Question Statement:
A level and steady flight at a higher speed could be achieved by changing
Options:
-
(A) engine throttle only
-
(B) elevator only
-
(C) throttle and elevator together
-
(D) rudder only
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.8)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (2 Mark, MCQ)
- **Topic**: Quantitative Aptitude (Permutations & Combinations)
- **Organizing Institute**: IIT Kanpur
- **Problem Statement**:
> A level and steady flight at a higher speed could be achieved by changing
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Quantitative Aptitude** (Permutations & Combinations) 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 **D**.
**3. Comprehensive Options Analysis**:
- **(A)** *"engine throttle only"*: ❌ **INCORRECT**.
- **(B)** *"elevator only"*: ❌ **INCORRECT**.
- **(C)** *"throttle and elevator together"*: ❌ **INCORRECT**.
- **(D)** *"rudder only"*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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