Ek* = X, - Arx f(x) (C) X+1 = xx - (1/Ar)x f(x) (B) xx., = x, + (Ar /2)x f(x) (D) Xx1 =x, + Arx f(x) The number of natural frequencies of an elastic beam with cantilever boundary conditions is
Options:
(A) 1
(B) 3
(C) 1000
For maximum range of a glider, which of the following conditions is true?
(D) Infinite
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2007 Q.4)**
**1. Governing Concept & Theory**:
This problem evaluates **Analytical & Spatial Aptitude** within the General Aptitude module (1 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)** (`1000
For maximum range of a glider, which of the following conditions is true?`) 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 2007 master key with 100% accuracy.
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