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Sunday, 25 October

JEE Main · Physics · Waves

Resonance in Air Columns: JEE Main previous year questions

15 questions in the 108 JEE Main shifts Lumi analysed, in 6 of 8 years. Pattern: Asked most years. 5 came in 2024–26. Here is how it is asked and which ideas come back.

Questions
15
in 15 of 108 shifts
Years asked
6/8
last asked 2025
Chance in a shift
13%
calibrated model, how we compute it
Weighted estimate
0.1
model; history: 0.1 a shift on average, typically 0.0–0.2

Key findings

  1. 01

    Asked in 6 of 8 years with analysed shifts and in 15 of 108 shifts: 15 questions, #159 of 196 topics. Last asked in 2025.

  2. 02

    60% of its questions since 2020 tested an idea no earlier year had asked; 6 repeated an idea from the year before.

  3. 03

    The most repeated idea is Closed Organ Pipe Harmonics, asked 4 times in 4 shifts (2021, 2022, 2023, 2024), most often as “water poured in closed organ pipe”.

  4. 04

    JEE Main has asked 9 of the 58 ideas in this topic; 47 have never been asked, directly or inside another question.

  5. 05

    Mostly asked as numerical value (73%); 73% need a numerical answer, 33% are easy and 7% hard.

  6. 06

    The skill tested most is calculation (60%), then multi-step (33%).

Questions a shift, year by year

Out of the 25 Physics questions in a shift. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift.

00.250.50’170.2’200.1’210.1’220.1’230.2’240.1’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 3 in 24 shifts · 2022: 3 in 24 shifts · 2023: 2 in 12 shifts · 2024: 4 in 18 shifts · 2025: 1 in 8 shifts · 2026: 0 in 9 shifts.

Up to 2023
0.1
a shift, of 25
Since 2024
0.1
0.0
Usual gap
1.0 yrs
between years asking it
Shifts with it
15/108
14% of analysed shifts

How it is asked

Difficulty, format and skill

Across all 15 questions on Resonance in Air Columns since 2017.

Difficulty

QUESTIONS
59
  • Easy5 · 33%
  • Medium9 · 60%
  • Hard1 · 7%

Format

SHARE
  • Numerical value · 11 Q73%
  • Single correct · 4 Q27%

Skill tested

SHARE
  • Calculation · 9 Q60%
  • Multi-step · 5 Q33%
  • Application · 1 Q7%

Repeats

New idea, or one asked before?

Each column is a year. Blue questions tested an idea no earlier year had asked; navy ones went back to an idea from an earlier year. 2017 is the first year, so everything in it counts as new. Heights are question counts, and Lumi analysed 1 to 24 shifts a year, so compare the split inside a column rather than heights across years.

2
3
3
2
4
1
’17’20’21’22’23’24’25’26
  • Idea asked for the first time
  • Idea asked in an earlier year

Coverage of the topic

JEE Main has asked 9 of the 58 ideas in this topic. 47 have never been asked yet.

947
  • Asked directly9 · 16%
  • Touched inside another question2 · 3%
  • Never asked47 · 81%

Ideas come from Lumi’s JEE syllabus map. A never-asked idea is not a safe skip: across all of JEE Main, 22% of questions since 2024 tested an idea no earlier year had asked.

Drill down

Idea, year, question

Every idea JEE Main tested in this topic, with its eight years. Open one to read the questions.

  • OpenRepeated4 · 27%
    • 30 Jan ’24 S1 · Q54
      In a closed organ pipe, the frequency of fundamental note is 30 Hz. A certain amount of water is now poured in the organ pipe so that the…

      hardNumerical valueAsked the year before

    • 12 Apr ’23 S1 · Q55
      For a certain organ pipe, the first three resonance frequencies are in the ratio of 1:3:5 respectively. If the frequency of fifth harmonic…

      mediumNumerical valueAsked the year before

    • 28 Jun ’22 S2 · Q57
      A tunning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrical tube closed at…

      mediumNumerical valueAsked the year before

    • 27 Aug ’21 S2 · Q25
      A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pipe that will resonate with the tuning fork will be…

      easyNumerical valueNew idea

  • OpenRepeated3 · 20%2
  • OpenRepeated2 · 13%
  • Open1 · 7%
  • Open1 · 7%
  • Open1 · 7%
  • Open1 · 7%
  • Open1 · 7%
  • Open1 · 7%

Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.

Ideas

Every idea inside this topic

9 different ideas were tested; 3 came more than once.

Times and shifts count every analysed shift. Across JEE Main, 78% of questions since 2024 went back to an idea an earlier year had asked; the rest were new. All repeated ideas

Every question

Resonance in Air Columns questions, year by year

The opening words of each question as it appeared in the official paper, with the idea it tested. Open one for its options and the official answer.

JEE Main 20244 questions in 4 shifts

Questions from the official JEE Main Paper 1 shifts published by NTA (CBSE for 2017). Questions NTA dropped are left out. Topic and idea tags, counts and notes are Lumi’s.