Subtopic: Semiconductor Devices, Op-Amps & Digital Circuits
Question Statement:
An 𝛼 particle is scattered from an Au target at rest as shown in the figure. D1 and
D2 are the detectors to detect the scattered 𝛼 particle at an angle 𝜃 and along the
beam direction, respectively, as shown. The signals from D1 and D2 are converted
to logic signals and fed to logic gates . When a particle is detected, the signal is 1
and is 0 otherwise. Which one of the following circuits detects the particle scattered
at the angle 𝜃 only?
(A)
(B)
(C)
(D)
Official Answer Key:
2.5
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2025 Q.41)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electronics** within *Section 8: Electronics* (2 Marks, 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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