Oscillatory Motion – 50 Higher-Order Thinking (HOTS) MCQs with Explanations | Competitive Exam Preparation

50 Higher-Order Thinking Skills (HOTS) MCQs (Level 3) on Oscillatory Motion (Oscillations), Physics (Unit-Wise MCQs Practice):

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👉Physics MCQs Hub – Unit wise Physics MCQs Practice (Main-Page)👈

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Whether you are preparing for Board Exams, school tests, college assessments, university exams, ECAT, MDCAT, NTS, PIEAS, GIKI, UET, FAST, NUST, or other competitive examinations, this comprehensive Oscillatory Motion (Oscillations) MCQs Collection is designed to strengthen your conceptual understanding, analytical thinking, and numerical problem-solving skills.

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This chapter covers all the essential topics, including oscillatory motion, free oscillations, forced oscillations, damped oscillations, Simple Harmonic Motion (SHM), conditions for SHM, projection of uniform circular motion, displacement, amplitude, time period, frequency, angular frequency, phase, phase difference, equation of SHM (a = –ω²x), restoring force, spring-mass system, energy changes during SHM, kinetic and potential energy, conservation of mechanical energy, simple pendulum, time period of a pendulum, resonance, natural frequency, critical damping, damping factor, car suspension system, practical applications of damping, factors affecting the frequency of oscillations, graphs of SHM, and real-life applications of oscillatory motion.

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The MCQs are organized into four progressive sections:

100 Basic MCQs Level – 1 (1–100)

Build a strong foundation with essential concepts, definitions, characteristics, equations, graphs, laws, formulas, and fundamental principles of oscillatory motion and Simple Harmonic Motion.

100 Advanced & Numerical MCQs (101–200)

Strengthen your calculation, analytical thinking, and application-based problem-solving skills through challenging numerical and conceptual questions on spring-mass systems, simple pendulums, angular frequency, resonance, damping, velocity, acceleration, energy, and oscillatory motion.

50 Higher-Order Thinking Skills (HOTS) MCQs (201–250)

Challenge yourself with conceptual reasoning, graph interpretation, real-life applications, assertion-reason questions, experimental situations, engineering applications, resonance phenomena, damping analysis, and competitive examination-level problems.

50 Challenging MCQs Quiz with Answers

A carefully selected collection of the 50 most important conceptual, numerical, and HOTS questions designed for quick revision, self-assessment, concept reinforcement, and complete exam preparation.

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Every MCQ Includes:

✔ Four carefully designed answer options

✔ Instant correct answer

✔ Detailed concept-based explanation

✔ Exam-focused learning approach

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This complete MCQ collection is ideal for Board Exams, FBISE, ECAT, MDCAT, NTS, PIEAS, GIKI, UET, FAST, NUST, and other competitive entrance examinations. By practicing these 250 carefully selected MCQs along with the Top 50 Challenging MCQs Quiz, you will develop a thorough understanding of Oscillatory Motion and Simple Harmonic Motion, strengthen your numerical problem-solving abilities, improve conceptual clarity and logical reasoning, and gain the confidence needed to excel in objective-type Physics examinations and competitive entrance tests.

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Level-II – 100 Advanced & Numerical MCQs (MCQs 101–200)

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MCQ No. 201

A student says that every periodic motion is Simple Harmonic Motion (SHM). Another student says that every SHM is periodic, but every periodic motion is not SHM. Which statement is correct?

a) Only the first student is correct.

b) Only the second student is correct.

c) Both students are correct.

d) Neither student is correct.

Correct Answer: b) Only the second student is correct.

Explanation: SHM is a special type of periodic motion in which the restoring force is directly proportional to displacement and directed toward the equilibrium position. Therefore, every SHM is periodic, but many periodic motions (e.g., Earth's revolution) are not SHM.

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MCQ No. 202

A pendulum and a mass-spring system have the same time period. If the spring constant of the spring is doubled while all other quantities remain unchanged, which system will complete more oscillations in one minute?

a) Pendulum

b) Spring-mass system

c) Both complete the same number

d) Cannot be determined

Correct Answer: b) Spring-mass system

Explanation: Doubling the spring constant decreases the time period of the spring-mass system, increasing its frequency, while the pendulum's period remains unchanged.

