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Saturday, 31 October

JEE Main · Physics · Oscillations

General Solution of SHM

JEE Main asked General Solution of SHM 3 times in 3 of the 108 shifts Lumi analysed, in 2021 and 2025. It belongs to SHM Equations, in Oscillations (Physics). The longest wait between two years asking it was 4 years. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2021
last in 2025
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.07’210’220’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 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
  • 20230 of 12
  • 20220 of 24
  • 20212 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: calculation.

  • Wavelength from wave equation and speed
  • Frequency from shm position equation

Difficulty

Easy 2Medium 1Hard 0

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

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

  1. 4 Apr 2025, Shift 2 · Q34Displacement of a wave is expressed as x(t)=5cos⁡(628t+π2)x(t)=5\cos\left(628t+\frac{\pi}{2}\right) m. The wavelength of the wave when its velocity is 300…EasySingle correct
  2. 26 Feb 2021, Shift 2 · Q22Time period of a simple pendulum is T. The time taken to complete 58\frac{5}{8} oscillations starting from mean position is…MediumNumerical value
  3. 4 Aug 2021, Shift 1 · Q17If a particle of mass ‘m’ moves in x–y plane according to the equation r⃗=(i^+j^)\vec{r}=(\hat{i}+\hat{j}) (A sin314 t + B cos314 t) m The…EasySingle correct

Shifts: 26 Feb 2021, Shift 2, 4 Aug 2021, Shift 1, 4 Apr 2025, Shift 2.

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