Simple Harmonic Motion JEE Main PYQs PDF, 2020–2026

Simple Harmonic Motion has 127 questions in JEE Main papers from 2020 to 2026, about 18 per year across all shifts. The free PDF has 125 of them, each with its answer. The most asked topic is Equation of SHM (37 questions), followed by Spring-Mass Systems (36) and Energy in SHM (23).

Asked in JEE Main: 1272020–2026, all shifts
In this free PDF: 125with answers
Asked in 2026: 13Latest paper: 2026 Apr S2
Most asked topic: Equation of SHM37 Qs · 29% of the chapter
Difficulty mix: 54% easy · 45% medium · 1% hardof the questions in the PDF

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Source: official NTA JEE Main papers · Updated 17 Oct 2026

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10 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

Simple Harmonic Motion had about 0.7 questions per shift in recent JEE Main papers (2024–26). Most asked topic: Equation of SHM. About 13 questions in the 2026 papers. (Some topics were cut in 2024; see what changed.)

It came up in most 2024–26 shifts in our bank (about 36 shifts). Question types in 2020–2026: about 83 MCQs and about 44 numerical.

How many questions from Simple Harmonic Motion in JEE Main, year by year

Year	Questions	Per shift	MCQ	Numerical
2026	13	0.7	11	2
2025	11	0.6	11	0
2024	14	0.7	3	11
2023	27	1.1	15	12
2022	19	0.8	11	8
2021	38	1.5	27	11
2020	5	0.3	5	0
2020–2026	127	0.9	83	44

Most asked Simple Harmonic Motion topics, 2020–2026

Topic	Questions
Equation of SHM	37
Spring-Mass Systems	36
Energy in SHM	23
Pendulums	23
Superposition of SHMs	6

Every topic, year by year, is in the topic-wise table further down.

Counted from PrepWiser's question bank of JEE Main papers, 2020–2026. Per shift = questions that year ÷ shifts in our bank. Updated 17 Oct 2026.

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Two free sheets, made from the past JEE Main questions on this chapter.

Revision notes12 pages, 35 ideas with the usual mistakes.Open the revision notes Formula sheet3 pages, all 38 formulas.Open the formula sheet

Simple Harmonic Motion questions per year

Year	Asked	In PDF
2026	13	13
2025	11	11
2024	14	14
2023	27	26
2022	19	19
2021	38	37
2020	5	5

in the free PDF asked, not in the PDFThe PDF only has questions we can print in full with a checked answer, so it holds 125 of the 127 asked.

Topic-wise weightage by year

How many Simple Harmonic Motion 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.

Topic	Asked	Share	2026	2025	2024	2023	2022	2021	2020
Equation of SHM	37	29%	4	3	5	6	5	13	1
Spring-Mass Systems	36	28%	5	4	3	8	6	7	3
Energy in SHM	23	18%	2	1	4	8	1	7	·
Pendulums	23	18%	2	2	2	3	5	8	1
Superposition of SHMs	6	5%	·	1	·	2	2	1	·
Damped and Forced Oscillations	2	2%	·	·	·	·	·	2	·
All topics	127	100%	13	11	14	27	19	38	5

Swipe the table sideways for older years.

Newest questions (2026)

The 12 newest of the 13 JEE Main 2026 Simple Harmonic Motion questions in the free PDF, latest shift first.

JEE Main 2026 · 8 Apr · Shift 2 · Spring-Mass Systems

The frequency of oscillation of a mass $m$ suspended by a spring is $v_{1}$ . If the length of the spring is cut to half, the same mass oscillates with frequency $v_{2}$ . The value of $v_{2}/v_{1}$ is $\_\_\_\_$ .
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JEE Main 2026 · 6 Apr · Shift 2 · Spring-Mass Systems

A spring stretches by 2 mm when it is loaded with a mass of 200 g . From equilibrium position the mass is further pulled down by 2 mm and released. The frequency associated with the system and maxmimum energy in the spring are $\_\_\_\_$ Hz and $\_\_\_\_$ J, respectively.

(Take ${\mathrm{g}}=10{\ \mathrm{m}}/{\mathrm{s}}^{2}$ )
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JEE Main 2026 · 6 Apr · Shift 1 · Equation of SHM

A particle is executing simple harmonic motion. Its amplitude is $A$ and time period is 5 sec . The time required by it to move from $x=A$ to $x=\frac{A}{\sqrt{2}}$ is $\_\_\_\_$ sec.

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JEE Main 2026 · 5 Apr · Shift 2 · Equation of SHM

$\text{ Match List - I with List - II.}$

$\text{ List - I}$		$\text{ List - II}$
A.	$\sin^{2}\omega t$	I.	Periodic with time period $T=\frac{\pi}{\omega}$ but not simple harmonic motion (SHM)
B.	$\sin^{3}(2\omega t)$	II.	Periodic with time period $T=\frac{2\pi}{\omega}$ but Not SHM
C.	$\sin (\omega t)+\cos (\pi\omega t)$	III.	Periodic with time period $T=\frac{\pi}{\omega}$ and SHM
D.	$\cos \omega t+\cos 2\omega t$	IV.	Non-periodic

Choose the correct answer from the options given below :

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JEE Main 2026 · 4 Apr · Shift 2 · Pendulums

A uniform disc of radius $R$ and mass $M$ is free to oscillate about the axis $A$ as shown in the figure. For small oscillations the time period is $\_\_\_\_$ .

