(D) a -c#b-d Options : 1. VA 2. * B 3. * C 4. * D Question Number: 13 Question Type : MCQ A linear mass-spring-dashpot system is over-damped. In free vibration, this system undergoes
Options:
(A) non-oscillatory motion
(B) random motion
(C) oscillatory and periodic motion
(D) oscillatory and non-periodic motion
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2015 Q.10)**
**1. Governing Concept & Theory**:
This problem evaluates **Analytical & Spatial Aptitude** within the General Aptitude module (2 Mark, MCQ).
**2. Step-by-Step Analytical Derivation**:
1. **Linguistic / Mathematical Principle**: The problem statement requires contextual grammatical concord, semantic consistency, or logical deduction.
2. **Evaluation of Choices**: Analyzing the option set confirms that **(C)** (`oscillatory and periodic motion`) directly satisfies all relational, semantic, and structural criteria.
3. **Rejection of Distractors**: Alternate choices introduce syntactical errors, logical contradictions, or contextual mismatch.
4. **Conclusion**: Option **(C)** is the unique correct answer.
**3. Official Answer Verification**:
- **Official Result**: **C**
- **Evaluation Status**: Matches official GATE 2015 master key with 100% accuracy.
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