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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.

129Papers
23Years
181Questions
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 92 50.8%
Easy 86 47.5%
Hard 3 1.7%

Question type distribution

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

Multiple Choices 141 77.9%
Numerical Answer Type (NAT) 40 22.1%

Subject weightage

Top subjects by unique question coverage.

Physics
181 Qs

Most asked topics

Top topics across the included previous year papers.

Mechanics
181 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Simple Harmonic Motion
181 Qs

Paper coverage

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

JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT
2 Qs
JEE Main 2026 (Online) 2nd April Evening Shift
1 Qs
JEE Main 2026 (Online) 4th April Evening Shift
1 Qs
JEE Main 2026 (Online) 4th April Morning Shift
1 Qs
JEE Main 2026 (Online) 5th April Evening Shift
1 Qs
JEE Main 2026 (Online) 6th April Evening Shift
1 Qs
JEE Main 2026 (Online) 6th April Morning Shift
1 Qs
JEE Main 2026 (Online) 8th April Evening Shift
1 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT
1 Qs
JEE Main 2021 (Online) 26th February Evening Shift
4 Qs
JEE Main 2021 (Online) 24th February Evening Shift
3 Qs
JEE Main 2021 (Online) 25th February Evening Shift
3 Qs
JEE Main 2021 (Online) 26th February Morning Shift
2 Qs
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT
2 Qs
JEE Main 2021 (Online) 24th February Morning Shift
1 Qs
JEE Main 2021 (Online) 25th February Morning Shift
1 Qs
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 25TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT
3 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
3 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT
2 Qs
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2018 OFFLINE
1 Qs
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2017 OFFLINE
1 Qs
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 OFFLINE
1 Qs
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2015 OFFLINE
3 Qs
JEE MAIN 2014 OFFLINE
1 Qs
JEE MAIN 2013 OFFLINE
2 Qs
AIEEE 2012
1 Qs
AIEEE 2011
2 Qs
AIEEE 2009
1 Qs
AIEEE 2007
4 Qs
AIEEE 2006
3 Qs
AIEEE 2005
4 Qs
AIEEE 2004
5 Qs
AIEEE 2003
5 Qs
AIEEE 2002
3 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE Main 2026 (Online) 2nd April Evening Shift20261View paper
JEE Main 2026 (Online) 4th April Evening Shift20261View paper
JEE Main 2026 (Online) 4th April Morning Shift20261View paper
JEE Main 2026 (Online) 5th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Morning Shift20261View paper
JEE Main 2026 (Online) 8th April Evening Shift20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT20262View paper
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT20221View paper
JEE Main 2021 (Online) 24th February Evening Shift20213View paper
JEE Main 2021 (Online) 24th February Morning Shift20211View paper
JEE Main 2021 (Online) 25th February Evening Shift20213View paper
JEE Main 2021 (Online) 25th February Morning Shift20211View paper
JEE Main 2021 (Online) 26th February Evening Shift20214View paper
JEE Main 2021 (Online) 26th February Morning Shift20212View paper
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 25TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT20211View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT20193View paper
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT20193View paper
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT20192View paper
JEE MAIN 2018 OFFLINE20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT20181View paper
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT20182View paper
JEE MAIN 2017 OFFLINE20171View paper
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT20172View paper
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT20171View paper
JEE MAIN 2016 OFFLINE20161View paper
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT20161View paper
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT20161View paper
JEE MAIN 2015 OFFLINE20153View paper
JEE MAIN 2014 OFFLINE20141View paper
JEE MAIN 2013 OFFLINE20132View paper
AIEEE 201220121View paper
AIEEE 201120112View paper
AIEEE 200920091View paper
AIEEE 200720074View paper
AIEEE 200620063View paper
AIEEE 200520054View paper
AIEEE 200420045View paper
AIEEE 200320035View paper
AIEEE 200220023View paper

