NEET Physics: System of Particles and Rotational Motion — MCQ Test 21

Q6. Which of the following is a requirement for a rigid body to be in mechanical equilibrium?

Q7. A thin ring of mass \( 3 \, \text{kg} \) and radius \( 0.4 \, \text{m} \) rotates about its center at \( 5 \, \text{rad/s} \). What is its rotational kinetic energy?

Q8. A solid sphere of mass \( 6 \, \text{kg} \) and radius \( 0.4 \, \text{m} \) has an angular momentum of \( 11.52 \, \text{kg m}^2/\text{s} \). What is its angular velocity?

Q9. A thin ring of mass \( 1 \, \text{kg} \) and radius \( 0.4 \, \text{m} \) has a kinetic energy of \( 8 \, \text{J} \). What is its angular speed?

Q10. A torque of \( 25 \, \text{Nm} \) acts on a wheel with moment of inertia \( 5 \, \text{kg m}^2 \) starting from rest. What is its angular speed after \( 2 \, \text{s} \)?

NEET PhysicsSystem of Particles and Rotational Motion

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A \( 3 \, \text{kg} \) particle has a velocity \( \mathbf{v} = 2 \, \hat{\mathbf{i}} \, \text{m/s} \) at position \( \mathbf{r} = 4 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of its angular momentum about the origin?

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About this NEET MCQ Test

This page provides a free online MCQ test for NEET Physics preparation, focusing specifically on the chapter System of Particles and Rotational Motion. It contains 10 carefully selected multiple-choice questions (MCQs) designed to test your conceptual understanding and exam readiness.

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Key concepts covered in this specific test include Particle, Velocity, Position, Magnitude, Momentum, and Expression.

Taking these timed MCQ tests helps you simulate the real NEET exam environment. Detailed step-by-step explanations are provided for every question to help you learn from your mistakes and strengthen your fundamentals.

Preview of Questions in this Test

Q1. A \( 3 \, \text{kg} \) particle has a velocity \( \mathbf{v} = 2 \, \hat{\mathbf{i}} \, \text{m/s} \) at position \( \mathbf{r} = 4 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of its angular momentum about the origin?

  • A. 6 kg m²/s
  • B. 8 kg m²/s
  • C. 10 kg m²/s
  • D. 12 kg m²/s

Q2. In the expression \( \mathbf{v} = \mathbf{\omega} \times \mathbf{r} \), what does \( \mathbf{v} \) represent?

  • A. Angular velocity
  • B. Linear velocity
  • C. Torque
  • D. Angular momentum

Q3. A uniform rod of mass \( 5 \, \text{kg} \) and length \( 2 \, \text{m} \) is pivoted at its center. What is its moment of inertia about the pivot?

  • A. 1.5 kg m²
  • B. 1.67 kg m²
  • C. 2.0 kg m²
  • D. 2.5 kg m²

Q4. A \( 3 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = 6 \, \hat{\mathbf{i}} - 4 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 2 \, \hat{\mathbf{j}} \, \text{m} \). What is the z-component of its angular momentum?

  • A. -14 kg m²/s
  • B. -12 kg m²/s
  • C. -10 kg m²/s
  • D. -8 kg m²/s

Q5. What happens to the angular velocity of a rigid body if the net external torque is zero?

  • A. It increases
  • B. It decreases
  • C. It remains constant
  • D. It becomes zero

+ 5 more questions in the actual test

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