Velocity of an object fired directly in upward direction is given by ݐwhere ݐtime)
is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?
(A) (1, 3/2) (B) (1/2, 1)
(C) (1/2, 3/2) (D) (1, 3)
Options:
(A) (1, 3/2)
(B) (1/2, 1)
(C) (1/2, 3/2)
(D) (1, 3)
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.61)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: GA
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"Velocity of an object fired directly in upward direction is given by ݐwhere ݐtime)
is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?..."*
- **Option (C) [CORRECT]**: *"(1/2, 3/2)"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"(1, 3/2)"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"(1/2, 1)"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"(1, 3)"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **C**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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