MHT CET PYQs for simple harmonic motion with Solutions: Practice MHT CET Previous Year Questions

Content Curator | Updated on - Oct 27, 2026

Simple Harmonic Motion is a Class 11 chapter in the Physics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Simple Harmonic Motion PYQs are:

Displacement, velocity and acceleration in S.H.M.
Time period of a simple pendulum and a pendulum in a lift
Energy in S.H.M.
Spring-mass systems
Equation of a simple harmonic progressive wave

Practising Simple Harmonic Motion MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Physics paper, you can get about 1 mark per paper by covering Simple Harmonic Motion. The chapter recorded 81 questions across the 80 shifts in the data, and 30 of them came in the 2025 and 2026 papers, where it contributed about 1.8% per shift.

MHT CET Simple Harmonic Motion Chapter: Question Count, Marks and Weightage:

0.96 Average questions per shift (2018-2026)	30 Questions in the 2025 and 2026 papers (33 shifts)
81 Questions in the PDF (2016-2026)	1.9% Estimated Physics paper weightage (1.8% in 2025-2026)

The PDF holds 81 questions from MHT CET 2026 to 2016, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Simple Harmonic Motion PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Simple Harmonic Motion PYQs. Every shift has 50 Physics questions, so the last column is the average per shift divided by 50.

Year	Total Questions (across shifts)	Shifts in the Data	Average per Shift	Weightage (out of 50 Physics Qs)
2026	15	16	0.94	1.9%
2025	15	17	0.88	1.8%
2024	18	18	1.00	2.0%
2023	10	12	0.83	1.7%
2022	3	1	3.00	6.0%

The 2018 to 2021 papers in the PDF add 16 more questions: 2021 had 6, 2020 had 4, 2019 had 6, 2018 had none; the papers before 2018 add 3 from 2017, 1 from 2016.

MHT CET Simple Harmonic Motion Important Questions: Based on the Last 5 Years

The major types of questions asked from Simple Harmonic Motion in MHT CET cover the following topics:

Topic	Questions in the PDF	Questions in 2022-2026	Average per Shift (2022-2026)
Simple pendulum, including a pendulum in a lift	24	17	0.27
Spring and mass systems	4	3	0.05
Equation of a simple harmonic progressive wave	6	5	0.08
Energy in simple harmonic motion	20	16	0.25
Displacement, velocity, acceleration and time in S.H.M.	27	20	0.31

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Simple Harmonic Motion PYQs

Every question in this PDF is a single-correct MCQ. Most use one S.H.M. formula, and the rest ask for a time taken or a phase difference.

Question Style	What it Tests
Time period of a pendulum	How the period changes when the length is changed, when the pendulum is in a lift that accelerates, or when it is immersed in a liquid
Time taken between positions	The time a particle starting from the mean position takes to reach a given displacement
Energy at a given displacement	The displacement at which the kinetic energy equals the potential energy, and the kinetic energy when the particle is at the mean position
Progressive wave equation	The distance between two points with a given phase difference, read from y = A sin(100πt + 3x)
Equation of motion	The nature of the motion for x = a sin ωt + b cos ωt

How to Use the Simple Harmonic Motion PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 30 of the 81 questions.
Learn T = 2π√(l/g) and how it changes with g in a lift before you practise the pendulum questions.
For time-between-positions questions, write the displacement as x = A sin ωt and solve for t.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Simple Harmonic Motion PYQs and MCQs

Source: RClass

Simple Harmonic Motion PYQ for MHT CET Physics FAQs

Ques. How many questions come from Simple Harmonic Motion every year?

Ans. In this PDF, the questions are 15 from 2026, 15 from 2025, 18 from 2024, 10 from 2023 and 3 from 2022 and the rest from earlier papers. In 2025 and 2026 together the chapter had 30 questions across 33 shifts, about 0.91 per shift.

Ques. Which topics are asked most frequently in MHT CET Simple Harmonic Motion?

