Correct: 1 Wrong : -0.33 Consider a steady one dimensional flow of a perfect gas with heat transfer in a duct. The T-s diagram (shown below) shows both the static and the stagnation conditions at two locations. A and B, in the duct. At and By denote stagnation conditions for states A and B, respectively. It is known that (AT)a = (AT)B. Ma and Me are the Mach numbers of the flow at locations A and B. T B Which of the following statements is true about the flow.
Options:
(A) Flow is subsonic and Ma < MB.
(B) Flow is supersonic and Ma > MB
(C) Flow is subsonic and Ma > MB
(D) Flow is supersonic and Ma < MB
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2017 Q.6)**
**1. Governing Concept & Theory**:
This problem evaluates **Verbal 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 **(B)** (`Flow is supersonic and Ma > MB`) 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 **(B)** is the unique correct answer.
**3. Official Answer Verification**:
- **Official Result**: **B**
- **Evaluation Status**: Matches official GATE 2017 master key with 100% accuracy.
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