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GS Paper IUPSC Prelims 2001
Health & Medicine
Question No. 275Interactive Test Mode
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Q275. Two wires have their lengths, diameters and resistivities all in the ratio of 1: 2 If the resistance of the thinner wire is 10 ohm, the resistance of the thicker wire is:

Two wires have their lengths, diameters and resistivities all in the ratio of 1: 2 If the resistance of the thinner wire is 10 ohm, the resistance of the thicker wire is:

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 (B) — 10 ohm

Concept & Option Breakdown

Standard Reference Verified

Resistance is given by R = ρ * l / A, where A = π * (d/2)² = π * d² / 4. Thus, R ∝ (ρ * l) / d². Given:

  • ρ₁/ρ₂ = 1/2
  • l₁/l₂ = 1/2
  • d₁/d₂ = 1/2 => A₁/A₂ = (1/2)² = 1/4

Therefore: R₁/R₂ = (ρ₁/ρ₂) * (l₁/l₂) * (A₂/A₁) = (1/2) * (1/2) * (4/1) = 1. Since R₁ = 10 Ω, R₂ = 10 Ω.

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Question Specifications & Syllabus Mapping

Examination & YearUPSC Civil Services Preliminary Examination 2001 (Q275)
Paper & Marking SchemeGS Paper I • 2 Marks (-0.66 Negative for incorrect response)
Syllabus Subject & TopicScience and Technology → Health & Medicine
Official Answer KeyOption (B) — 10 ohm

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Frequently Asked Questions — UPSC Prelims 2001 Q275

What is the official answer for UPSC Prelims 2001 GS Paper I Question 275 (Science and Technology)?

The official UPSC answer key for this 2001 Science and Technology (Health & Medicine) question is Option (B): "10 ohm". 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?

To solve Health & Medicine questions in UPSC Prelims, identify extreme modifiers, verify core NCERT conceptual definitions, and eliminate mutually contradictory statement pairs before locking your final option.

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