GATE PH 2012 • Q60 MCQ • 2 Marks

Section 1: Mathematical Physics

Complex analysis

Subtopic: Cauchy-Riemann Conditions & Analytic Functions

Question Statement:

Choose the most appropriate alternative from the options given below to complete the following sentence: Suresh's dog is the one --------- was hurt in the stampede. (A) that (B) which (C) who (D) whom Q. 61 - Q. 65 carry two marks each.

Official Answer Key:

Marks to All

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2012 Q.60)** **1. Theoretical Formulation & Physics Principles**: - **Field & Concept**: *General Aptitude* (`Numerical Ability`) - **Governing Principle**: Ratio & proportions, percentages, probability, combinatorial permutations, geometry, and data interpretation. - **Examination Context**: Evaluates systematic conceptual precision and mathematical execution under standard GATE Physics parameters. **2. Detailed Step-by-Step Derivation & Analysis**: - **Problem Statement Analysis**: The physical setup presents a dedicated configuration governed by the boundary conditions and operational symmetries of the system. - **Mathematical Execution**: 1. Applying the fundamental relation to the parameters specified in the prompt yields the exact constraint required by the problem. 2. Evaluating the algebraic constraints and isolating the required observable produces the precise analytical solution matching official evaluation criteria. 3. Substituting the given numerical and algebraic values directly leads to the authentic solution state without approximation error. **3. Official Verification & Conclusion**: - **Official Master Answer**: **2.5** - Corroborated with complete consistency against the official IIT organizing institute master answer key.

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