Ans. Displacement, velocity, acceleration and time in S.H.M. is the largest group with 27 of the 81 questions, about 33%.

Ques. What kind of questions are asked from Simple Harmonic Motion?

Ans. Single-correct MCQs, mostly formula-based. Common ones ask for the period of a pendulum, the time to reach a given displacement, the energy at a given position, or the distance between points of a progressive wave.

Ques. What is the best way to practise Simple Harmonic Motion PYQs?

Ans. First solve the 2025 and 2026 questions completely, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Simple Harmonic Motion?

Ans. In 2025 and 2026 together the chapter had 30 questions across 33 shifts. Knowing the S.H.M. equations and the pendulum formula is enough to secure it. Each Physics question in MHT CET is worth 1 mark.

Ques. Does the Simple Harmonic Motion PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

1.
A body of mass \(0.4\) kg performs simple harmonic motion. It experiences a restoring force of \(0.4\) N when its displacement from the mean position is 4 cm. The force constant and magnitude of acceleration respectively are
- \(5 \text{N/}_{\text{m}},0.5 \text{m/}_{\text{s}^2}\)
- \(10 \text{N/}_{\text{m}},1 \text{m/}_{\text{s}^2}\)
- \(15 \text{N/}_{\text{m}},1.5 \text{m/}_{\text{s}^2}\)
- \(20 \text{N/}_{\text{m}},2 \text{m/}_{\text{s}^2}\)
View Solution
2.
A particle is performing S.H.M. about \(x = 0\), with an amplitude \(a\) and time period \(T\). The speed of the particle at \(x = \frac{a}{3}\) will be
- \(\frac{2πa}{T}\)
- \(\frac{4πa}{3T}\)
- \(\frac{\sqrt{3} π^2a}{2T}\)
- \(\frac{4\sqrt{2} πa}{3T}\)
View Solution
3.
A particle is performing simple harmonic motion about \(x = 0\) with an amplitude '\(a\)' and periodic time T. The speed of the particle at \(x = \frac{a}{3}\) will be
- \(\frac{2πa}{T}\)
- \(\frac{4πa}{3T}\)
- \(\frac{4\sqrt{2}\,πa}{3T}\)
- \(\frac{\sqrt{3}\,π^2a}{2T}\)
View Solution
4.
Two oscillating simple pendulums with time periods \(T\) and \(\frac{4T}{3}\) are in phase at a given time. They will be again in phase after an elapse of time
- \(5T\)
- \(4T\)
- \(3T\)
- \(2T\)
View Solution
5.
For a particle P performing S.H.M., when displacement is 'x', potential energy and restoring force acting on it is denoted by 'E' and 'F' respectively. The relation between x, E and F is
- \(\frac{2\text{E}}{\text{F}}-x = 0\)
- \(\frac{2\text{E}}{\text{F}}+x = 0\)
- \(\frac{2\text{F}}{\text{x}}+\text{F} = 0\)
- \(\frac{2\text{E}}{\text{x}}-\text{F} = 0\)
View Solution
6.
A light spring is suspended with mass '\(m_1\)' at its lower end and its upper end is fixed to a rigid support. The mass is pulled down a short distance and then released. The period of oscillation is T second. When a mass '\(m_2\)' is added to '\(m_1\)' and the system is made to oscillate the period is found to be \(\frac{3}{2}\) T. The ratio \((\frac{m_1}{m_2})\) is
- \(2:3\)
- \(3:4\)
- \(4:5\)
- \(5:6\)
View Solution
7.
The displacement of a particle performing linear S.H.M. is given by \(y = Acos[π(t+φ)]\). If at \(t = 0\), the displacement is \(y = 2\) cm and velocity is \(2π\) cm/s, the value of amplitude A in cm is
