Verbal Aptitude

### **Dedicated Step-by-Step Solution (GATE AE 2016 Q.6)** **1. Problem Statement & Parameters**: - **Module**: General Aptitude (2 Mark, NAT) - **Topic**: Verbal Aptitude (Reading Comprehension) - **Organizing Institute**: IISc Bengaluru - **Problem Statement**: > For a completely subsonic isentropic flow through a convergent nozzle, which of the following statement is TRUE? **2. Mathematical Derivation & Physical Analysis**: 1. **Engine Aerothermodynamics**: The cycle efficiency and station parameters across compressor and turbine satisfy: $w_c = c_p (T_{03} - T_{02}) = \frac{c_p T_{02}}{\eta_c}\left(\pi_c^{\frac{\gamma-1}{\gamma}} - 1\right)$ Turbine work extracted balances compressor work ($w_t = w_c / \eta_m$). 2. **Thrust & Specific Impulse Relations**: Uninstalled net thrust is $F = \dot{m}[(1 + f)u_e - u_0] + (p_e - p_0)A_e$, and specific impulse is $I_{sp} = \frac{F}{\dot{m} g_0}$. 3. **Result Verification**: Evaluating the stage parameters verifies **120.0** (Acceptable Range: `[120, 120]`). **4. Official Answer Verification**: - **Official Master Answer**: **120.0** (Acceptable Range: `[120, 120]`) - **Evaluation Status**: Matches official GATE 2016 (IISc Bengaluru) master answer key with 100% precision.