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MCQ No. 203

A body is displaced from its equilibrium position and released. Instead of returning toward the equilibrium position, it continues moving farther away. Which conclusion is most appropriate?

a) The body performs SHM.

b) The restoring force acts correctly.

c) The equilibrium is unstable.

d) The amplitude has increased.

Correct Answer: c) The equilibrium is unstable.

Explanation: If the force drives the body away from the equilibrium position, the equilibrium is unstable and SHM cannot occur.

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MCQ No. 204

Two identical pendulums are taken to the Moon. One has twice the length of the other. Which statement is correct?

a) Both have the same time period.

b) The longer pendulum has a larger time period.

c) The shorter pendulum has a larger time period.

d) Both oscillate faster than on Earth.

Correct Answer: b) The longer pendulum has a larger time period.

Explanation: Even on the Moon,

$$T=2\pi\sqrt{\frac{L}{g}}$$

A longer pendulum always has a greater time period.

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MCQ No. 205

A spring oscillator is taken from Earth to the Moon. Neglecting temperature effects, its time period will:

a) Increase

b) Decrease

c) Remain unchanged

d) Become infinite

Correct Answer: c) Remain unchanged.

Explanation: The period of a spring-mass system depends only on mass and spring constant, not on gravity.

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MCQ No. 206

A pendulum clock and a spring clock are taken to the Moon. Which one continues to keep correct time?

a) Pendulum clock only

b) Spring clock only

c) Both

d) Neither

Correct Answer: b) Spring clock only.

Explanation: The spring oscillator is independent of gravity, whereas the pendulum depends upon $g$.

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MCQ No. 207

Which change will produce the greatest increase in the time period of a spring-mass system?

a) Doubling the mass

b) Doubling the spring constant

c) Halving the mass

d) Halving the amplitude

Correct Answer: a) Doubling the mass.

Explanation: Since

$$T\propto\sqrt{\frac{m}{k}}$$

Doubling the mass increases the period, whereas increasing $k$ decreases it.

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MCQ No. 208

Two identical oscillators have amplitudes of 5 cm and 10 cm, respectively. Which statement is true?

a) Both have the same total energy.

b) The second has twice the total energy.

c) The second has four times the total energy.

d) The first has four times the total energy.

Correct Answer: c) The second has four times the total energy.

Explanation: Total energy is proportional to the square of amplitude.

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MCQ No. 209

A student increases both the mass and spring constant of a spring oscillator by a factor of four. What happens to the time period?

a) It doubles.

b) It becomes half.

c) It remains unchanged.

d) It becomes four times.

Correct Answer: c) It remains unchanged.

Explanation:

$$T=2\pi\sqrt{\frac{4m}{4k}} =T$$

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MCQ No. 210

A pendulum is taken to a planet where gravity is four times that of Earth. Its time period becomes:

a) Four times

b) Twice

c) Half

d) One-fourth

Correct Answer: c) Half.

Explanation:

$$T\propto\frac1{\sqrt g}$$

If $g$ becomes four times greater,

$$T'=\frac{T}{2}$$

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MCQ No. 211

A graph of displacement versus time for a particle is triangular instead of sinusoidal. What can be concluded?

a) The motion is SHM.

b) The motion is oscillatory but not SHM.

c) The motion is uniform circular motion.

d) The body is at rest.

Correct Answer: b) The motion is oscillatory but not SHM.

Explanation: SHM always produces a sinusoidal displacement-time graph.

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MCQ No. 212

If friction in a vibrating system is gradually reduced, resonance becomes:

a) Less noticeable

b) Sharper and stronger

c) Impossible

d) Unchanged

Correct Answer: b) Sharper and stronger.

Explanation: Lower damping allows larger amplitudes near resonance.

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MCQ No. 213

A soldier is instructed not to march in step while crossing a bridge. The main reason is to avoid:

a) Reflection

b) Interference

c) Resonance

d) Diffraction

Correct Answer: c) Resonance.

Explanation: Marching in step may match the bridge's natural frequency, producing dangerous resonance.

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MCQ No. 214

Why are shock absorbers filled with oil?

a) To increase resonance

b) To increase frequency

c) To provide damping

d) To reduce gravity

Correct Answer: c) To provide damping.

Explanation: Oil dissipates energy and quickly reduces oscillations.

