Work power energy NEET 2025 Question Findind Velocity of body rotating in circle

 This video provides a step-by-step walkthrough of a physics problem from the NEET 2025 curriculum, focusing on Work, Power, and Energy. The lesson centers on a common exam scenario: a mass (bob) suspended by a string, rotating in a vertical circle, and calculating its velocity at a specific point.

Concepts Explored:

The tutorial breaks down the problem using three fundamental physics principles:

  • Centripetal Force: We begin by examining the forces acting toward the center of the circle, specifically identifying the component of weight ($mg \sin \theta$) that provides the necessary centripetal force at the point where the string starts to slack.

  • Conservation of Energy: A significant portion of the video demonstrates how to apply the law of conservation of mechanical energy. We compare the total energy at the bottom of the swing (all kinetic) to the total energy at a higher point (a mix of potential and kinetic energy).

  • Trigonometric Application: The solution involves simple trigonometry to relate the vertical height of the mass to the angle of the string, which is essential for calculating potential energy.

Key Problem Milestones:

  • Initial Setup: Understanding the geometry of the string and the horizontal velocity given to the mass [00:19].

  • Force Resolution: Breaking down the weight of the mass into components to find the force acting toward the center [02:01].

  • Energy Balance: Setting up the conservation of energy equation between two points in the circular path [03:31].

  • Mathematical Simplification: Combining the force and energy equations to solve for the ratio of speeds [05:47].

By the end of the walkthrough, we arrive at the final ratio of the speeds.This problem is a great example of how multiple concepts—rotation, energy, and forces—frequently overlap in competitive exam questions.



Solving NEET 2025: Radius and Velocity Ratios in Atomic Models (Step-by-Step)

 Master the Relationship Between Orbit Radius, Velocity, and Quantum Numbers!

Are you preparing for NEET 2025? Atomic physics is a high-scoring section, and questions regarding Bohr’s model are a staple in every paper. In this tutorial, we solve a specific, "ability-testing" problem that explores how the radius (r) and velocity (v) of a particle depend on the principal quantum number (n).

What You Will Learn in This Video:

  • Bohr's Postulates in Action: Learn how to apply Bohr’s quantization of angular momentum (L = mvr to set up your equations [00:00:66].

  • Centripetal Force & Orbits: See how the relation between centripetal force and the orbit radius (mv^2/r = Constant) helps simplify the math [00:20].

  • Proportional Reasoning: We break down the step-by-step substitution to find that r \propto n^{2/3} and v \propto n^{1/3} [00:01:63].

  • Elimination Strategy: Watch how to quickly identify the correct option (Option 4) by solving for just one variable first, saving you precious time during the exam [02:08].

  • Why This Problem Matters: This specific question challenges your understanding of how basic mechanical laws (like force and circular motion) integrate with quantum physics. Mastering these "dependence on $n$" problems is essential for securing a top rank in NEET and JEE.