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. 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.

3. 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?

4. 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?

5. 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 ?

6. 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.

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 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?

9. Monochromatic light falls on a diffraction grating and a diffraction pattern is formed on a screen. A wider beam of light is used so that more slits of the same diffraction grating produce the interference pattern. Which one of the following is correct in terms of intensity and width of primary maxima?

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

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

12. A parallel beam of light with a wavelength of $500nm$ passes through a narrow slit with a slit width of $2\mu m$. The angle of diffraction for the first minimum is θ. What is the new angle of diffraction for the first minimum when the slit width is changed to $4\mu m$ and the wavelength of the light is now $250nm$?

13. 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 $2x$?

I. The angular frequency of the oscillation will be less.
II. Total energy of the object will be greater.
III. The average speed of the object will not change.

14. 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??

15. The bob on a conical pendulum is rotated at constant speed such that it describes a horizontal circle of diameter 15$cm$. A lamp is placed so that the shadow of the bob projected on a screen describes simple harmonic motion. What is the displacement of the shadow after the bob has traveled a total distance of 30$\pi$ cm?

16. Three monochromatic light sources, $K$, $L$, and $N$, are incident on a single slit separately. The diagram shows obtained diffraction patterns on the screens for each light source along with the relative widths of their central maxima.

In which option are the possible colors of the light sources given correctly?

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

18. 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?

19. 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?

20. 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?

21. For an object undergoing simple harmonic oscillation, the graphs show the variation of two quantities for the object with time $t$.

Which two quantities could be represented by these graphs?

22. In a single slit diffraction experiment, incident light passes through an aperture and a diffraction pattern is observed on a distant screen. $X$ is a point on the screen between the second-order minimum and the first-order minimum. $Y$ is a point at the centre of the principal maximum.

Which one of the following could be the ratio of the intensity of light on X to the intensity of light on $Y$?

23. 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.

24. A mass-spring system has a period of T0​. Another mass-spring system has a mass twice as large with a spring that requires four times as much force to obtain the same extension as the first system.

What is the new period in terms of T0​?

25. A monochromatic beam of light is incident on a double slit arrangement where the slit separation is 9.0×10^−5 m 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?