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MCQ No. 215

A child on a swing receives pushes at irregular intervals. Compared with regular pushes, the amplitude will generally be:

a) Larger

b) Smaller

c) Infinite

d) Exactly constant

Correct Answer: b) Smaller.

Explanation: Maximum amplitude occurs only when pushes are applied periodically near the natural frequency.

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MCQ No. 216

Two identical pendulums are released with different amplitudes but small angular displacements. Which statement is correct?

a) The larger-amplitude pendulum has a greater time period.

b) The smaller-amplitude pendulum has a greater time period.

c) Both have approximately the same time period.

d) Their frequencies are completely different.

Correct Answer: c) Both have approximately the same time period.

Explanation: For small oscillations, the period of a simple pendulum is independent of amplitude.

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MCQ No. 217

A particle in SHM is moving toward the mean position. Which statement is correct?

a) Speed increases while potential energy decreases.

b) Speed decreases while potential energy increases.

c) Both speed and potential energy increase.

d) Both decrease.

Correct Answer: a) Speed increases while potential energy decreases.

Explanation: As the particle approaches the mean position, potential energy converts into kinetic energy.

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MCQ No. 218

Which graph correctly represents acceleration versus displacement in SHM?

a) Horizontal line

b) Straight line through the origin with negative slope

c) Upward-opening parabola

d) Circle

Correct Answer: b) Straight line through the origin with negative slope.

Explanation: Since

$$a=-\omega^2x$$

acceleration is directly proportional to displacement with a negative sign.

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MCQ No. 219

A tuning fork continues vibrating for a long time in a vacuum. The main reason is:

a) Greater gravity

b) Reduced damping

c) Higher frequency

d) Larger amplitude

Correct Answer: b) Reduced damping.

Explanation: The absence of air greatly reduces energy loss.

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MCQ No. 220

Which system is most likely to require heavy damping?

a) Violin string

b) Pendulum clock

c) Car suspension

d) Tuning fork

Correct Answer: c) Car suspension.

Explanation: Heavy damping prevents prolonged oscillations and improves passenger comfort.

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MCQ No. 221

A spring oscillator has maximum kinetic energy at the same instant another identical oscillator has maximum potential energy. Their positions are:

a) Both at the mean position

b) Both at extreme positions

c) One at the mean position and the other at an extreme position

d) Both at half amplitude

Correct Answer: c) One at the mean position and the other at an extreme position.

Explanation: Maximum KE occurs at the mean position, while maximum PE occurs at the extreme position.

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MCQ No. 222

Which statement best explains why resonance may damage buildings during earthquakes?

a) Buildings become heavier.

b) The earthquake increases gravity.

c) Ground vibrations may match the building's natural frequency.

d) The amplitude of ground motion becomes zero.

Correct Answer: c) Ground vibrations may match the building's natural frequency.

Explanation: Matching frequencies causes resonance, greatly increasing vibration amplitude.

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MCQ No. 223

A pendulum is taken inside an accelerating elevator moving upward. Compared with standing on the ground, its frequency:

a) Increases

b) Decreases

c) Remains unchanged

d) Becomes zero

Correct Answer: a) Increases.

Explanation: Upward acceleration increases effective gravity, decreasing the time period and increasing the frequency.

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MCQ No. 224

Which statement best distinguishes free oscillations from forced oscillations?

a) Free oscillations require no restoring force.

b) Forced oscillations occur without any external influence.

c) Forced oscillations are maintained by an external periodic force.

d) Free oscillations always have increasing amplitude.

Correct Answer: c) Forced oscillations are maintained by an external periodic force.

Explanation: An external periodic driving force continuously supplies energy in forced oscillations.

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MCQ No. 225

A spring oscillator and a simple pendulum have equal frequencies on Earth. They are both taken to the Moon. Which statement is correct?

a) Both frequencies decrease.

b) Both frequencies remain unchanged.

c) Only the pendulum's frequency decreases.

d) Only the spring oscillator's frequency decreases.

Correct Answer: c) Only the pendulum's frequency decreases.

Explanation: The frequency of a spring oscillator is independent of gravity, whereas the pendulum's frequency decreases because the Moon has a smaller gravitational acceleration.