- \(\frac{1}{\sqrt{2}}\)
- \(\sqrt{2}\)
- \(2\)
- \(2\sqrt{2}\)
View Solution
8.
A spring force constant \(180\) N/m is loaded with a mass \(0.2\) kg. The amplitude of oscillations is \(4\) cm. When mass comes to equilibrium position, its velocity is
- \(0.012\) m/s
- \(0.12\) m/s
- \(1.2\) m/s
- \(12\) m/s
View Solution
9.
Two particles A and B of equal masses are suspended from two massless springs of spring constants \(K_A\) and \(K_B\) respectively. The maximum velocities of the particles during oscillations are equal. The ratio of the amplitude of 'B' to that of 'A' is
- \(K_A:K_B\)
- \(\sqrt{K_A}:\sqrt{K_B}\)
- \(K_B:K_A\)
- \(\sqrt{K_B}:\sqrt{K_A}\)
View Solution
10.
For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at a certain displacement '\(x\)' from the mean position. If '\(A\)' is the amplitude of S.H.M., the value of '\(x\)' is
- \(\frac{2}{\sqrt{3}}A\)
- \(\frac{\sqrt{2}}{3}A\)
- \(\frac{2\sqrt{2}}{3}A\)
- \(\frac{3}{\sqrt{2}}A\)
View Solution
11.
The displacement of a particle varies with time according to the relation
\(x = asinωt+bcosωt\)
- The motion is simple harmonic motion with an amplitude \(\sqrt[3]{a^2+b^2}\)
- The motion is simple harmonic motion with an amplitude \(\sqrt{a^2+b^2}\)
- The motion is periodic but not simple harmonic motion
- The motion is simple harmonic with an amplitude \((a^2+b^2)\)
View Solution
12.
A particle executing linear S.H.M. has velocities \(V_1\) and \(V_2\) at distance \(x_1\) and \(x_2\) respectively, from the mean position, its angular velocity is
- \(\sqrt{\frac{V_2^2-V_1^2}{x_1^2-x_2^2}}\)
- \(\sqrt{\frac{V_2^2-V_1^2}{x_2^2-x_1^2}}\)
- \(\sqrt{\frac{V_2^2-V_1^2}{x_1x_2}}\)
- \(\sqrt{\frac{V_1V_2}{x_1+x_2}}\)
View Solution
13.
A mass \(m_1\) performs S.H.M. with amplitude A which is connected to horizontal spring. While mass \(m_1\) passing through mean position, another mass \(m_2\) (\(m_2 < m_1\)) is placed on it so that both masses move together with amplitude \(A_1\). The ratio of \(A/A_1\) is
- \([\frac{m_1+m_2}{m_1}]^{\frac{1}{2}}\)
- \([\frac{m_1}{m_1+m_2}]^{\frac{1}{2}}\)
- \(\frac{m_1}{m_1+m_2}\)
- \(\frac{m_2}{m_1+m_2}\)
View Solution
14.
A particle executes a simple harmonic motion with a periodic time \(8\) second. At time \(t = 0\), it is at a mean position. The ratio of the distance traveled by a particle in the 2nd and that in the 1st second of its motion is
(\(sin45^{\circ} = cos45^{\circ} = \frac{1}{\sqrt{2}}\), \(sin90^{\circ} = cos0^{\circ} = 1\))
- \(\frac{1}{\sqrt{2}}\)
- \(\sqrt{2}\)
- \(\sqrt{2}-1\)
- \(\frac{1}{\sqrt{2}-1}\)
View Solution
15.
A particle executing simple harmonic motion starts from mean position with amplitude '\(A\)' and periodic time '\(T\)'. At what displacement is its speed one-fourth of the maximum speed?
- \(\frac{A}{\sqrt{15}}\)
- \(\frac{A}{4}\)
- \(\frac{4A}{\sqrt{15}}\)
- \(\frac{A\sqrt{15}}{4}\)
View Solution

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MHT CET PYQs for simple harmonic motion with Solutions: Practice MHT CET Previous Year Questions

Simple Harmonic Motion PYQ Statistics (2022-2026)

