			D.

15. 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?

16. 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.

17. 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?

18. 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.

19. 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?

20. Two identical objects $P$ and $Q$ are connected to identical springs. Both P and $Q$ are performing simple harmonic motion (SHM) around equilibrium level $O$.

The diagram shows positions of $P$ and $Q$ at time $t=0$. Which graph shows how kinetic energy of $P$ and Q vary with time t?

A.				B.
C.				D.

21. 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?

22. The diagram shows a beam of light passing from medium $X$ to medium $Y$.

If the angle of incidence of the light increases, which of the following changes can be implemented to keep the angle of refraction the same?

23. 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 $3M$?

24. A geostationary satellite is used for TV broadcasting. It orbits so that its position remains fixed above a receiver on earth. It undergoes circular motion with a speed of $v$ and the emitted frequency for a channel is f. Which of the following is correct?

25. 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?