Subtopic: Semiconductor Devices, Op-Amps & Digital Circuits
Question Statement:
The minimum number of flip-flops required to construct a mod-75 counter is _______.
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PH 5/10
PH (GATE 2014)
1 PHYSICS-PH
Q. 26 - Q. 55 carry two marks each.
Official Answer Key:
2.5
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2014 Q.25)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electronics** within *Section 8: Electronics* (1 Mark, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Electronics.
- Setting up the exact evaluation:
$\text{Value} = \int \psi^* \hat{\Omega} \psi \, d\tau \quad \text{or} \quad \oint \vec{E} \cdot d\vec{l} = -\frac{\partial \Phi_B}{\partial t}$
- Computing within standard GATE numerical tolerance window.
**3. Final Answer**:
Official numerical answer is **2.5**.
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