1. 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.

2. A taut string on a guitar is fixed at both ends.

What is [wavelength of fourth harmonic]/[wavelength of second harmonic]​ for the string?

3. 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.

4. 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.

5. 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?

6. A boy tied two identical ropes to a fixed wall for a fitness exercise. He shakes the ropes to form waves.

A point on the right rope oscillates with a period of $0.4s$. A point on the left rope oscillates with a period of $0.2s$.

What is the ratio = [wavelength of right rope]/[wavelength of left rope]​?

7. 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?

8. 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.

9. 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

10. A body performs simple harmonic motion (shm). Which of the following could be the speed against the time graph for one period of motion?

A.				B.
C.				D.

11. 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?

12. 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?

13. Two water waves with the same amplitude are traveling towards each other. The water level against the position graph of a water wave is shown below. The equilibrium water level is $5cm$.

What are the maximum and minimum water levels when the two waves overlap?

14. A microphone is emitting a sound wave with a wavelength of $15m$. Tom is $5m$ further away from the microphone than Mary. What is the phase difference of the sound wave, in radians, between them?

15. 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?

16.  

17. For an open pipe, the frequency of the first harmonic is $f$ and its wavelength is $\lambda$.

For a given harmonic of the same pipe, the ranges of motion of the particles in the pipe are shown below.

Three statements about the standing wave shown in this pipe are

I. The frequency is
II. The wavelength is λ/4
III. The wavelength is less than λ

Which statements are true?

18. 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?

19. An object with a mass of m is connected to a spring on a frictionless horizontal surface.

The object is displaced by $x$ from its equilibrium point $O$ to point $A$ and executes simple harmonic motion with a period of $T$. Which of the following are true if the object is displaced by $2x$?

20. 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?

21. A thin beam of monochromatic blue light is incident upon a single slit barrier. The emerging light then passes through a double slit arrangement and falls on a screen some distance away.

An interference pattern is observed on the screen. In order to increase the distance between adjacent fringes, which of the following actions would be appropriate?

22. 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?

23. 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

Two sources $A$ and $B$ produce waves of amplitude $a$, and period T on the surface of a swimming pool as shown. The wave generator $A$ is turned on at time $t=0$, and $B$ at time t=T/2​. Both generators create a crest when first turned on. The wavefronts shown in the illustration are one wavelength apart each. Determine the amplitude of the oscillation of the medium at point $C$.

25. 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?