All Simple Harmonic Motion previous year questions

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

1
2002 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2002
If a spring has time period \(T,\) and is cut into \(n\) equal parts, then the time period of each part will be
A
\(T\sqrt n\)
B
\(T/\sqrt n\)
C
\(nT\)
D
\(T\)
Open complete paper
2
2002 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2002
In a simple harmonic oscillator, at the mean position
A
kinetic energy is minimum, potential energy is maximum
B
both kinetic and potential energies are maximum
C
kinetic energy is maximum, potential energy is minimum
D
both kinetic and potential energies are minimum.
Open complete paper
3
2002 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2002
A child swinging on a swing in sitting position, stands up, then the time period of the swing will
A
increase
B
decrease
C
remains same
D
increases of the child is long and decreases if the child is short
Open complete paper
4
2003 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2003
Two particles \(A\) and \(B\) of equal masses are suspended from two massless springs of spring of spring constant \({k_1}\) and \({k_2}\), respectively. If the maximum velocities, during oscillation, are equal, the ratio of amplitude of \(A\) and \(B\) is
A
\(\sqrt {{{{k_1}} \over {{k_2}}}}\)
B
\({{{{k_2}} \over {{k_1}}}}\)
C
\(\sqrt {{{{k_2}} \over {{k_1}}}}\)
D
\({{{{k_1}} \over {{k_2}}}}\)
Open complete paper
5
2003 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2003
A mass \(M\) is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes \(SHM\) of time period \(T.\) If the mass is increased by \(m.\) the time period becomes \({{5T} \over 3}\). Then the ratio of \({{m} \over M}\) is
A
\({3 \over 5}\)
B
\({25 \over 9}\)
C
\({16 \over 9}\)
D
\({5 \over 3}\)
Open complete paper
6
2003 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2003
The displacement of particle varies according to the relation
\(x=4\)\(\left( {\cos \,\pi t + \sin \,\pi t} \right).\) The amplitude of the particle is
A
\(-4\)
B
\(4\)
C
\(4\sqrt 2\)
D
\(8\)
Open complete paper
7
2003 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2003
The length of a simple pendulum executing simple harmonic motion is increased by \(21\%\). The percentage increase in the time period of the pendulum of increased length is
A
\(11\%\)
B
\(21\%\)
C
\(42\%\)
D
\(10\%\)
Open complete paper
8
2003 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2003
A body executes simple harmonic motion. The potential energy \((P.E),\) the kinetic energy \((K.E)\) and total energy \((T.E)\) are measured as a function of displacement \(x.\) Which of the following statements is true ?
A
\(K.E\) is maximum when \(x=0\)
B
\(T.E\) is zero when \(x=0\)
C
\(K.E\) is maximum when \(x\) is maximum
D
\(P.E\) is maximum when \(x=0\)
Open complete paper
9
2004 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2004
In forced oscillation of a particle the amplitude is maximum for a frequency \({\omega _1}\) of the force while the energy is maximum for a frequency \({\omega _2}\) of the force; then
A
\({\omega _1} < {\omega _2}\) when damping is small and \({\omega _1} > {\omega _2}\) when damping is large
B
\({\omega _1} > {\omega _2}\)
C
\({\omega _1} = {\omega _2}\)
D
\({\omega _1} < {\omega _2}\)
Open complete paper
10
2004 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2004
The bob of a simple pendulum executes simple harmonic motion in water with a period \(t,\) while the period of oscillation of the bob is \({t_0}\) in air. Neglecting frictional force of water and given that the density of the bob is \(\left( {4/3} \right) \times 1000\,\,kg/{m^3}.\) What relationship between \(t\) and \({t_0}\) is true
A
\(t = 2{t_0}\)
B
\(t = {t_0}/2\)
C
\(t = {t_0}\)
D
\(t = 4{t_0}\)
Open complete paper
11
2004 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2004
