Question Statement:
0) P. - Poss Tos + T, 02-1a P, - Pos 0.2 Two posion vectors are indiares by - fand v, (i If a +b'=1, then the operation 3= a -6) i, amouns to oblining the position vector Ve from V, by
Options:
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(A) Both total pressure and total temperature decrease
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(B) Total pressure decreases and total temperature remains constant
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(C) Total pressure remains constant and total temperature decreases
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(D) Both total pressure and total temperature remain constant
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2010 Q.1)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (1 Mark, MCQ)
- **Topic**: Verbal Aptitude (Grammar & Vocabulary)
- **Organizing Institute**: IIT Guwahati
- **Problem Statement**:
> 0) P. - Poss Tos + T, 02-1a P, - Pos 0.2 Two posion vectors are indiares by - fand v, (i If a +b'=1, then the operation 3= a -6) i, amouns to oblining the position vector Ve from V, by
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Verbal Aptitude** (Grammar & Vocabulary) 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 **A**.
**3. Comprehensive Options Analysis**:
- **(A)** *"translation"*: ✅ **CORRECT**.
- **(B)** *"rotation"*: ❌ **INCORRECT**.
- **(C)** *""*: ❌ **INCORRECT**.
- **(D)** *""*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **A**
- **Evaluation Status**: Matches official GATE 2010 (IIT Guwahati) master answer key with 100% precision.