NEET Physics: System of Particles and Rotational Motion — MCQ Test 20

Q6. A uniform rod of mass \( 2 \, \text{kg} \) and length \( 1 \, \text{m} \) is pivoted at one end. What is its moment of inertia about the pivot?

Q7. A hollow cylinder of mass \( 1 \, \text{kg} \) and radius \( 0.2 \, \text{m} \) has a kinetic energy of \( 2 \, \text{J} \). What is its angular speed?

Q8. Vectors \( \mathbf{a} = -4 \, \hat{\mathbf{i}} + 3 \, \hat{\mathbf{j}} \) and \( \mathbf{b} = 2 \, \hat{\mathbf{i}} + 5 \, \hat{\mathbf{j}} \) are given. What is the magnitude of \( \mathbf{a} \times \mathbf{b} \)?

Q9. What characterizes pure translational motion of a rigid body?

Q10. A uniform triangular lamina has vertices at \( (0, 0) \), \( (5, 0) \), and \( (0, 6) \). What is the x-coordinate of its center of mass?

NEET PhysicsSystem of Particles and Rotational Motion

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A \( 3 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = 6 \, \hat{\mathbf{i}} \, \text{m/s} \) at \( \mathbf{r} = 2 \, \hat{\mathbf{j}} \, \text{m} \). 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, Magnitude, Momentum, Acceleration, and Cylinder.

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 moves with velocity \( \mathbf{v} = 6 \, \hat{\mathbf{i}} \, \text{m/s} \) at \( \mathbf{r} = 2 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of its angular momentum about the origin?

  • A. 10 kg m²/s
  • B. 11 kg m²/s
  • C. 12 kg m²/s
  • D. 13 kg m²/s

Q2. Vectors \( \mathbf{a} = 8 \, \hat{\mathbf{i}} - 3 \, \hat{\mathbf{j}} \) and \( \mathbf{b} = 2 \, \hat{\mathbf{i}} + 7 \, \hat{\mathbf{j}} \) are given. What is the magnitude of \( \mathbf{a} \times \mathbf{b} \)?

  • A. 60
  • B. 61
  • C. 62
  • D. 63

Q3. A wheel with moment of inertia \( 6 \, \text{kg m}^2 \) rotates at \( 3 \, \text{rad/s} \). A torque of \( 12 \, \text{Nm} \) acts for \( 3 \, \text{s} \). What is its final angular velocity?

  • A. 7 rad/s
  • B. 8 rad/s
  • C. 9 rad/s
  • D. 10 rad/s

Q4. What is the primary source of angular acceleration in a rigid body?

  • A. Linear force
  • B. Net external torque
  • C. Angular velocity
  • D. Mass of the body

Q5. A \( 7 \, \text{kg} \) object moves with a velocity of \( 3 \, \hat{\mathbf{i}} - 4 \, \hat{\mathbf{j}} \, \text{m/s} \). What is the magnitude of the velocity of its center of mass?

  • A. 4.5 m/s
  • B. 5.0 m/s
  • C. 5.5 m/s
  • D. 6.0 m/s

+ 5 more questions in the actual test

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