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Physics - Oscillations

Practise 291 MHTCET previous year questions on Oscillations, compiled from papers spanning 2007 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 MHTCET tests.

Oscillations has been asked in 16 of the 17 years of MHTCET papers analysed (2007–2026), with 291 questions in all. 31% of them were easy, 57% moderate and 12% tough. Most of its questions came from 2024, with 46 questions that year. In the last three years (2024–2026) it had 129 questions across 59 papers, about 2.2 per paper.

The chapter's 6 topics are not weighted equally: Simple Harmonic Motion (132 questions, 45%), Applications of SHM (54 questions, 19%), and Energy of Simple Harmonic Motion (51 questions, 18%) have been asked the most. Simple Harmonic Motion has also led over the last five years, with 85 questions. Simple Harmonic Motion has produced the most tough questions (16).

  1. 1Two oscillating simple pendulums with time periods and are in phase at a given time. They will be again in phase after an elapse of time20 Apr, 2026 (M)Simple Harmonic Motion
  2. 2Two springs of force constants ' ' and ' ' are connected to a mass ' ' as shown. Mass is displaced slightly to one side and released. The fr20 Apr, 2026 (M)Applications of SHM
  3. 3A simple pendulum of length has periodic time s. Another simple pendulum of length , has periodic time s. The periodic time of simple pendul20 Apr, 2026 (M)Applications of SHM
  4. 4A particle is performing S.H.M. about , with an amplitude and time period . The speed of the particle at will be20 Apr, 2026 (E)Simple Harmonic Motion
  5. 5For a particle executing S.H.M., the potential energy is times the kinetic energy when its displacement from mean position is , where is the20 Apr, 2026 (E)Simple Harmonic Motion
  6. 6The displacement of a particle varies with time according to the relation20 Apr, 2026 (E)Simple Harmonic Motion
  7. 7A particle executes a simple harmonic motion with a periodic time second. At time , it is at a mean position. The ratio of the distance trav19 Apr, 2026 (M)Simple Harmonic Motion
  8. 8A particle executing linear S.H.M. has velocities and at distance and respectively, from the mean position, its angular velocity is19 Apr, 2026 (E)Simple Harmonic Motion
  9. 9A spring force constant N/m is loaded with a mass kg. The amplitude of oscillations is cm. When mass comes to equilibrium position, its velo19 Apr, 2026 (E)Simple Harmonic Motion
  10. 10A particle is performing simple harmonic motion about with an amplitude ' ' and periodic time T. The speed of the particle at will be18 Apr, 2026 (M)Simple Harmonic Motion
  11. 11All the springs in fig (a), (b) and (c) are identical, each one having force constant K. Mass m is attached to each system. If , and are the18 Apr, 2026 (M)Applications of SHM
  12. 12A particle of mass ' ' is executing S.H.M. about the origin on x-axis with frequency , where K is a constant and a is the amplitude of S.H.M18 Apr, 2026 (E)Simple Harmonic Motion
  13. 13Two particles A and B of equal masses are suspended from two massless springs of spring constants and respectively. The maximum velocities o18 Apr, 2026 (E)Simple Harmonic Motion
  14. 14Three masses 100g, 300g and 500g are suspended at the end of a spring as shown in figure and are in equilibrium. When the 500 g mass is remo18 Apr, 2026 (E)Applications of SHM
  15. 15A particle executing simple harmonic motion starts from mean position with amplitude ' ' and periodic time ' '. At what displacement is its 17 Apr, 2026 (M)Simple Harmonic Motion
  16. 16For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at a certain displacement ' ' from the mean position. If17 Apr, 2026 (M)Energy of Simple Harmonic Motion
  17. 17Two simple pendulums of lengths and have periodic time and respectively . The time period of the pendulum of length is17 Apr, 2026 (M)Applications of SHM
  18. 18For a particle performing linear S.H.M. of amplitude 'r', the potential energy is ' ' times its total energy. The displacement of particle i17 Apr, 2026 (E)Simple Harmonic Motion
  19. 19A light spring is suspended with mass ' ' at its lower end and its upper end is fixed to a rigid support. The mass is pulled down a short di17 Apr, 2026 (E)Applications of SHM
  20. 20The displacement of a particle performing linear S.H.M. is given by . If at , the displacement is cm and velocity is cm/s, the value of ampl17 Apr, 2026 (E)Simple Harmonic Motion
  21. 21For a particle P performing S.H.M., when displacement is 'x', potential energy and restoring force acting on it is denoted by 'E' and 'F' re16 Apr, 2026 (M)Simple Harmonic Motion
  22. 22The time taken by simple pendulum for one oscillation is T on earth's surface. Its time period becomes xT when taken to a height R (equal to16 Apr, 2026 (E)Applications of SHM
  23. 23The maximum potential energy of a block executing S.H.M. is E and amplitude of oscillation is 'A'. The kinetic energy of the block at amplit16 Apr, 2026 (E)Energy of Simple Harmonic Motion
  24. 24A mass performs S.H.M. with amplitude A which is connected to horizontal spring. While mass passing through mean position, another mass ( ) 16 Apr, 2026 (E)Simple Harmonic Motion
  25. 25A small sphere oscillates simple harmonically in a watch glass whose radius of curvature is m. The period of Oscillation of the sphere is (A15 Apr, 2026 (M)Applications of SHM