MHT CET Simple Harmonic Motion Important Questions: Based on the Last 5 Years

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Simple Harmonic Motion PYQs

How to Use the Simple Harmonic Motion PYQ PDF for MHT CET

Video: Simple Harmonic Motion PYQs and MCQs

Simple Harmonic Motion PYQ for MHT CET Physics FAQs

1.
A body of mass \(0.4\) kg performs simple harmonic motion. It experiences a restoring force of \(0.4\) N when its displacement from the mean position is 4 cm. The force constant and magnitude of acceleration respectively are

2.
A particle is performing S.H.M. about \(x = 0\), with an amplitude \(a\) and time period \(T\). The speed of the particle at \(x = \frac{a}{3}\) will be

3.
A particle is performing simple harmonic motion about \(x = 0\) with an amplitude '\(a\)' and periodic time T. The speed of the particle at \(x = \frac{a}{3}\) will be

4.
Two oscillating simple pendulums with time periods \(T\) and \(\frac{4T}{3}\) are in phase at a given time. They will be again in phase after an elapse of time

5.
For a particle P performing S.H.M., when displacement is 'x', potential energy and restoring force acting on it is denoted by 'E' and 'F' respectively. The relation between x, E and F is

7.
The displacement of a particle performing linear S.H.M. is given by \(y = Acos[π(t+φ)]\). If at \(t = 0\), the displacement is \(y = 2\) cm and velocity is \(2π\) cm/s, the value of amplitude A in cm is

8.
A spring force constant \(180\) N/m is loaded with a mass \(0.2\) kg. The amplitude of oscillations is \(4\) cm. When mass comes to equilibrium position, its velocity is

9.
Two particles A and B of equal masses are suspended from two massless springs of spring constants \(K_A\) and \(K_B\) respectively. The maximum velocities of the particles during oscillations are equal. The ratio of the amplitude of 'B' to that of 'A' is

10.
For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at a certain displacement '\(x\)' from the mean position. If '\(A\)' is the amplitude of S.H.M., the value of '\(x\)' is

11.
The displacement of a particle varies with time according to the relation
\(x = asinωt+bcosωt\)

12.
A particle executing linear S.H.M. has velocities \(V_1\) and \(V_2\) at distance \(x_1\) and \(x_2\) respectively, from the mean position, its angular velocity is

13.
A mass \(m_1\) performs S.H.M. with amplitude A which is connected to horizontal spring. While mass \(m_1\) passing through mean position, another mass \(m_2\) (\(m_2 < m_1\)) is placed on it so that both masses move together with amplitude \(A_1\). The ratio of \(A/A_1\) is

15.
A particle executing simple harmonic motion starts from mean position with amplitude '\(A\)' and periodic time '\(T\)'. At what displacement is its speed one-fourth of the maximum speed?

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Simple Harmonic Motion PYQ Statistics (2022-2026)

MHT CET Simple Harmonic Motion Important Questions: Based on the Last 5 Years

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Simple Harmonic Motion PYQs

How to Use the Simple Harmonic Motion PYQ PDF for MHT CET

Video: Simple Harmonic Motion PYQs and MCQs

Simple Harmonic Motion PYQ for MHT CET Physics FAQs

1.A body of mass \(0.4\) kg performs simple harmonic motion. It experiences a restoring force of \(0.4\) N when its displacement from the mean position is 4 cm. The force constant and magnitude of acceleration respectively are

2.A particle is performing S.H.M. about \(x = 0\), with an amplitude \(a\) and time period \(T\). The speed of the particle at \(x = \frac{a}{3}\) will be

3.A particle is performing simple harmonic motion about \(x = 0\) with an amplitude '\(a\)' and periodic time T. The speed of the particle at \(x = \frac{a}{3}\) will be

4.Two oscillating simple pendulums with time periods \(T\) and \(\frac{4T}{3}\) are in phase at a given time. They will be again in phase after an elapse of time

5.For a particle P performing S.H.M., when displacement is 'x', potential energy and restoring force acting on it is denoted by 'E' and 'F' respectively. The relation between x, E and F is

