Air, with a Prandtl number of 0.7, flows over a flat plate at a high Reynolds number. Which of the
following statement is TRUE?
Options:
(A) 4
i (B)
2
i (C)
2 / 1
i (D)
4 / 1
i
(B) Thermal boundary layer is thinner than the velocity boundary layer.
(C) Thermal boundary layer is as thick as the velocity boundary layer.
(D) There is no relationship between the thicknesses of thermal and velocity boundary layers.
.9 Consider an eigenvalue problem given by Ax= i x. If i represent the eigenvalues of the non-
singular square matrix A, then what will be the eigenvalues of matrix A2?
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2016 Q.8)**
**1. Governing Concept & Theory**:
This problem evaluates **Quantitative 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)** (`Thermal boundary layer is as thick as the velocity boundary layer.`) 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 2016 master key with 100% accuracy.
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