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Saturday, 31 October

JEE Main · Physics · Oscillations

Collinear Superposition of SHMs

JEE Main asked Collinear Superposition of SHMs 6 times in 6 of the 108 shifts Lumi analysed, in 2021, 2022, 2023 and 2025. It belongs to SHM Equations, in Oscillations (Physics). The longest wait between two years asking it was 2 years. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
6
in 6 shifts
Years
4 of 8
First asked
2021
last in 2025
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022, 2023 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Physics questions.

00.10.20’170’200.10’210.03’220.07’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 3 in 24 shifts · 2022: 1 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20251 of 8
  • 20240 of 18
  • 20231 of 12
  • 20221 of 24
  • 20213 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: calculation.

  • Superposition of collinear shms
  • Amplitude of sum of sine and cosine

Difficulty

Easy 4Medium 2Hard 0

3 of the 6 questions had a numerical answer.

Every question

All 6 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 2 Apr 2025, Shift 1 · Q33A particle is subjected to two simple harmonic motions as : x1=7sin⁡5tx_1=\sqrt{7}\sin5t cm and x2=27sin⁡(5t+π3)x_2=2\sqrt{7}\sin\left(5t+\frac{\pi}{3}\right)…MediumSingle correct
  2. 10 Apr 2023, Shift 2 · Q32For a periodic motion represented by the equation y=sin⁡ωt+cos⁡ωty = \sin \omega t + \cos \omega t the amplitude of the motion isEasySingle correct
  3. 25 Jul 2022, Shift 2 · Q57Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are superimposed. The…EasyNumerical value
  4. 27 Aug 2021, Shift 2 · Q27Two simple harmonic motion, are represented by the equations y1=10sin⁡(3πt+π3)y_1=10\sin\left(3\pi t+\frac{\pi}{3}\right)…EasyNumerical value
  5. 26 Aug 2021, Shift 2 · Q24Two simple harmonic motions are represented by the equations x1=5sin⁡(2πt+π4)x_1=5\sin\left(2\pi t+\frac{\pi}{4}\right) and…EasyNumerical value
  6. 3 Aug 2021, Shift 1 · Q9A sinusoidal wave f1(t)=3 sin⁡ ω tf_1(t) = 3\ \sin\ \omega\, t is superposed on another periodic wave f2(t)f_2(t) which is also oscillating with the same…MediumSingle correct

Shifts: 3 Aug 2021, Shift 1, 26 Aug 2021, Shift 2, 27 Aug 2021, Shift 2, 25 Jul 2022, Shift 2, 10 Apr 2023, Shift 2, 2 Apr 2025, Shift 1.

Same topic

Other ideas in SHM Equations

SHM Equations has 21 ideas JEE Main has asked; 12 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas