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Previous year question hub

Simple Harmonic Motion - Mechanics - Physics Previous Year Questions

Practice Simple Harmonic Motion - Mechanics - Physics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

24Papers
18Years
32Questions
1Topics

Simple Harmonic Motion question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Simple Harmonic Motion. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 17 50%
Hard 8 23.5%
Easy 7 20.6%
Not classified 2 5.9%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 24 70.6%
Numerical Answer Type (NAT) 10 29.4%

Subject weightage

Top subjects by unique question coverage.

Physics
32 Qs

Most asked topics

Top topics across the included previous year papers.

Mechanics
32 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Simple Harmonic Motion
32 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

JEE Advanced 2026 Paper 1 Online
1 Qs
JEE Advanced 2026 Paper 1 Online
1 Qs
JEE Advanced 2026 Paper 1 Online
1 Qs
JEE ADVANCED 2025 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2025 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2024 PAPER 2 ONLINE
2 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
2 Qs
JEE ADVANCED 2016 PAPER 2 OFFLINE
1 Qs
JEE ADVANCED 2015 PAPER 1 OFFLINE
1 Qs
IIT JEE 2012 PAPER 1 OFFLINE
1 Qs
IIT JEE 2011 PAPER 1 OFFLINE
3 Qs
IIT JEE 2011 PAPER 2 OFFLINE
2 Qs
IIT JEE 2010 PAPER 1 OFFLINE
4 Qs
IIT JEE 2009 PAPER 2 OFFLINE
3 Qs
IIT JEE 2009 PAPER 1 OFFLINE
1 Qs
IIT JEE 2008 PAPER 2 OFFLINE
1 Qs
IIT JEE 2006
1 Qs
IIT JEE 2005 MAINS
1 Qs
IIT JEE 2005 SCREENING
1 Qs
IIT JEE 2001 SCREENING
1 Qs
IIT JEE 2000 SCREENING
1 Qs
IIT JEE 1999 SCREENING
1 Qs
IIT JEE 1994
1 Qs
IIT JEE 1988
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
JEE Advanced 2026 Paper 1 Online20261View paper
JEE Advanced 2026 Paper 1 Online20261View paper
JEE Advanced 2026 Paper 1 Online20261View paper
JEE ADVANCED 2025 PAPER 1 ONLINE20251View paper
JEE ADVANCED 2025 PAPER 2 ONLINE20251View paper
JEE ADVANCED 2024 PAPER 2 ONLINE20242View paper
JEE ADVANCED 2022 PAPER 2 ONLINE20222View paper
JEE ADVANCED 2016 PAPER 2 OFFLINE20161View paper
JEE ADVANCED 2015 PAPER 1 OFFLINE20151View paper
IIT JEE 2012 PAPER 1 OFFLINE20121View paper
IIT JEE 2011 PAPER 1 OFFLINE20113View paper
IIT JEE 2011 PAPER 2 OFFLINE20112View paper
IIT JEE 2010 PAPER 1 OFFLINE20104View paper
IIT JEE 2009 PAPER 1 OFFLINE20091View paper
IIT JEE 2009 PAPER 2 OFFLINE20093View paper
IIT JEE 2008 PAPER 2 OFFLINE20081View paper
IIT JEE 200620061View paper
IIT JEE 2005 MAINS20051View paper
IIT JEE 2005 SCREENING20051View paper
IIT JEE 2001 SCREENING20011View paper
IIT JEE 2000 SCREENING20001View paper
IIT JEE 1999 SCREENING19991View paper
IIT JEE 199419941View paper
IIT JEE 198819881View paper

All Simple Harmonic Motion previous year questions

Practice every matching question in batches of 20, with every available option.

1
1988 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 1988
Two bodies M and N of equal masses are suspended from two separate massless springs of spring constant k1 and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of vibration of M to that of N is
A
\({{{k_1}} \over {{k_2}}}\)
B
\(\sqrt {{{{k_1}} \over {{k_2}}}}\)
C
\({{{k_2}} \over {{k_1}}}\)
D
\(\sqrt {{{{k_2}} \over {{k_1}}}}\)
Open complete paper
2
1994 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 1994
An object of mass 0.2 kg executes simple harmonic oscillation along the x-axis with a frequency of \(\left( {{{25} \over \pi }} \right)\) Hz. At the position x = 0.04, the object has kinetic energy of 0.5 J and potential energy 0.4 J. The amplitude of oscillations is ................ m.
Enter a numerical response
Open complete paper
3
1999 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 1999 SCREENING
A particle free to move along the x-axis has potential energy given by \(U\left( x \right) = k\left[ {1 - \exp \left( { - {x^2}} \right)} \right]\) for \(- \infty \le x \le - \infty\), where k is a positive constant of appropriate dimensions. Then
A
at points away from the origin, the particle is in unstable equilibrium
B
for any finite nonzero value of x, there is a force directed away from the origin
C
if its total mechanical energy is \({k \over 2}\), it has its minimum kinetic energy at the origin
D
for small displacement from x = 0, the motion is simple harmonic
Open complete paper
4
2000 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2000 SCREENING
The period of oscillation of a simple pendulum of length \(L\) suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination \(\alpha\), is given by
A
\(2\pi \sqrt {{L \over {g\cos \alpha }}}\)
B
\(2\pi \sqrt {{L \over {g\sin \alpha }}}\)
C
\(2\pi \sqrt {{L \over g}}\)
D
\(2\pi \sqrt {{L \over {g\tan \alpha }}}\)
Open complete paper
5
2001 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2001 SCREENING
A particle executes simple harmonic motion between x = - A to x = + A. The time taken for it to go from 0 to \({A \over 2}\) is T1 and to go from \({A \over 2}\) to A is T2. Then
A
T1 < T2
B
T1 > T2
C
T1 = T2
D
T1 = 2T2
Open complete paper
6
2005 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2005 MAINS

A small body attached to one end of a vertically hanging spring is performing SHM about its mean position with angular frequency \(\omega\) and amplitude \(a\). If at a height \(y^{\prime}\) from the mean position, the body gets detached from the spring, calculate the value of \(y^{\prime}\) so that the height \(\mathrm{H}\) attained by the mass is maximum. The body does not interact with the spring during its subsequent motion after detachment \(\left(a \omega^{2}>g\right)\)

A
\(y=\frac{g}{\omega^{2}}\)
B
\(y=\frac{2g}{\omega^{2}}\)
C
\(y=\frac{g}{3\omega^{2}}\)
D
\(y=\frac{4g}{7\omega^{2}}\)
Open complete paper
7
2005 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2005 SCREENING
A simple pendulum has time period T1. The point of suspension is now moved upward according to the relation y = Kt2, (K = 1 m/s2) where y is the vertical displacement. The time period now become T2. The ratio of \({{T_1^2} \over {T_2^2}}\) is (g = 10 m/s2)
A
\({5 \over 6}\)
B
\({6 \over 5}\)
C
1
D
\({4 \over 5}\)
Open complete paper
8
2006 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2006

Function $x=\mathrm{A} \sin ^2 \omega t+\mathrm{B} \cos ^2 \omega t+\mathrm{C} \sin \omega t \cos \omega t$ represents SHM

A

for any value ol $\mathrm{A}, \mathrm{B}$ and C (except $\mathrm{C}=0$ ).

B

if $\mathrm{A}=-\mathrm{B} ; \mathrm{C}=2 \mathrm{~B}$, amplitude $=|\mathrm{B} \sqrt{2}|$.

C

if $\mathrm{A}=\mathrm{B} ; \mathrm{C}=0$.

D

if $\mathrm{A}=\mathrm{B} ; \mathrm{C}=2 \mathrm{~B}$, amplitude $=|\mathrm{B}|$

Open complete paper
9
2008 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2008 PAPER 2 OFFLINE

Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column II. Match the set of parameters given in Column I with the graphs given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 \(\times\) 4 matrix given in the ORS.

Column I Column II
(A) Potential energy of a simple pendulum (y-axis) as a function of displacement (x) axis (P)
(B) Displacement (y-axis) as a function of time (x-axis) for a one dimensional motion at zero or constant acceleration when the body is moving along the positive x-direction (Q)
(C) Range of a projectile (y-axis) as a function of its velocity (x-axis) when projected at a fixed angle (R)
(D) The square of the time period (y-axis) of a simple pendulum as a function of its length (x-axis) (S)

A
A\(\to\)(P, S); B\(\to\)(Q, S); C\(\to\)(S); (D)\(\to\)(Q)
B
A\(\to\)(S); B\(\to\)(Q, S); C\(\to\)(S); (D)\(\to\)(Q, S)
C
A\(\to\)(P, S); B\(\to\)(Q); C\(\to\)(S); (D)\(\to\)(Q, S)
D
A\(\to\)(S); B\(\to\)(Q, S); C\(\to\)(S, P); (D)\(\to\)(Q)
Open complete paper
10
2009 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2009 PAPER 1 OFFLINE