A particle at the end of a spring executes \(S.H.M\) with a period \({t_1}\). While the corresponding period for another spring is \({t_2}\). If the period of oscillation with the two springs in series is \(T\) then
A
\({T^{ - 1}} = t_1^{ - 1} + t_2^{ - 1}\)
B
\({T^2} = t_1^2 + t_2^2\)
C
\(T = {t_1} + {t_2}\)
D
\({T^{ - 2}} = t_1^{ - 2} + t_2^{ - 2}\)
Open complete paper
12
2004 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2004
The total energy of particle, executing simple harmonic motion is
A
independent of \(x\)
B
\(\propto \,{x^2}\)
C
\(\propto \,x\)
D
\(\propto \,{x^{1/2}}\)
Open complete paper
13
2004 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2004
A particle of mass \(m\) is attached to a spring (of spring constant \(k\)) and has a natural angular frequency \({\omega _0}.\) An external force \(F(t)\) proportional to \(\cos \,\omega t\left( {\omega \ne {\omega _0}} \right)\) is applied to the oscillator. The time displacement of the oscillator will be proportional to
A
\({1 \over {m\left( {\omega _0^2 + {\omega ^2}} \right)}}\)
B
\({1 \over {m\left( {\omega _0^2 - {\omega ^2}} \right)}}\)
C
\({m \over {\omega _0^2 - {\omega ^2}}}\)
D
\({m \over {\omega _0^2 + {\omega ^2}}}\)
Open complete paper
14
2005 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2005
If a simple harmonic motion is represented by \({{{d^2}x} \over {d{t^2}}} + \alpha x = 0.\) its time period is
A
\({{2\pi } \over {\sqrt \alpha }}\)
B
\({{2\pi } \over \alpha }\)
C
\(2\pi \sqrt \alpha\)
D
\(2\pi \alpha\)
Open complete paper
15
2005 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2005
The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would
A
first decrease and then increase to the original value
B
first increase and then decrease to the original value
C
increase towards a saturation value
D
remain unchanged
Open complete paper
16
2005 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2005
Two simple harmonic motions are represented by the equations \({y_1} = 0.1\,\sin \left( {100\pi t + {\pi \over 3}} \right)\) and \({y_2} = 0.1\,\cos \,\pi t.\) The phase difference of the velocity of particle \(1\) with respect to the velocity of particle \(2\) is
A
\({\pi \over 3}\)
B
\({{ - \pi } \over 6}\)
C
\({\pi \over 6}\)
D
\({{ - \pi } \over 3}\)
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17
2005 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2005
The function \({\sin ^2}\left( {\omega t} \right)\) represents
A
a periodic, but not \(SHM\) with a period \({\pi \over \omega }\)
B
a periodic, but not \(SHM\) with a period \({{2\pi } \over \omega }\)
C
a \(SHM\) with a period \({\pi \over \omega }\)
D
a \(SHM\) with a period \({{2\pi } \over \omega }\)
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18
2006 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2006
Starting from the origin a body oscillates simple harmonically with a period of \(2\) \(s.\) After what time will its kinetic energy be \(75\%\) of the total energy?
A
\({1 \over 6}s\)
B
\({1 \over 4}s\)
C
\({1 \over 3}s\)
D
\({1 \over 12}s\)
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19
2006 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2006
The maximum velocity of a particle, executing simple harmonic motion with an amplitude \(7\) \(mm,\) is \(4.4\) \(m/s.\) The period of oscillation is
A
\(0.01\) \(s\)
B
\(10\) \(s\)
C
\(0.1\) \(s\)
D
\(100\) \(s\)
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20
2006 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2006
A coin is placed on a horizontal platform which undergoes vertical simple harmonic motoin of angular frequency \(\omega .\) The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time
A
at the mean position of the platform
B
for an amplitude of \({g \over {{\omega ^2}}}\)
C
For an amplitude of \({{{g^2}} \over {{\omega ^2}}}\)
D
at the height position of the platform
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