If the angular velocity of a wheel is halved, how does its rotational kinetic energy change?

This question investigates the relationship between angular velocity and rotational kinetic energy.

Create a series of multiple-choice questions (MCQs) for CBSE Class 11 Physics, Chapter 6: “System of Particles and Rotational Motion,” based on the NCERT syllabus for the 2024-2025 academic year. The questions should comprehensively address crucial concepts such as the center of mass, torque, angular momentum, rotational dynamics and equilibrium. Include a well-rounded mix of theoretical and numerical problems to test students’ understanding of the core principles and their ability to apply them in problem-solving scenarios. The difficulty level of the questions should range from basic to advanced, catering to students of different levels of proficiency. Focus on clear, concise phrasing to eliminate ambiguity and ensure students can focus on the concepts being tested. Additionally, make sure the questions are closely aligned with the NCERT guidelines, providing students with relevant practice that aids in effective exam preparation while reinforcing their overall grasp of the topics in rotational motion and systems of particles.