NEET Oscillations PYQ practice sheet

12 previous-year NEET Physics questions from Oscillations, newest papers first. Oscillations carries 14 of the Physics questions in NEET 2020 to 2026, so this is a good place to test yourself after revising the chapter. Marking: +4 correct, −1 wrong.

1. 1.

   RE-NEET 2026

   A cylindrical cork of uniform density floats in a liquid of density $\rho_1$. If the cork is depressed slightly and released, it oscillates harmonically with time period $T$. If the same cork floats in another liquid of density $\rho_2$, then the similar oscillation has time period $2T$. The value of $\rho_2 / \rho_1$ is:

   • (A)
     $1/4$
   • (B)
     $1/2$
   • (C)
     $2$
   • (D)
     $4$
2. 2.

   RE-NEET 2026

   Consider a spring-mass simple harmonic oscillator in one dimension. The mass of the particle is $m$ kg and the spring constant is $k\ \mathrm{Nm^{-1}}$. At a given instant, the extension of the spring is $x$-meter and the speed of the particle is $v\ \mathrm{ms^{-1}}$. On the $x$-$v$ plane, if the graph of $v$ as a function of $x$ is a circle, then the correct option is:

   • (A)
     $k = \sqrt{m}$
   • (B)
     $k = m^2$
   • (C)
     $k = m$
   • (D)
     $k = \frac{1}{m}$
3. 3.

   NEET 2026

   For a simple pendulum, having time period $T$, the variation of kinetic energy (K.E.) with time ($t$) is represented by:

   • (A)
     
   • (B)
     
   • (C)
     
   • (D)
     
4. 4.

   NEET 2026

   The sum of kinetic energy and potential energy of a simple pendulum bob is 0.02 joule. The speed of the simple pendulum bob at equilibrium position is approximately: (Consider mass of the bob = 20 g)

   • (A)
     1.41 m/s
   • (B)
     0.2 m/s
   • (C)
     14.1 m/s
   • (D)
     2.0 m/s
5. 5.

   NEET 2026

   Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum $L$, notes down the data of time taken to complete 30 oscillations as 60 s and hence calculates the length of the simple pendulum as: (Take $\pi^2=9.8$, and $g=9.8\ \text{m s}^{-2}$)

   • (A)
     1 m
   • (B)
     0.75 m
   • (C)
     1.5 m
   • (D)
     2 m
6. 6.

   NEET 2024

   If $x=5\sin\left(\pi t+\dfrac{\pi}{3}\right)\ \text{m}$ represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are:

   • (A)
     5 m, 2 s
   • (B)
     5 cm, 2 s
   • (C)
     5 cm, 1 s
   • (D)
     5 m, 1 s
7. 7.

   NEET 2024

   If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is $\dfrac{x}{2}$ times its original time period. Then the value of $x$ is:

   • (A)
     $\sqrt3$
   • (B)
     4
   • (C)
     $2\sqrt3$
   • (D)
     $\sqrt2$
8. 8.

   NEET 2023

   The $x$-$t$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $t = 2\ \mathrm{s}$ is : Graph (described): A sinusoidal curve starting at $x = 0$ at $t = 0$, rising to a maximum $x = +1\ \mathrm{m}$ at $t = 2\ \mathrm{s}$, crossing zero at $t = 4\ \mathrm{s}$, reaching a minimum $x = -1\ \mathrm{m}$ at $t = 6\ \mathrm{s}$ and returning to zero at $t = 8\ \mathrm{s}$.

   • (A)
     $-\dfrac{\pi^2}{16}\ \mathrm{m\,s^{-2}}$
   • (B)
     $\dfrac{\pi^2}{8}\ \mathrm{m\,s^{-2}}$
   • (C)
     $-\dfrac{\pi^2}{8}\ \mathrm{m\,s^{-2}}$
   • (D)
     $\dfrac{\pi^2}{16}\ \mathrm{m\,s^{-2}}$
9. 9.

   NEET 2022

   Two pendulums of length 121 cm and 100 cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is:

   • (A)
     8
   • (B)
     11
   • (C)
     9
   • (D)
     10
10. 10.

    NEET 2021

    A spring is stretched by $5\ \mathrm{cm}$ by a force $10\ \mathrm{N}$. The time period of the oscillations when a mass of $2\ \mathrm{kg}$ is suspended by it is :

    • (A)
      $0.0628\ \mathrm{s}$
    • (B)
      $3.14\ \mathrm{s}$
    • (C)
      $6.28\ \mathrm{s}$
    • (D)
      $0.628\ \mathrm{s}$
11. 11.

    NEET 2021

    A body is executing simple harmonic motion with frequency $n$, the frequency of its potential energy is :

    • (A)
      $2n$
    • (B)
      $4n$
    • (C)
      $n$
    • (D)
      $3n$
12. 12.

    NEET 2020

    The phase difference between displacement and acceleration of a particle in a simple harmonic motion is :

    • (A)
      $\pi$ rad
    • (B)
      $\frac{3\pi}{2}$ rad
    • (C)
      $\frac{\pi}{2}$ rad
    • (D)
      zero