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Simple Harmonic Motion (SHM) MCQs

Prepare for Simple Harmonic Motion (SHM) MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

29 Solved Questions • 22 Mins Practice • Updated for 2026 Competitive Exams
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2026 Solved Edition · Updated October 2026 · Verified Editorial Standards

Welcome to the verified preparation module for Simple Harmonic Motion (SHM) MCQs on McqsMind. This comprehensive set offers solved multiple-choice questions with answers, detailed explanations, and authentic past-paper style questions aligned with the latest syllabus of Oscillations & Waves (Physics).

100% Verified Answer Keys CSS, PMS, FPSC, PPSC, NTS Ready 2026/2027 Syllabus Guidelines

Direct Definition & Conceptual Scope

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Simple Harmonic Motion (SHM) constitutes an essential examination topic within Physics, evaluating theoretical principles, historical context, and practical problem-solving applications. On MCQsMind, candidates practice verified past-paper solutions, conceptual breakdowns, and syllabus-aligned questions tailored for CSS, PMS, and competitive screening examinations.

Solved Questions

Practice with answers, explanations, and exam-focused revision notes.

29 MCQs Page 1

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Topic Notes: Simple Harmonic Motion (SHM)

Quick Revision 3 min read 15 key points
Section 1 of 4

1 1. Fundamentals of SHM

4 points
  • Definition
    Simple Harmonic Motion (SHM): A specific type of oscillatory motion where the restoring force is directly proportional to the displacement from the equilibrium position and is always directed toward the mean position.
  • Theory
    Restoring Force Law: Defined by F = -kx, where 'k' is the spring constant and 'x' is displacement. The negative sign indicates the force opposes the direction of displacement.
  • Theory
    Acceleration in SHM: Since F = ma and F = -kx, it follows that a = -(k/m)x. Thus, acceleration is directly proportional to displacement and directed toward the mean position.
  • Definition
    Amplitude (A): The maximum displacement of the oscillating particle from its equilibrium position. It determines the total energy of the system.
Section 1 / 4
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1
If amplitude of a simple pendulum is increased by 4 times, the time period will be:
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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2
An organ pipe P1 closed at one end vibrating in its first overtone and another pipe P2 open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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3
A simple pendulum suspended from the ceiling of a lift has a time period T. When the lift falls freely, the time period of the pendulum will become
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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4
A clock pendulum has a period of 2.00 s. A simple pendulum set up in front of it gains on the clock so that the two vibrate in phase at intervals of 22.0 s. The period of the simple pendulum is
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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5
An oscillating body is at mean position at t = 0. At t = T/4 it will be at
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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6
A body performs simple harmonic motion with a period of 0.063 s. The maximum speed is 3.0 m s^-1. What are the values of the amplitude x₀ (m) and angular frequency ω (rad s^-1)?
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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7
Which of the following expressions is that of a simple harmonic stationary wave?
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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8
A vibratory motion in which acceleration is directly proportional to the displacement from the mean position and is always directed towards the mean position is known as
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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9
Two simple pendulums of the same length but having different masses
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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10
A body of mass 5 g is executing simple harmonic motion about a point O with an amplitude of 10 cm. Its maximum velocity is 100 cm/s. Its velocity will be 50 cm/s at a distance
Concept: #SimpleHarmonicMotion(SHM) #Oscillations&Waves #Physics
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Pedagogical Syllabus Blueprint

Simple Harmonic Motion (SHM) MCQs: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

In Pakistan's premier competitive examinations—including the Federal Public Service Commission (FPSC General Recruitment & CSS MPT), Punjab Public Service Commission (PPSC Lecturer, Tehsildar & PMS Screening), KPPSC, SPSC, and BPSC—questions derived from Simple Harmonic Motion (SHM) MCQs consistently constitute a decisive 10% to 25% weightage of the Oscillations & Waves paper. Testing agencies frequently evaluate both foundational factual recall and deeper analytical comprehension, requiring aspirants to master key dates, statutory articles, constitutional clauses, and thematic definitions.

High-Yield Conceptual Pillars & Distractor Analysis

Historical trend analysis across past five-year examination cycles demonstrates that examiner traps frequently involve closely matched numerical alternatives, chronologically contiguous treaties, and semantic subtleties in statutory phraseology. When preparing Simple Harmonic Motion (SHM) MCQs, candidates must deliberately review the underlying rationale provided for every question rather than merely memorizing raw answer options. Understanding why incorrect distractors fail is the most reliable predictor of achieving top percentiles in computerized and optical mark recognition (OMR) screening tests.

Negative Marking Mitigation & Time Management Protocol

For examinations enforcing negative marking penalties (such as PPSC's 0.25-mark deduction per erroneous response or NTS gatekeeper quotas), an aggressive elimination technique must be deployed. Candidates should systematically rule out improbable options first to elevate probability thresholds from 25% to 50% or 100%. Allocating an average of 45 to 60 seconds per item during mock trials builds the psychological stamina and cognitive precision required to complete 100-question papers within official 90-minute time limits.

Recommended Reference Sources & Statutory Reading

To achieve definitive conceptual mastery in Physics, candidates are advised to cross-reference our solved explanations with primary gazettes, statutory texts, and canonical academic textbooks. Verifying controversial questions against authentic official repositories guarantees that prospective civil servants and professional candidates present incontestable answers during both optical paper evaluations and viva voce departmental interviews.