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Physics - Oscillations

Practise 30 JEE Advanced previous year questions on Oscillations, compiled from papers spanning 2006 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Advanced tests.

Oscillations has been asked in 15 of the 27 years of JEE Advanced papers analysed (2000–2026), with 30 questions in all. 17% of them were easy, 50% moderate and 33% tough. Most of its questions came from 2011, with 5 questions that year. In the last three years (2024–2026) it had 4 questions across 6 papers, about 0.7 per paper.

The chapter's 6 topics are not weighted equally: Simple Harmonic Motion (13 questions, 43%), Energy of Simple Harmonic Motion (8 questions, 27%), and Superposition of S.H.M’s and Resonance (3 questions, 10%) have been asked the most. Simple Harmonic Motion has also led over the last five years, with 3 questions. Simple Harmonic Motion has produced the most tough questions (4).

  1. 1A tank contains two immiscible liquids of densities and . The higher density liquid is filled up to a height from the bottom. A thin rod of 2026 (Paper 1)Angular oscillations
  2. 2The center of a disk of radius and mass is attached to a spring of spring constant , inside a ring of radius as shown in the figure. The oth2025 (Paper 1)Simple Harmonic Motion
  3. 3As shown in the figures, a uniform rod of length is hinged at the point and held in place vertically between two walls using two massless sp2025 (Paper 2)Applications of SHM
  4. 4A block of mass moves along the -direction subject to the force , with the value of in metre. At time , it is at rest at position . The posi2024 (Paper 1)Simple Harmonic Motion
  5. 5Two point-like objects of masses 20 gm and 30 gm are fixed at the two ends of a rigid massless rod of length 10 cm . This system is suspende2023 (Paper 1)Angular oscillations
  6. 6A particle of mass 1 kg is subjected to a force which depends on the position as F = - k x i ^ + y j ^ kg m s - 2 with k = 1 kg s - 2 . At t2022 (Paper 2)Simple Harmonic Motion
  7. 7On a frictionless horizontal plane, a bob of mass m = 0 . 1 kg is attached to a spring with natural length l 0 = 0 . 1 m . The spring consta2022 (Paper 2)Time Period and Frequency
  8. 8Two vectors A a n d B are defined as A = a i ^ a n d B = a cos t i ^ + sin t j ^ , where a is a constant and = 6 r a d s - 1 . If A + B = 3 2018 (Paper 1)Simple Harmonic Motion
  9. 9A spring - block system is resting on a frictionless floor as shown in the figure. The spring constant is 2.0 N m - 1 and the mass of the bl2018 (Paper 1)Energy of Simple Harmonic Motion
  10. 10A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without friction on a horizontal s2016 (Paper 2)Energy of Simple Harmonic Motion
  11. 11Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies ω 1 and ω 2 and have total ener2015 (Paper 1)Energy of Simple Harmonic Motion
  12. 12A particle of mass m is attached to one end of a massless spring of force constant k , lying on a frictionless horizontal plane. The other e2013 (Paper 2)Simple Harmonic Motion
  13. 13A metal rod of length and mass is pivoted at one end. A thin disc of mass and radius $R(2011 (Paper 1)Angular oscillations
  14. 14Paragraph: Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the ch2011 (Paper 1)Simple Harmonic Motion
  15. 15Paragraph: Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the ch2011 (Paper 1)Simple Harmonic Motion
  16. 16A wooden block performs SHM on a frictionless surface with frequency . The block carries a charge on its surface. If now a uniform electric 2011 (Paper 2)Simple Harmonic Motion
  17. 17A point mass is subjected to two simultaneous sinusoidal displacements in -direction, and . Adding a third sinusoidal displacement bring the2011 (Paper 2)Superposition of S.H.M's and Resonance
  18. 18Paragraph: When a particle of mass moves on the -axis in a potential of the form , it performs simple harmonic motion. The corresponding tim2010 (Paper 1)Energy of Simple Harmonic Motion
  19. 19Paragraph: When a particle of mass moves on the -axis in a potential of the form , it performs simple harmonic motion. The corresponding tim2010 (Paper 1)Energy of Simple Harmonic Motion
  20. 20Paragraph: When a particle of mass moves on the -axis in a potential of the form , it performs simple harmonic motion. The corresponding tim2010 (Paper 1)Energy of Simple Harmonic Motion
  21. 21When two progressive waves and are superimposed, the amplitude of the resultant wave is2010 (Paper 1)Superposition of S.H.M's and Resonance
  22. 22The graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at is2009 (Paper 1)Simple Harmonic Motion
  23. 23A uniform rod of length and mass is pivoted at the centre. Its two ends are attached to two springs of equal spring constants . The springs 2009 (Paper 2)Time Period and Frequency
  24. 24The mass shown in the figure oscillates in simple harmonic motion with amplitude . The amplitude of the point is2009 (Paper 2)Simple Harmonic Motion
  25. 25A block is attached to two unstretched and with spring constants and , respectively (see figure I). The other ends are attached to identical2008 (Paper 2)Energy of Simple Harmonic Motion
  26. 26Paragraph: A uniform thin cylindrical disk of mass and radius is attached to two identical massless springs of spring constant which are fix2008 (Paper 2)Simple Harmonic Motion
  27. 27Paragraph: A uniform thin cylindrical disk of mass and radius is attached to two identical massless springs of spring constant which are fix2008 (Paper 2)Simple Harmonic Motion
  28. 28Paragraph: A uniform thin cylindrical disk of mass and radius is attached to two identical massless springs of spring constant which are fix2008 (Paper 2)Simple Harmonic Motion
  29. 29Column I describes some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situa2007 (Paper 2)Energy of Simple Harmonic Motion
  30. 30Function represents SHM.2006Superposition of S.H.M's and Resonance

Frequently Asked Questions

1.How many questions are available for Oscillations?

This chapter includes 30 questions compiled from JEE Advanced papers spanning 2006 to 2026.

2.Are these questions only from JEE Advanced, or from other exams too?

These are JEE Advanced questions specifically for the Oscillations chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Oscillations an important chapter for JEE Advanced Physics?

Oscillations has appeared in 15 of the 21 years of JEE Advanced papers covered here, with 30 questions across 18 papers - about 2 per paper it appears in.

4.What is the difficulty level of Oscillations questions in JEE Advanced?

Of the 30 questions analysed for this chapter, 17% are easy, 50% moderate and 33% tough. 2011 had the most, with 5 questions.

5.Which topics in Oscillations should I focus on?

These topics have carried the most weightage in Oscillations:

  • Simple Harmonic Motion - 13 questions (43%)
  • Energy of Simple Harmonic Motion - 8 questions (27%)
  • Superposition of S.H.M’s and Resonance - 3 questions (10%)
  • Simple Harmonic Motion has produced the most tough questions (4).
6.Is Oscillations's weightage in JEE Advanced going up or down?

Across all 18 papers analysed, Oscillations has averaged about 1.7 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.