NEET Physics: System of Particles and Rotational Motion — MCQ Test 22

Q6. Two vectors are given as \( \mathbf{a} = 6 \, \hat{\mathbf{i}} + 3 \, \hat{\mathbf{j}} \) and \( \mathbf{b} = -4 \, \hat{\mathbf{i}} + 2 \, \hat{\mathbf{j}} \). What is the magnitude of \( \mathbf{a} \times \mathbf{b} \)?

Q7. A wheel with moment of inertia \( 5 \, \text{kg m}^2 \) rotates at \( 3 \, \text{rad/s} \). A torque of \( 10 \, \text{Nm} \) acts for \( 5 \, \text{s} \). What is its final angular velocity?

Q8. A \( 4 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = 3 \, \hat{\mathbf{i}} + 5 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = -2 \, \hat{\mathbf{i}} \, \text{m} \). What is the z-component of its angular momentum?

Q9. A \( 6 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = 3 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = -4 \, \hat{\mathbf{i}} \, \text{m} \). What is the magnitude of its angular momentum about the origin?

Q10. A uniform square lamina of side \( 4 \, \text{m} \) and mass \( 8 \, \text{kg} \) has one corner at the origin and lies along the x- and y-axes. What is the position of its center of mass?

NEET Physics — System of Particles and Rotational Motion

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A force \( \mathbf{F} = 7 \, \hat{\mathbf{i}} + 3 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = -2 \, \hat{\mathbf{i}} + 1 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of the torque 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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10
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Key concepts covered in this specific test include Magnitude, Velocity, Doubling, Rotating, Assuming, and Constant.

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 force \( \mathbf{F} = 7 \, \hat{\mathbf{i}} + 3 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = -2 \, \hat{\mathbf{i}} + 1 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of the torque about the origin?

  • A. 12 Nm
  • B. 13 Nm
  • C. 14 Nm
  • D. 15 Nm

Q2. A wheel with moment of inertia \( 8 \, \text{kg m}^2 \) rotates at \( 2 \, \text{rad/s} \). A torque of \( 16 \, \text{Nm} \) acts for \( 3 \, \text{s} \). What is its final angular velocity?

  • A. 6 rad/s
  • B. 7 rad/s
  • C. 8 rad/s
  • D. 9 rad/s

Q3. What is the effect of doubling the radius of a rotating disk on its moment of inertia, assuming mass remains constant?

  • A. It doubles
  • B. It quadruples
  • C. It halves
  • D. It remains the same

Q4. In a rigid body undergoing both translation and rotation, what describes the motion of any point?

  • A. Pure translational velocity only
  • B. Pure rotational velocity only
  • C. Combination of translational and rotational velocities
  • D. Zero velocity at all points

Q5. A solid sphere of mass \( 2 \, \text{kg} \) and radius \( 0.6 \, \text{m} \) rotates about its center at \( 5 \, \text{rad/s} \). What is its rotational kinetic energy?

  • A. 3.2 J
  • B. 3.6 J
  • C. 4.0 J
  • D. 4.4 J

+ 5 more questions in the actual test

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