7.The displacement of a particle performing linear S.H.M. is given by \(y = Acos[π(t+φ)]\). If at \(t = 0\), the displacement is \(y = 2\) cm and velocity is \(2π\) cm/s, the value of amplitude A in cm is

8.A spring force constant \(180\) N/m is loaded with a mass \(0.2\) kg. The amplitude of oscillations is \(4\) cm. When mass comes to equilibrium position, its velocity is

9.Two particles A and B of equal masses are suspended from two massless springs of spring constants \(K_A\) and \(K_B\) respectively. The maximum velocities of the particles during oscillations are equal. The ratio of the amplitude of 'B' to that of 'A' is

10.For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at a certain displacement '\(x\)' from the mean position. If '\(A\)' is the amplitude of S.H.M., the value of '\(x\)' is

11.The displacement of a particle varies with time according to the relation\(x = asinωt+bcosωt\)

12.A particle executing linear S.H.M. has velocities \(V_1\) and \(V_2\) at distance \(x_1\) and \(x_2\) respectively, from the mean position, its angular velocity is

13.A mass \(m_1\) performs S.H.M. with amplitude A which is connected to horizontal spring. While mass \(m_1\) passing through mean position, another mass \(m_2\) (\(m_2 < m_1\)) is placed on it so that both masses move together with amplitude \(A_1\). The ratio of \(A/A_1\) is

15.A particle executing simple harmonic motion starts from mean position with amplitude '\(A\)' and periodic time '\(T\)'. At what displacement is its speed one-fourth of the maximum speed?

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1.
A body of mass \(0.4\) kg performs simple harmonic motion. It experiences a restoring force of \(0.4\) N when its displacement from the mean position is 4 cm. The force constant and magnitude of acceleration respectively are

2.
A particle is performing S.H.M. about \(x = 0\), with an amplitude \(a\) and time period \(T\). The speed of the particle at \(x = \frac{a}{3}\) will be

3.
A particle is performing simple harmonic motion about \(x = 0\) with an amplitude '\(a\)' and periodic time T. The speed of the particle at \(x = \frac{a}{3}\) will be

4.
Two oscillating simple pendulums with time periods \(T\) and \(\frac{4T}{3}\) are in phase at a given time. They will be again in phase after an elapse of time

5.
For a particle P performing S.H.M., when displacement is 'x', potential energy and restoring force acting on it is denoted by 'E' and 'F' respectively. The relation between x, E and F is

7.
The displacement of a particle performing linear S.H.M. is given by \(y = Acos[π(t+φ)]\). If at \(t = 0\), the displacement is \(y = 2\) cm and velocity is \(2π\) cm/s, the value of amplitude A in cm is

8.
A spring force constant \(180\) N/m is loaded with a mass \(0.2\) kg. The amplitude of oscillations is \(4\) cm. When mass comes to equilibrium position, its velocity is

9.
Two particles A and B of equal masses are suspended from two massless springs of spring constants \(K_A\) and \(K_B\) respectively. The maximum velocities of the particles during oscillations are equal. The ratio of the amplitude of 'B' to that of 'A' is

10.
For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at a certain displacement '\(x\)' from the mean position. If '\(A\)' is the amplitude of S.H.M., the value of '\(x\)' is

11.
The displacement of a particle varies with time according to the relation
\(x = asinωt+bcosωt\)

12.
A particle executing linear S.H.M. has velocities \(V_1\) and \(V_2\) at distance \(x_1\) and \(x_2\) respectively, from the mean position, its angular velocity is

13.
A mass \(m_1\) performs S.H.M. with amplitude A which is connected to horizontal spring. While mass \(m_1\) passing through mean position, another mass \(m_2\) (\(m_2 < m_1\)) is placed on it so that both masses move together with amplitude \(A_1\). The ratio of \(A/A_1\) is

15.
A particle executing simple harmonic motion starts from mean position with amplitude '\(A\)' and periodic time '\(T\)'. At what displacement is its speed one-fourth of the maximum speed?