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GS Paper IUPSC Prelims 2001
Health & Medicine
Question No. 228Interactive Test Mode
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+2-0.66

Q228. Consider the following statements: A simple pendulum is set into oscillation. Then: 1. The acceleration is zero when the bob passes through the mean position. 2. In each cycle the bob attains a given velocity twice. 3. Both acceleration and velocity of the bob are zero when it reaches its extreme position during the oscillation. 4. The amplitude of oscillation of the simple pendulum decreases with time. Which of these statements are correct?

Consider the following statements: A simple pendulum is set into oscillation. Then:

  1. The acceleration is zero when the bob passes through the mean position.
  2. In each cycle the bob attains a given velocity twice.
  3. Both acceleration and velocity of the bob are zero when it reaches its extreme position during the oscillation.
  4. The amplitude of oscillation of the simple pendulum decreases with time. Which of these statements are correct?
Select the correct option below (or cross out options to eliminate)
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Official Answer Key & Detailed Solution

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Official UPSC Answer KeyUPSC Prelims 2001 • Science and Technology

Correct Answer: Option (C) — 1, 2 and 4

Concept & Option Breakdown

Standard Reference Verified

Statement 1 is correct: In simple harmonic motion, tangential restoring force $F = -mg\sin\theta = 0$ at the mean position ($\theta = 0$), so tangential acceleration is zero. Statement 2 is correct: In each complete period, the bob passes every intermediate velocity magnitude twice (once moving forward, once moving backward). Statement 3 is incorrect: At extreme positions, velocity is zero, but restoring acceleration is at its maximum magnitude ($a = \omega^2 A$). Statement 4 is correct: Due to viscous air resistance and support friction, real pendulums undergo damped oscillations where amplitude decays with time.

Elimination Heuristic & Exam Approach

At extreme amplitude, restoring force and acceleration are MAXIMUM, never zero, eliminating Statement 3.

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Question Specifications & Syllabus Mapping

Examination & YearUPSC Civil Services Preliminary Examination 2001 (Q228)
Paper & Marking SchemeGS Paper I • 2 Marks (-0.66 Negative for incorrect response)
Syllabus Subject & TopicScience and Technology → Health & Medicine
Official Answer KeyOption (C) — 1, 2 and 4

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Frequently Asked Questions — UPSC Prelims 2001 Q228

What is the official answer for UPSC Prelims 2001 GS Paper I Question 228 (Science and Technology)?

The official UPSC answer key for this 2001 Science and Technology (Health & Medicine) question is Option (C): "1, 2 and 4". Correct attempts carry 2 Marks with -0.66 Negative penalty for wrong answers.

Which UPSC Prelims syllabus topic does this 2001 question belong to?

This question belongs to GS Paper I under the subject "Science and Technology" and micro-topic "Health & Medicine". You can explore all repeated questions from Health & Medicine in Acme AI's 3D Prelims PYQ Realm or practice 50 full-length and sectional tests in the APT Prelims Test Series.

How can I solve this Health & Medicine UPSC Prelims question using option elimination?

At extreme amplitude, restoring force and acceleration are MAXIMUM, never zero, eliminating Statement 3.

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