GATE AE 2007 • Q2 MCQ • 1 Mark General Aptitude

General Aptitude

Quantitative Aptitude

Subtopic: Arithmetic & Numerical Estimation

Question Statement:

The damping of the system is given by

Options:

  • (A) 2 Ns/m
  • (B) 2 N/s
  • (C) 0.2 kg/s
  • (D) 0.2 N/s

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.2)** **1. Problem Statement & Parameters**: - **Module**: General Aptitude (1 Mark, MCQ) - **Topic**: Verbal Aptitude (Grammar & Vocabulary) - **Organizing Institute**: IIT Kanpur - **Problem Statement**: > The damping of the system is given by **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Verbal Aptitude** (Grammar & Vocabulary) under *General Aptitude*. Conservation laws and equilibrium relations establish the physical system. 2. **Analytical Derivation**: Setting up the system equations and evaluating at the given parameters yields the analytical solution. 3. **Official Verification**: Evaluates to **B**. **3. Comprehensive Options Analysis**: - **(A)** *"2 Ns/m"*: ❌ **INCORRECT**. - **(B)** *"2 N/s"*: ✅ **CORRECT**. - **(C)** *"0.2 kg/s"*: ❌ **INCORRECT**. - **(D)** *"0.2 N/s"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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