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Centre of Mass & Linear Momentum JEE Main PYQs PDF, 2020–2026

Centre of Mass & Linear Momentum has 54 questions in JEE Main papers from 2020 to 2026, about 7.7 per year across all shifts. All 54 are in the free PDF, with an answer key. The most asked topic is Centre of Mass (25 questions), followed by Conservation of Linear Momentum (14) and Impulse-Momentum Theorem (12).

Asked in JEE Main
542020–2026, all shifts
In this free PDF
54all of them, with answers
Asked in 2026
5Latest paper: 2026 Apr S2
Most asked topic
Centre of Mass25 Qs · 46% of the chapter
Difficulty mix
65% easy · 35% mediumof the questions in the PDF

Answer key includedNo loginPractise online

Source: official NTA JEE Main papers · Updated

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4 of this chapter's questions came back in a later paper (2021–2026). See the most repeated.

How often it's asked in JEE Main

Centre of Mass & Linear Momentum had about 0.3 questions per shift in recent JEE Main papers (2024–26). Most asked topic: Centre of Mass. About 5 questions in the 2026 papers.

It came up in about 16 of the 2024–26 shifts in our bank. Question types in 2020–2026: about 38 MCQs and about 16 numerical.

How many questions from Centre of Mass & Linear Momentum in JEE Main, year by year

YearQuestionsPer shiftMCQNumerical
202650.350
202530.230
2024110.683
202370.361
2022110.565
2021100.455
202070.452
2020–2026540.43816

Most asked Centre of Mass & Linear Momentum topics, 2020–2026

TopicQuestions
Centre of Mass25
Conservation of Linear Momentum14
Impulse-Momentum Theorem12
Rocket Propulsion3

Counted from PrepWiser's question bank of JEE Main papers, 2020–2026. Per shift = questions that year ÷ shifts in our bank. Updated .

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Centre of Mass & Linear Momentum questions per year

YearAskedIn PDF
202655
202533
20241111
202377
20221111
20211010
202077

Topic-wise weightage by year

How many Centre of Mass & Linear Momentum questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

TopicAskedShare2026202520242023202220212020
Centre of Mass2546%533·536
Conservation of Linear Momentum1426%··6224·
Impulse-Momentum Theorem1222%··2532·
Rocket Propulsion36%····111
All topics54100%5311711107

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Newest questions (2026)

All 5 JEE Main 2026 Centre of Mass & Linear Momentum questions in the free PDF, latest shift first.

  1. JEE Main 2026 · 6 Apr · Shift 2 · Centre of Mass

    Two identical bodies A and B of equal masses have initial velocities v1→=4i^ m/s\overrightarrow{v_{1}}=4{\hat{i}}{\ \mathrm{m}}/{\mathrm{s}} and v2→=4j^ m/s\overrightarrow{v_{2}}=4{\hat{j}}{\ \mathrm{m}}/{\mathrm{s}} respectively. The body A has acceleration a1→=6i^+6j^ m/s2\overrightarrow{a_{1}}=6{\hat{i}}+6{\hat{j}}{\ \mathrm{m}}/{\mathrm{s}}^{2} while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in ____\_\_\_\_ path.

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  2. JEE Main 2026 · 6 Apr · Shift 1 · Centre of Mass

    The position of center of mass of three masses 2 kg,3 kg2{\ \mathrm{kg}},3{\ \mathrm{kg}} and 15 kg placed with respect to mid point (p)(p) of normal bisector, as shown in the figure is ____\_\_\_\_ .

    JEE Main PYQ figure
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  3. JEE Main 2026 · 2 Apr · Shift 2 · Centre of Mass

    Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which passes over a light frictionless pulley as shown in the figure below. The masses are held at rest at the same horizontal level and then released. The distance traversed by the centre of mass in 2 s is _______ m. (Take g=10  m/s2g=10\;m/s^{2})

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  4. JEE Main 2026 · 23 Jan · Shift 2 · Centre of Mass

    A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2:2:32:2:3. The two pieces of equal masses fly off perpendicular to each other with a speed of 18 m/s18{\ \mathrm{m}}/{\mathrm{s}} each. The velocity of the heavier fragment is

    ____\_\_\_\_ m/s{\mathrm{m}}/{\mathrm{s}}.

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  5. JEE Main 2026 · 22 Jan · Shift 2 · Centre of Mass

    Given below are two statements :

    Statement I : For a mechanical system of many particles total kinetic energy is the sum of kinetic energies of all the particles.

    Statement II : The total kinetic energy can be the sum of kinetic energy of the center of mass w.r.t to the origin and the kinetic energy of all the particles w.r.t. the center of mass as the reference.

    In the light of the above statements, choose the correct answer from the options given below :

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Sample questions from recent papers

JEE Main 2024 · 9 Apr · Shift 2 · Conservation of Linear Momentum

A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:12: 1. After disintegration they will move :

  1. (A)in opposite directions with speed in the ratio of 1:21: 2 respectively.
  2. (B)in the same direction with same speed.
  3. (C)in opposite directions with speed in the ratio of 2:12: 1 respectively.
  4. (D)in opposite directions with the same speed.
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Answer: (A)

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JEE Main 2024 · 1 Feb · Shift 2 · Impulse-Momentum Theorem

A cricket player catches a ball of mass 120 g120 \mathrm{~g} moving with 25 m/s25 \mathrm{~m} / \mathrm{s} speed. If the catching process is completed in 0.1 s0.1 \mathrm{~s} then the magnitude of force exerted by the ball on the hand of player will be (in SI unit) :
  1. (A)30
  2. (B)24
  3. (C)12
  4. (D)25
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Answer: (A)

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JEE Main 2022 · 28 Jul · Shift 1 · Rocket Propulsion

A balloon has mass of 10 g10 \mathrm{~g} in air. The air escapes from the balloon at a uniform rate with velocity 4.5 cm/s4.5 \mathrm{~cm} / \mathrm{s}. If the balloon shrinks in 5 s5 \mathrm{~s} completely. Then, the average force acting on that balloon will be (in dyne).

  1. (A)3
  2. (B)9
  3. (C)12
  4. (D)18
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Answer: (B)

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Frequently asked

How many questions come from Centre of Mass & Linear Momentum in JEE Main?

54 questions from 2020 to 2026, about 7.7 per year. In 2026 it had 5.

Which Centre of Mass & Linear Momentum topics are most important for JEE Main?

By past papers: Centre of Mass (46%), Conservation of Linear Momentum (26%) and Impulse-Momentum Theorem (22%) of all Centre of Mass & Linear Momentum questions.

Is the Centre of Mass & Linear Momentum PYQ PDF free?

Yes. The PDF and its answer key are free, and you can practise the questions online with no login, with step-by-step solutions where available.

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JEE Main PYQs by year: 2026 · 2025 · 2024 · 2023 · 2022 · 2021 · 2020

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