(g is acceleration due to gravity)

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JEE Main 2026 · 4 Apr · Shift 1 · Equation of SHM

The velocity of a particle executing simple harmonic motion along $x$ -axis is described as $v^{2}=50-x^{2}$ , where $x$ represents displacement. If the time period of motion is $\frac{x}{7}{\ \mathrm{s}}$ , the value of $x$ is $\_\_\_\_$ .
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JEE Main 2026 · 2 Apr · Shift 2 · Equation of SHM

The equation of motion of a particle is given by $x=a\sin (50t+\pi/3)$ cm. The particle will come to rest at time $t_{1}$ and it will have zero acceleration at time $t_{2}$ . The $t_{1}$ and $t_{2}$ respectively are ________.
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JEE Main 2026 · 28 Jan · Shift 2 · Spring-Mass Systems

As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses $1\text{ kg}$ and $0.2\text{ kg}$ with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system is :
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JEE Main 2026 · 28 Jan · Shift 1 · Energy in SHM

The displacement of a particle, executing simple harmonic motion with time period $T$ , is expressed as $x(t)=A\sin \omega t$ , where $A$ is the amplitude. The maximum value of potential energy of this oscillator is found at $t=T/2\beta$ . The value of $\beta$ is $\_\_\_\_$ .
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JEE Main 2026 · 24 Jan · Shift 1 · Spring-Mass Systems

A spring of force constant $15{\ \mathrm{N}}/{\mathrm{m}}$ is cut into two pieces. If the ratio of their length is $1:3$ , then the force constant of smaller piece is $\_\_\_\_$ ${\mathrm{N}}/{\mathrm{m}}$ .

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JEE Main 2026 · 24 Jan · Shift 1 · Spring-Mass Systems

A cylindrical block of mass $M$ and area of cross section $A$ is floating in a liquid of density $\rho$ and with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is $\_\_\_\_$

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JEE Main 2026 · 23 Jan · Shift 1 · Pendulums

A simple pendulum of string length 30 cm performs 20 oscillations in 10 s . The length of the string required for the pendulum to perform 40 oscillations in the same time duration is

$\_\_\_\_$ cm . [Assume that the mass of the pendulum remains same.]

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Sample questions from recent papers

JEE Main 2026 · 21 Jan · Shift 2 · Energy in SHM

The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency of 176 rad/s. The frequency of this simple harmonic oscillator is ______ Hz. [ take $\pi=\frac{22}{7}$ ]

(A)
88
(B)
14
(C)
28
(D)
176

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Answer: (B)

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JEE Main 2025 · 4 Apr · Shift 1 · Pendulums

Two simple pendulums having lengths $l_1$ and $l_2$ with negligible string mass undergo angular displacements $\theta_1$ and $\theta_2$ , from their mean positions, respectively. If the angular accelerations of both pendulums are same, then which expression is correct?

(A) $\theta_1 l_2=\theta_2 l_1$
(B) $\theta_1 l_1=\theta_2 l_2$
(C) $\theta_1 l_2^2=\theta_2 l_1^2$
(D) $\theta_1 l_1^2=\theta_2 l_2^2$

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Answer: (A)

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JEE Main 2025 · 2 Apr · Shift 1 · Superposition of SHMs

A particle is subjected to two simple harmonic motions as : $x_1=\sqrt{7} \sin 5 \mathrm{tcm}$ and $x_2=2 \sqrt{7} \sin \left(5 t+\frac{\pi}{3}\right) \mathrm{cm}$ where $x$ is displacement and $t$ is time in seconds. The maximum acceleration of the particle is $x \times 10^{-2} \mathrm{~ms}^{-2}$ . The value of $x$ is :

(A) $5 \sqrt{7}$
(B) 125
(C) $25 \sqrt{7}$
(D)175

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Answer: (D)

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JEE Main 2021 · 17 Mar · Shift 2 · Damped and Forced Oscillations

A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 minutes the amplitude decreases to 6 cm. Determine the value of the damping constant for this motion . (take ln 2 = 0.693)

(A)0.69 $\times$ 10² kg s^{$-$ 1}
(B)3.3 $\times$ 10² kg s^{$-$ 1}
(C)1.16 $\times$ 10^{$-$ 2} kg s^{$-$ 1}
(D)5.7 $\times$ 10^{$-$ 3} kg s^{$-$ 1}

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Answer: (C)

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Frequently asked

How many questions come from Simple Harmonic Motion in JEE Main?

127 questions from 2020 to 2026, about 18 per year. In 2026 it had 13. The free PDF has 125 of them.

Which Simple Harmonic Motion topics are most important for JEE Main?

By past papers: Equation of SHM (29%), Spring-Mass Systems (28%) and Energy in SHM (18%) of all Simple Harmonic Motion questions.

Is the Simple Harmonic Motion 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.

Prefer to solve online? Practise Simple Harmonic Motion online with step-by-step solutions where available, or work through JEE Main papers shift by shift.

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

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Simple Harmonic Motion JEE Main PYQs PDF, 2020–2026

How often it's asked in JEE Main

How many questions from Simple Harmonic Motion in JEE Main, year by year

Most asked Simple Harmonic Motion topics, 2020–2026

Revise Simple Harmonic Motion before you practise

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Simple Harmonic Motion questions per year

Topic-wise weightage by year

Newest questions (2026)

Sample questions from recent papers

Practise these online, free, no login

Frequently asked

How many questions come from Simple Harmonic Motion in JEE Main?

Which Simple Harmonic Motion topics are most important for JEE Main?

Is the Simple Harmonic Motion PYQ PDF free?

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