  26. 26A particle starts from mean position and performs S.H.M. with period second. At what time its kinetic energy is of total energy? ( )15 Apr, 2026 (M)Simple Harmonic Motion
  27. 27A particle executes linear S.H.M. with amplitude cm. The magnitude of velocity and acceleration is equal when it is at cm from mean position15 Apr, 2026 (M)Simple Harmonic Motion
  28. 28A pendulum clock is running slow, In order to correct it, we should15 Apr, 2026 (E)Applications of SHM
  29. 29The minimum phase difference between two simple harmonic motions is15 Apr, 2026 (E)Simple Harmonic Motion
  30. 30A body of mass kg performs simple harmonic motion. It experiences a restoring force of N when its displacement from the mean position is 4 c15 Apr, 2026 (E)Simple Harmonic Motion
  31. 31A spring executes S.H.M. with mass 10 kg attached to it. The force constant of spring is 10 N/m. If at any instant its velocity is 40 cm/s, 13 Apr, 2026 (M)Simple Harmonic Motion
  32. 32A simple pendulum oscillates with an angular amplitude . If the maximum tension in the string is twice the minimum tension then is13 Apr, 2026 (M)Applications of SHM
  33. 33The velocity of a particle executing SHM varies with displacement ( ) as . The time period of oscillations is s. The value of is (Take )13 Apr, 2026 (E)Simple Harmonic Motion
  34. 34The amplitude of a particle executing SHM is cm. The displacement at which its kinetic energy will be more than the potential energy is (in 13 Apr, 2026 (E)Energy of Simple Harmonic Motion
  35. 35A block is fastened to a horizontal spring. The block is pulled to a distance cm from its equilibrium position (at ) on a frictionless surfa13 Apr, 2026 (E)Energy of Simple Harmonic Motion
  36. 36There is a body having mass and performing SHM with amplitude ' '. There is a restoring force , where is the displacement. The total energy 11 Apr, 2026 (M)Energy of Simple Harmonic Motion
  37. 37A particle executes simple harmonic motion between and . If time taken by particle to go from to is s, then time taken by particle in going 11 Apr, 2026 (M)Simple Harmonic Motion
  38. 38A mass attached to a spring performs S.H.M. whose displacement is m. The time taken to obtain maximum speed for the first time is (in s)11 Apr, 2026 (E)Simple Harmonic Motion
  39. 39A mass kg performs S.H.M. with a frequency Hz. At a certain displacement it has kinetic energy J and potential energy J. The amplitude of os11 Apr, 2026 (E)Simple Harmonic Motion
  40. 40An oscillating pendulum suspended from the roof of a lift which is at rest has time period . When lift moves up with acceleration 'a' its ti11 Apr, 2026 (E)Applications of SHM
  41. 41All the springs in fig. (a), (b) and (c) are identical, each having force constant each. Mass is attached to each system. If and are the tim05 May, 2025 (E)Applications of SHM
  42. 42A point particle of mass 200 gram is executing S.H.M. of amplitude 0.2 m . When the particle passes through the mean position, its kinetic e05 May, 2025 (E)Simple Harmonic Motion
  43. 43A simple pendulum starts oscillating simple harmonically from its mean position ( ) with amplitude ' a ' and periodic time ' T '. The magnit05 May, 2025 (E)Simple Harmonic Motion
  44. 44A particle executes linear S.H.M. with amplitude 4 cm . The magnitude of velocity and acceleration is equal when it is at 3 cm from mean pos27 Apr, 2025 (E)Simple Harmonic Motion
  45. 45Two identical springs of constant ' ' are connected in series and then in parallel. A mass ' ' is suspended from them, the ratio of their fr27 Apr, 2025 (E)Applications of SHM
  46. 46At a place, the length of the oscillating simple pendulum is made times keeping amplitude same then the total energy will be26 Apr, 2025 (M)Energy of Simple Harmonic Motion
  47. 47A spring executes S.H.M. with mass 1 kg attached to it. The force constant of the spring is . If at any instant its velocity is , the displa26 Apr, 2025 (M)Simple Harmonic Motion
  48. 48The ratio of the frequencies of two simple pendulums is at the same place. The ratio of their respective lengths is26 Apr, 2025 (M)Time Period and Frequency
  49. 49A simple pendulum is suspended from ceiling of a lift when lift is at rest its period is 'T'. With what acceleration 'a' should lift be acce26 Apr, 2025 (E)Applications of SHM
  50. 50A particle is performing S.H.M. starting from extreme position. Graphical representation shows that between displacement and acceleration, t26 Apr, 2025 (E)Simple Harmonic Motion

Frequently Asked Questions

1.How many questions are available for Oscillations?

This chapter includes 291 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Physics?

Oscillations has appeared in 16 of the 17 years of MHTCET papers covered here, with 291 questions across 105 papers - about 3 per paper it appears in.

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

Of the 291 questions analysed for this chapter, 31% are easy, 57% moderate and 12% tough. 2024 had the most, with 46 questions.

5.Which topics in Oscillations should I focus on?

These topics have carried the most weightage in Oscillations:

  • Simple Harmonic Motion - 132 questions (45%)
  • Applications of SHM - 54 questions (19%)
  • Energy of Simple Harmonic Motion - 51 questions (18%)
  • Simple Harmonic Motion has produced the most tough questions (16).
6.Is Oscillations's weightage in MHTCET going up or down?

Across all 105 papers analysed, Oscillations has averaged about 2.8 questions per paper. In the last three years (2024–2026), that average has fallen, at about 2.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.