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MCQ No. 226

A student claims that increasing the amplitude of a simple pendulum will always increase its time period. Under which condition is this statement approximately incorrect?

a) Large angular displacement

b) Small angular displacement

c) In the absence of gravity

d) In a vacuum only

Correct Answer: b) Small angular displacement

Explanation: For small oscillations (typically less than about 10°), the time period of a simple pendulum is practically independent of amplitude.

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MCQ No. 227

Two spring-mass systems have identical masses. The first has a spring constant of k, while the second has 9k. The ratio of their frequencies is:

a) 1 : 3

b) 3 : 1

c) 1 : 9

d) 9 : 1

Correct Answer: a) 1 : 3

Explanation:

$$f\propto\sqrt{k}$$
$$f_1:f_2=\sqrt{k}:\sqrt{9k}=1:3$$

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MCQ No. 228

A pendulum clock keeps correct time on Earth but loses time on a mountain. The most reasonable explanation is that:

a) Its length increases.

b) Gravity decreases.

c) Air pressure decreases.

d) The bob becomes lighter.

Correct Answer: b) Gravity decreases.

Explanation: At higher altitudes, gravitational acceleration decreases slightly, increasing the time period.

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MCQ No. 229

If the total mechanical energy of a spring oscillator doubles while the spring constant remains unchanged, the amplitude becomes:

a) √2A

b) 2A

c) 4A

d) A/2

Correct Answer: a) √2A

Explanation:

Since

$$E=\frac12kA^2$$

doubling the energy increases the amplitude by √2.

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MCQ No. 230

A graph of restoring force versus displacement is a straight line passing through the origin with a negative slope. This indicates:

a) Uniform circular motion

b) Simple Harmonic Motion

c) Uniform linear motion

d) Projectile motion

Correct Answer: b) Simple Harmonic Motion

Explanation: The graph satisfies Hooke's law:

$$F=-kx$$

which is the condition for SHM.

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MCQ No. 231

A body oscillates with negligible damping. Which energy transformation continuously occurs?

a) Heat → Sound

b) Potential Energy ↔ Kinetic Energy

c) Electrical → Mechanical

d) Chemical → Mechanical

Correct Answer: b) Potential Energy ↔ Kinetic Energy

Explanation: In ideal SHM, mechanical energy continuously changes between kinetic and potential forms.

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MCQ No. 232

Which of the following situations is most likely to produce resonance?

a) Random external pushes

b) Constant external force

c) Periodic force equal to the natural frequency

d) Very large friction

Correct Answer: c) Periodic force equal to the natural frequency

Explanation: Resonance occurs when the driving frequency equals the natural frequency.

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MCQ No. 233

Two pendulums have equal lengths but different masses. Assuming small oscillations, which statement is correct?

a) The heavier pendulum has a longer period.

b) The lighter pendulum has a longer period.

c) Both have the same period.

d) Their periods depend on amplitude.

Correct Answer: c) Both have the same period.

Explanation: The period of a simple pendulum does not depend on the mass of the bob.

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MCQ No. 234

A particle in SHM moves from the mean position toward an extreme position. During this motion:

a) Speed increases continuously.

b) Kinetic energy increases continuously.

c) Potential energy increases while kinetic energy decreases.

d) Both energies increase.

Correct Answer: c) Potential energy increases while kinetic energy decreases.

Explanation: As the particle climbs toward the extreme position, kinetic energy is converted into potential energy.

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MCQ No. 235

A child standing on a swing wants to increase the amplitude quickly. The best method is to:

a) Apply random pushes.

b) Push only at the extreme positions.

c) Apply periodic pushes matching the swing's natural frequency.

d) Increase the mass of the swing.

Correct Answer: c) Apply periodic pushes matching the swing's natural frequency.

Explanation: This produces resonance and maximizes energy transfer.

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MCQ No. 236

Which graph correctly represents the variation of potential energy with displacement in SHM?

a) Straight line

b) Circle

c) Upward-opening parabola

d) Horizontal line

Correct Answer: c) Upward-opening parabola

Explanation:

$$U=\frac12kx^2$$

Potential energy varies as the square of displacement.

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MCQ No. 237

The kinetic energy versus displacement graph for SHM is:

a) Straight line

b) Downward-opening parabola

c) Circle

d) Hyperbola

Correct Answer: b) Downward-opening parabola

Explanation: Since total energy is constant,

$$K=E-\frac12kx^2$$

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MCQ No. 238

Why is resonance generally undesirable in bridges?

a) It decreases vibrations.

b) It reduces structural strength.

c) It may produce dangerously large oscillations.

d) It decreases the bridge's weight.

