Subtopic: Wave Mechanics, Operators & Perturbation Theory
Question Statement:
A uniform circular disk of radius R and mass M is rotating with angular speed about an axis,
passing through its center and inclined at an angle 60 degrees with respect to its symmetry axis. The
magnitude of the angular momentum of the disk is,
(A) √ଷ
ସ ଶ (B) √ଷ
଼ ଶ (C) √
଼ ଶ (D) √
ସ ଶ
Official Answer Key:
2.5
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2013 Q.32)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Quantum Mechanics** within *Section 4: Quantum Mechanics* (1 Mark, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Quantum Mechanics.
- 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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