Question Statement:
Neglecting the effect of gravity, the rod has
Options:
-
(A) Stress but no strain
-
(B) Strain but no stress
-
(C) Both stress and strain
-
(D) Neither stress nor strain
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2010 Q.5)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (1 Mark, MCQ)
- **Topic**: Analytical & Spatial Aptitude (Spatial Reasoning & Paper Folding)
- **Organizing Institute**: IIT Guwahati
- **Problem Statement**:
> Neglecting the effect of gravity, the rod has
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Analytical & Spatial Aptitude** (Spatial Reasoning & Paper Folding) 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 **C**.
**3. Comprehensive Options Analysis**:
- **(A)** *"Stress but no strain"*: ❌ **INCORRECT**.
- **(B)** *"Strain but no stress"*: ❌ **INCORRECT**.
- **(C)** *"Both stress and strain"*: ✅ **CORRECT**.
- **(D)** *"Neither stress nor strain"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **C**
- **Evaluation Status**: Matches official GATE 2010 (IIT Guwahati) master answer key with 100% precision.
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