JEE Main · Physics · System of Particles and Rotational Motion
Angular Momentum: JEE Main previous year questions
30 questions in the 108 JEE Main shifts Lumi analysed, in 7 of 8 years. Pattern: Asked most years. 11 came in 2024–26. Here is how it is asked and which ideas come back.
- Questions
- 30
- in 28 of 108 shifts
- Years asked
- 7/8
- last asked 2026
- Weighted estimate
- 0.2
- model; history: 0.2 a shift on average, typically 0.1–0.4
Key findings
- 01
Asked in 7 of 8 years with analysed shifts and in 28 of 108 shifts: 30 questions, #109 of 196 topics.
- 02
53% of its questions since 2020 tested an idea no earlier year had asked; 11 repeated an idea from the year before.
- 03
The most repeated idea is Conservation of Angular Momentum, asked 7 times in 7 shifts (2020, 2021, 2022, 2023, 2024), most often as “conservation of angular momentum when mass added”.
- 04
JEE Main has asked 13 of the 60 ideas in this topic; 37 have never been asked, directly or inside another question.
- 05
Mostly asked as numerical value (50%); 50% need a numerical answer, 37% are easy and 13% hard.
- 06
The skill tested most is calculation (57%), then multi-step (27%).
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.
Raw count: 2017: 0 in 1 shift · 2020: 7 in 12 shifts · 2021: 6 in 24 shifts · 2022: 3 in 24 shifts · 2023: 3 in 12 shifts · 2024: 8 in 18 shifts · 2025: 2 in 8 shifts · 2026: 1 in 9 shifts.
- Up to 2023
- 0.2
- a shift, of 25
- Since 2024
- 0.2
- 0.0
- Usual gap
- 1.0 yrs
- between years asking it
- Shifts with it
- 28/108
- 26% of analysed shifts
How it is asked
Difficulty, format and skill
Across all 30 questions on Angular Momentum since 2017.
Difficulty
QUESTIONS- Easy11 · 37%
- Medium15 · 50%
- Hard4 · 13%
Format
SHARE- Numerical value · 15 Q50%
- Single correct · 12 Q40%
- Diagram based · 2 Q7%
- Other · 1 Q3%
Skill tested
SHARE- Calculation · 17 Q57%
- Multi-step · 8 Q27%
- Application · 2 Q7%
- Recall · 1 Q3%
- Conceptual · 1 Q3%
- Diagram reading · 1 Q3%
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.
- Idea asked for the first time
- Idea asked in an earlier year
Coverage of the topic
JEE Main has asked 13 of the 60 ideas in this topic. 37 have never been asked yet.
- Asked directly13 · 22%
- Touched inside another question10 · 17%
- Never asked37 · 62%
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
Chapter, idea, question
Every idea JEE Main tested in this topic, with its eight years. Open one to read the questions.
13 ideas inside
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
13 different ideas were tested; 8 came more than once.
conservation of angular momentum when mass added
Single correct · 7 shifts · 3 numericalkinetic energy loss when discs couple
Numerical value · 5 shifts · 3 numericalcount correct statements on momentum and torque vectors
Numerical value · 3 shifts · 2 numericaldisk size from torque and speed change
Numerical value · 2 shifts · 1 numericalangular momentum of projectile at top
Numerical value · 2 shifts · 1 numericalangular momentum of rolling shell about origin
Numerical value · 2 shifts · 1 numericalangular momentum of conical pendulum about two points
Diagram based · 2 shiftsangular speed after particle sticks to pivoted rod
Single correct · 2 shiftsangular velocity of sphere losing mass
Numerical value · 1 shift · 1 numericalrod struck at end by impulse rotation time
Numerical value · 1 shift · 1 numericalangular momentum of projectile at given time
Numerical value · 1 shift · 1 numericalangular momentum of particle in circular motion
Single correct · 1 shiftplatform speed when person walks to centre
Numerical value · 1 shift · 1 numerical
| Idea | Years asked | Times | Shifts | Format | Numerical |
|---|---|---|---|---|---|
| Conservation of Angular Momentumconservation of angular momentum when mass added | 7 | 7 | Single correctCalculation | 3 | |
| Kinetic Energy Loss in Rotational Couplingkinetic energy loss when discs couple | 5 | 5 | Numerical valueCalculation | 3 | |
