NEET Physics: System of Particles and Rotational Motion — MCQ Test 11

Q6. A \( 1 \, \text{kg} \) mass rotates in a circle of radius \( 0.5 \, \text{m} \) with a speed of \( 4 \, \text{m/s} \). What is its angular momentum about the center?

Q7. A force \( \mathbf{F} = 6 \, \hat{\mathbf{i}} - 2 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = 3 \, \hat{\mathbf{i}} + 4 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of the torque about the origin?

Q8. A uniform square plate of side \( 6 \, \text{m} \) and mass \( 9 \, \text{kg} \) has one corner at \( (2, 2) \) along the x- and y-axes. What is the position of its center of mass?

Q9. What is the direction of the angular velocity vector for a body rotating about a fixed axis?

Q10. Two particles of masses \( 5 \, \text{kg} \) and \( 3 \, \text{kg} \) are at \( (0, 4) \) and \( (8, 0) \) respectively. What is the distance of their center of mass from the origin?

NEET PhysicsSystem of Particles and Rotational Motion

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Two particles of masses \( 4 \, \text{kg} \) and \( 6 \, \text{kg} \) are at \( (0, 7) \) and \( (8, 3) \) respectively. What is the distance of their center of mass from 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 Particles, Respectively, Distance, Momentum, Velocity, and Circular.

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. Two particles of masses \( 4 \, \text{kg} \) and \( 6 \, \text{kg} \) are at \( (0, 7) \) and \( (8, 3) \) respectively. What is the distance of their center of mass from the origin?

  • A. 6.4 m
  • B. 6.65 m
  • C. 6.8 m
  • D. 7.0 m

Q2. A solid sphere of mass \( 5 \, \text{kg} \) and radius \( 0.2 \, \text{m} \) rotates at \( 10 \, \text{rad/s} \). What is its angular momentum about its axis?

  • A. 0.6 kg m²/s
  • B. 0.7 kg m²/s
  • C. 0.8 kg m²/s
  • D. 0.9 kg m²/s

Q3. A solid sphere of mass \( 2 \, \text{kg} \) and radius \( 0.1 \, \text{m} \) has an angular momentum of \( 4 \, \text{kg m}^2/\text{s} \) about its axis. What is its angular velocity?

  • A. 400 rad/s
  • B. 450 rad/s
  • C. 500 rad/s
  • D. 550 rad/s

Q4. A uniform circular disk of radius \( 4 \, \text{m} \) and mass \( 8 \, \text{kg} \) has its center at \( (-1, 3) \). What is the position of its center of mass?

  • A. \( (0, 2) \)
  • B. \( (-1, 2) \)
  • C. \( (-1, 3) \)
  • D. \( (0, 3) \)

Q5. Vectors \( \mathbf{a} = 4 \, \hat{\mathbf{i}} - 2 \, \hat{\mathbf{j}} \) and \( \mathbf{b} = 3 \, \hat{\mathbf{i}} + 5 \, \hat{\mathbf{j}} \) are given. What is the direction of \( \mathbf{a} \times \mathbf{b} \)?

  • A. \( -\hat{\mathbf{k}} \)
  • B. \( \hat{\mathbf{i}} \)
  • C. \( \hat{\mathbf{j}} \)
  • D. \( \hat{\mathbf{k}} \)

+ 5 more questions in the actual test

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