1. 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.

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. 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.

4. A student carried out an experiment using a laser beam incident on double slits with negligible widths. An interference pattern is observed on a distant screen.

Which of the following is correct for the pattern observed on the screen when the slits of non-negligible widths are used with the same slit separation?

I. It is modulated with the single slit diffraction effect
II. Central maximum is brighter
III. Fringe spacing is larger

5. A beam of parallel light with a wavelength of λ is incident on a narrow slit. A diffraction pattern is formed on a distant screen. The angle of diffraction between the central maximum and the first minimum is θ. What would be the angle of the first diffraction minimum for the light with a wavelength of 3λ?

6. 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?

7. 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?

8. 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

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

10. 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 $Y$?

11. 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​?

12. 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 $3M$?

13. 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?

14. Light of wavelength λ1​ and λ2​ is incident on a diffraction grating with the slit spacing of $d$. A series of bright lines are formed on a screen.

What is the ratio sin θ1 /sin θ2 ​ ?

15. 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?

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

17. 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?

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. 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 ?

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 $50cm$ 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 ms^−1

What is the frequency of oscillation?

23. 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?

24. 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?

25. 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?