| Angular Momentum of Particlecount correct statements on momentum and torque vectors | 3 | 3 | Numerical valueCalculation | 2 | |
| Angular Impulse-Momentum Theoremdisk size from torque and speed change | 2 | 2 | Numerical valueMulti-step | 1 | |
| Angular Momentum of Projectile at Maximum Heightangular momentum of projectile at top | 2 | 2 | Numerical valueCalculation | 1 | |
| Angular Momentum of Purely Rolling Bodyangular momentum of rolling shell about origin | 2 | 2 | Numerical valueCalculation | 1 | |
| Angular Momentum of Conical Pendulumangular momentum of conical pendulum about two points | 2 | 2 | Diagram basedDiagram reading | – | |
| Collisions with Pinned Rigid Bodiesangular speed after particle sticks to pivoted rod | 2 | 2 | Single correctMulti-step | – | |
| Angular Momentum of a Shrinking Sphereangular velocity of sphere losing mass | 1 | 1 | Numerical valueMulti-step | 1 | |
| Angular Momentum from Linear Impulserod struck at end by impulse rotation time | 1 | 1 | Numerical valueMulti-step | 1 | |
| Angular Momentum of a Projectileangular momentum of projectile at given time | 1 | 1 | Numerical valueCalculation | 1 | |
| Direction of Angular Momentumangular momentum of particle in circular motion | 1 | 1 | Single correctConceptual | – | |
| Person Walking on a Rotating Turntableplatform speed when person walks to centre | 1 | 1 | Numerical valueCalculation | 1 |
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
Angular Momentum 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 20261 question in 1 shift
- 2 Apr, Shift 1Q29The position of an object having mass kg as a function of time is given as m. At…
Idea: Angular Momentum of Particle
MediumOther
JEE Main 20252 questions in 2 shifts
- 4 Apr, Shift 2Q50A solid sphere with uniform density and radius R is rotating initially with constant angular velocity about its diameter.…
Idea: Angular Momentum of a Shrinking Sphere
New ideaMediumNumerical value - 8 Apr, Shift 2Q47A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm. By applying an external torque of Nm for…
Idea: Angular Impulse-Momentum Theorem
Asked the year beforeMediumNumerical value
JEE Main 20248 questions in 7 shifts
- 6 Apr, Shift 1Q56If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day of…
Idea: Conservation of Angular Momentum
Asked the year beforeMediumNumerical value - 8 Apr, Shift 2Q35A thin circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular…
Idea: Conservation of Angular Momentum
Asked the year beforeEasySingle correct - 1 Feb, Shift 1Q31The dimensional formula of angular impulse is :
Idea: Angular Impulse-Momentum Theorem
New ideaEasySingle correct - 1 Feb, Shift 2Q52A uniform rod AB of mass 2 kg and length 30 cm at rest on a smooth horizontal surface. An impulse of force 0.2 Ns is applied to end B. The…
Idea: Angular Momentum from Linear Impulse
New ideaHardNumerical value - 30 Jan, Shift 1Q32A particle of mass m is projected with a velocity 'u' making an angle of with the horizontal. The magnitude of angular momentum…
Idea: Angular Momentum of Projectile at Maximum Height
New ideaMediumSingle correct - 30 Jan, Shift 1Q52Consider a Disc of mass 5 kg, radius 2 m, rotating with angular velocity of 10 rad/s about an axis perpendicular to the plane of rotation.…
Idea: Kinetic Energy Loss in Rotational Coupling
EasyNumerical value · figure - 30 Jan, Shift 2Q52Two discs of moment of inertia and , about their central axes & normal to their planes, rotating with…
Idea: Kinetic Energy Loss in Rotational Coupling
EasyNumerical value - 31 Jan, Shift 2Q51A body of mass '' is projected with a speed '' making an angle of with the ground. The angular momentum of the body about…
Idea: Angular Momentum of Projectile at Maximum Height
New ideaMediumNumerical value
JEE Main 20233 questions in 3 shifts
- 10 Apr, Shift 1Q53If the earth suddenly shrinks to th of its original volume with its mass remaining the same, the period of rotation of earth…
