f (alP) (C) f(a - P) (B) /(a + B) (D) 2x2 zero matrix An artificial satellite remains in orbit and does not fall to the earth because
Options:
(A) the centrifugal force acting on it balances the gravitational attraction
(B) the on-board rocket motors provide continuous boost to keep it in orbit
(C) its transverse velocity keeps it from hitting the earth although it falls continuously
(D) due to its high speed it derives sufficient lift from the rarefied atmosphere
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2007 Q.3)**
**1. Governing Concept & Theory**:
This problem evaluates **Quantitative 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 **(B)** (`the on-board rocket motors provide continuous boost to keep it in orbit`) 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 2007 master key with 100% accuracy.
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