The \(x\)-\(t\) graph of a particle undergoing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=4/3\) s is

IIT-JEE 2009 Paper 1 Offline Physics - Simple Harmonic Motion Question 12 English

A
\({{\sqrt 3 } \over {32}}{\pi ^2}\) cm/s\(^2\)
B
\({{ - {\pi ^2}} \over {32}}\) cm/s\(^2\)
C
\({{ {\pi ^2}} \over {32}}\) cm/s\(^2\)
D
\(- {{\sqrt 3 } \over {32}}{\pi ^2}\) cm/s\(^2\)
Open complete paper
11
2009 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2009 PAPER 2 OFFLINE

The mass M shown in the figure below oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is

IIT-JEE 2009 Paper 2 Offline Physics - Simple Harmonic Motion Question 10 English

A
\({{{k_1}A} \over {{k_2}}}\)
B
\({{{k_2}A} \over {{k_1}}}\)
C
\({{{k_1}A} \over {{k_1} + {k_2}}}\)
D
\({{{k_2}A} \over {{k_1} + {k_2}}}\)
Open complete paper
12
2009 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2009 PAPER 2 OFFLINE

A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constants \(k\). The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle \(\theta\) in one direction and released. The frequency of oscillation is

IIT-JEE 2009 Paper 2 Offline Physics - Simple Harmonic Motion Question 11 English

A
\({1 \over {2\pi }}\sqrt {{{2k} \over M}}\)
B
\({1 \over {2\pi }}\sqrt {{k \over M}}\)
C
\({1 \over {2\pi }}\sqrt {{{6k} \over M}}\)
D
\({1 \over {2\pi }}\sqrt {{{24k} \over M}}\)
Open complete paper
13
2009 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2009 PAPER 2 OFFLINE

A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air-column is the second resonance. Then,

A
the intensity of the sound heard at the first resonance was more than that at the second resonance.
B
the prongs of the tuning fork were kept in a horizontal plane above the resonance tube.
C
the amplitude of vibration of the ends of the prongs is typically around 1 cm.
D
the length of the air-column at the first resonance was somewhat shorter than 1/4th of the wavelength of the sound in air.
Open complete paper
14
2010 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2010 PAPER 1 OFFLINE

If the total energy of the particle is E, it will perform periodic motion only if

A
E < 0
B
E > 0
C
V0 > E > 0
D
E > V0
Open complete paper
15
2010 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2010 PAPER 1 OFFLINE
A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its crosssectional area is 4.9 \(\times\) 10-7 m2. If the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular frequency 140 rad s−1. If the Young’s modulus of the material of the wire is n \(\times\) 109 Nm-2, the value of n is
Enter a numerical response
Open complete paper
16
2010 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2010 PAPER 1 OFFLINE

The acceleration of this particle for \(|x| > {X_0}\) is

A
proportional to V0.
B
proportional to V0/mX0.
C
proportional to \(\sqrt {{V_0}/m{X_0}}\).
D
zero.
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17
2010 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2010 PAPER 1 OFFLINE

For periodic motion of small amplitude A, the time period T of this particle is proportional to

A
\(A\sqrt {m/\alpha }\)
B
\({1 \over A}\sqrt {m/\alpha }\)
C
\(A\sqrt {\alpha /m}\)
D
\({1 \over A}\sqrt {\alpha /m}\)
Open complete paper
18
2011 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2011 PAPER 1 OFFLINE

The phase space diagram for simple harmonic motion is a circle centred at the origin. In the figure, the two circles represent the same oscillator but for different initial conditions, and E1 and E2 are the total mechanical energies respectively. Then

IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 18 English

A
E1 = \(\sqrt2\)E2
B
E1 = 2E2
C
E1 = 4E2
D
E1 = 16E2
Open complete paper
19
2011 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2011 PAPER 1 OFFLINE

The phase space diagram for a ball thrown vertically up from ground is

A
IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 20 English Option 1
B
IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 20 English Option 2
C
IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 20 English Option 3
D
IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 20 English Option 4
Open complete paper
20
2011 · Physics · Mechanics · Simple Harmonic Motion
IIT JEE 2011 PAPER 1 OFFLINE

Consider the spring-mass system, with the mass submerged in water, as shown in the figure. The phase space diagram for one cycle of this system is

A
IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 19 English Option 1
B
IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 19 English Option 2
C
IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 19 English Option 3
D
IIT-JEE 2011 Paper 1 Offline Physics - Simple Harmonic Motion Question 19 English Option 4
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Showing 20 of 32 questions