1. 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?

I. Medium X can be replaced with another medium which has a lower refractive index.
II. Medium X can be replaced with another medium which has a higher refractive index.
III. Medium Y can be replaced with another medium which has a higher refractive index.

2. 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?

3. 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?

4. 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??

5. 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?

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 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?

8. 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?

10. 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?

11. 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 $Y$?

12. A laser beam passes through a narrow slit and incident on a screen. A diffraction pattern is observed on the screen. The variation of intensity $I$ of light on the screen with distance $x$ is seen in the graph below.

Which of the following graphs best represents intensity distribution with distance when the slit is replaced by one of greater width? The original distribution is shown with a dashed line.

A.				B.
C.				D.

13. 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?

14. 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 $t=0s$, 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

15. 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 $k$?

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

17. 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?

18. 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.

19. 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?

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. An object on a horizontal spring performs simple harmonic motion. The position of the object as a function of time is given by x=5 cos⁡(2t).

Which of the following expressions gives the acceleration of this object as a function of time?

22. 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?

23. 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 $3M$?

24. 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?

25. 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.