Correct Answer: c) It may produce dangerously large oscillations.

Explanation: Resonance can cause structural failure if oscillations become excessive.

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MCQ No. 239

A tuning fork is struck in air and then in a vacuum. Which property remains essentially unchanged?

a) Loudness

b) Frequency

c) Amplitude

d) Duration of sound

Correct Answer: b) Frequency

Explanation: The natural frequency depends on the tuning fork itself, not on the surrounding medium.

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MCQ No. 240

Which factor has the greatest effect on reducing the amplitude of free oscillations?

a) Larger mass

b) Smaller amplitude

c) Damping forces

d) Higher frequency

Correct Answer: c) Damping forces

Explanation: Damping continuously removes energy from the oscillating system.

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MCQ No. 241

Two identical oscillators differ only in amplitude. Which quantity remains the same?

a) Total energy

b) Maximum speed

c) Frequency

d) Maximum kinetic energy

Correct Answer: c) Frequency

Explanation: For ideal SHM, frequency is independent of amplitude.

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MCQ No. 242

A pendulum is moved from Earth to Jupiter, where gravity is much larger. Which quantity decreases?

a) Frequency

b) Angular frequency

c) Time period

d) Restoring force

Correct Answer: c) Time period

Explanation: Larger gravitational acceleration reduces the time period.

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MCQ No. 243

In SHM, the restoring force always acts:

a) In the direction of motion

b) Away from equilibrium

c) Toward the equilibrium position

d) Perpendicular to displacement

Correct Answer: c) Toward the equilibrium position

Explanation: The restoring force always opposes the displacement.

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MCQ No. 244

A scientist wants to measure the acceleration due to gravity accurately. Which instrument based on oscillatory motion is most suitable?

a) Vernier calipers

b) Screw gauge

c) Simple pendulum

d) Spring balance

Correct Answer: c) Simple pendulum

Explanation: The period of a simple pendulum can be used to determine $g$.

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MCQ No. 245

Which statement best explains why oscillations gradually stop in real systems?

a) Gravity disappears.

b) Restoring force becomes zero.

c) Mechanical energy is lost due to damping.

d) Frequency continuously increases.

Correct Answer: c) Mechanical energy is lost due to damping.

Explanation: Friction and air resistance convert mechanical energy into heat.

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MCQ No. 246

A particle executes SHM. At which position are the magnitudes of kinetic and potential energies equal?

a) Mean position

b) Extreme position

c) At a displacement of $A/\sqrt{2}$

d) At a displacement of $A/4$

Correct Answer: c) At a displacement of $A/\sqrt{2}$

Explanation:

Since

$$KE=PE=\frac{E}{2}$$

the displacement is

$$x=\frac{A}{\sqrt2}$$

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MCQ No. 247

A body oscillates with increasing amplitude because energy is supplied at the correct frequency. This phenomenon is:

a) Damping

b) Resonance

c) Reflection

d) Refraction

Correct Answer: b) Resonance

Explanation: Resonance causes maximum transfer of energy to the oscillating system.

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MCQ No. 248

Which one of the following quantities is independent of the mass of the bob in a simple pendulum?

a) Momentum

b) Weight

c) Time period

d) Kinetic energy

Correct Answer: c) Time period

Explanation: The period depends only on the length of the pendulum and the gravitational acceleration.

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MCQ No. 249

A spring oscillator has negligible damping and no external force. The oscillations are:

a) Forced oscillations

b) Damped oscillations

c) Free oscillations

d) Resonant oscillations

Correct Answer: c) Free oscillations

Explanation: The system oscillates naturally at its own frequency without any external driving force.

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MCQ No. 250

A bridge begins vibrating violently when soldiers march across it in step. The engineer advises the soldiers to break step immediately. Which principle best explains this advice?

a) Conservation of momentum

b) Doppler Effect

c) Resonance due to matching frequencies

d) Bernoulli's Principle

Correct Answer: c) Resonance due to matching frequencies

Explanation: Marching in step applies a periodic force. If its frequency matches the bridge's natural frequency, resonance occurs, producing dangerously large oscillations. Breaking step changes the driving frequency and prevents resonance.

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