GATE PH 2016 • Q38 NAT • 2 Marks

Section 9: Nuclear and Particle Physics

Nuclear & Particle Physics

Subtopic: Nuclear Models, Radioactivity & Elementary Particles

Question Statement:

In an inertial frame of reference S, an observer finds two events occurring at the same time at co- ordinates 01 x and .2 d x A different inertial frame S moves with velocity v with respect to S along the positive x-axis. An observer in S also notices these two events and finds them to occur at times 1t and 2t and at positions 1x and ,2x respectively. If 1 2t t t , 1 2x x x and 2 2v1 1 c   , which of the following statements is true ? (A) d x t , 0 (B) d x t , 0 (C) d x c d t    , v2 (D)  d x c d t   , v2 6/10

Official Answer Key:

2.5

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2016 Q.38)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Nuclear & Particle Physics** within *Section 9: Nuclear and Particle Physics* (2 Marks, NAT). **2. Quantitative Numerical Calculation**: - Identifying known experimental values and physical constants for Nuclear & Particle Physics. - 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**.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test