1. 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?

2. 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 $3M$?

3.  

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

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 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.

7. 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.

8. 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?

9. The graph shows the variation with time $t$ of the displacement $s$ of an object suspended by a spring. At what time is the acceleration in the negative direction at a maximum??

10. 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.

11. 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.

12. 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

13. 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?

14. For a body executing simple harmonic motion, which statement is not possible?

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. 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?

17. 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?

18. 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?

19. 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.

20. 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.

21. 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.

22. 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.

23. 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?

24. 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?

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

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