Idea: Conservation of Angular Momentum
Asked the year beforeMediumNumerical value - 11 Apr, Shift 2Q53A circular plate is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular…
Idea: Conservation of Angular Momentum
Asked the year beforeMediumNumerical value - 13 Apr, Shift 1Q56A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of rotation of the sphere to…
Idea: Angular Momentum of Purely Rolling Body
Asked the year beforeMediumNumerical value
JEE Main 20223 questions in 3 shifts
- 26 Jun, Shift 1Q35A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 in a horizontal plane…
Idea: Conservation of Angular Momentum
Asked the year beforeEasySingle correct - 28 Jun, Shift 1Q55The position vector of 1 kg object is m and its velocity…
Idea: Angular Momentum of Particle
Asked the year beforeEasyNumerical value - 29 Jun, Shift 1Q34A spherical shell of 1 kg mass and radius R is rolling with angular speed on horizontal plane (as shown in figure). The magnitude…
Idea: Angular Momentum of Purely Rolling Body
New ideaMediumSingle correct · figure
JEE Main 20216 questions in 6 shifts
- 4 Aug, Shift 2Q24A particle of mass 1 kg is projected at t = 0 from a point ‘O’ on the ground with a speed ‘u’ at an angle to the horizontal. The…
Idea: Angular Momentum of a Projectile
New ideaMediumNumerical value · figure - 27 Aug, Shift 2Q3Two discs have moments of intertia and about their respective axes perpendicular to the plane and passing through the centre.…
Idea: Kinetic Energy Loss in Rotational Coupling
Asked the year beforeEasySingle correct - 31 Aug, Shift 1Q18Angular momentum of a single particle moving with constant speed along circular path :
Idea: Direction of Angular Momentum
New ideaEasySingle correct - 25 Jul, Shift 1Q25A particle of mass '' is moving in time '' on a trajectory given by Where …
Idea: Angular Momentum of Particle
New ideaMediumNumerical value - 17 Mar, Shift 1Q6A mass M hangs on a massless rod of length which rotates at a constant angular frequency. The mass M moves with steady speed in a…
Idea: Angular Momentum of Conical Pendulum
Asked the year beforeHardDiagram based · figure - 18 Mar, Shift 1Q20A thin circular ring of mass M and radius r is rotating about its axis with an angular speed . Two particles having mass m each…
Idea: Conservation of Angular Momentum
Asked the year beforeEasySingle correct
JEE Main 20207 questions in 6 shifts
- 8 Jan, Shift 1Q4Consider a uniform rod of mass M = 4m and length pivoted about its centre. A mass m moving with velocity making angle…
Idea: Collisions with Pinned Rigid Bodies
New ideaMediumSingle correct - 2 Sep, Shift 2Q4Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The…
Idea: Kinetic Energy Loss in Rotational Coupling
New ideaEasySingle correct - 3 Sep, Shift 1Q3A block of mass m = 1 kg slides with velocity = 6 m/s on a frictionless horizontal surface and collides with a uniform vertical rod…
Idea: Collisions with Pinned Rigid Bodies
New ideaHardSingle correct · figure - 3 Sep, Shift 1Q22A person of 80 kg mass is standing on the rim of a circular platform of mass 200 kg rotating about its axis at 5 revolutions per minute…
Idea: Person Walking on a Rotating Turntable
New ideaMediumNumerical value - 3 Sep, Shift 2Q4A uniform rod of length 'l' is pivoted at one of its ends on a vertical shaft of negligible radius. When the shaft rotates at angular…
Idea: Angular Momentum of Conical Pendulum
New ideaHardDiagram based · figure - 4 Sep, Shift 1Q22A circular disc of mass M and radius R is rotating about its axis with angular speed . If another stationary disc having radius…
Idea: Kinetic Energy Loss in Rotational Coupling
New ideaMediumNumerical value - 5 Sep, Shift 1Q4A wheel is rotating freely with an angular speed on a shaft. The moment of inertia of the wheel is I and the moment of inertia of…
Idea: Conservation of Angular Momentum
New ideaEasySingle correct
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.