NEET Physics: Oscillations — MCQ Test 10

Q6. A spring-mass system has \( m = 0.4 \, \text{kg}, k = 160 \, \text{N/m} \). If displaced by \( 6 \, \text{cm} \), what is the total energy?

Q7. What distinguishes the energy transformation in SHM from that in uniform circular motion?

Q8. A pendulum has \( L = 2.25 \, \text{m}, g = 9.8 \, \text{m/s}^2 \). What is its angular frequency?

Q9. In SHM, if the particle is at an extreme position, what can be inferred about its kinetic energy?

Q10. A spring-mass system has \( m = 0.9 \, \text{kg}, k = 360 \, \text{N/m} \). If displaced by \( 4 \, \text{cm} \), what is the total energy?

Q11. A spring-mass system oscillates with \( T = 0.7 \, \text{s} \) when \( m = 0.7 \, \text{kg} \). What is the spring constant?

Q12. For a simple pendulum, why does the approximation of SHM break down at large amplitudes?

Q13. What is a key reason the simple pendulum deviates from SHM at large angular displacements?

Q14. A spring-mass system has \( m = 4 \, \text{kg}, k = 400 \, \text{N/m} \). If displaced by \( 20 \, \text{cm} \), what is the potential energy at \( x = 10 \, \text{cm} \)?

Q15. A particle in SHM has \( x = 3 \cos (5t) \) (in m). What is its kinetic energy at \( x = 1.5 \, \text{m} \) if \( m = 2 \, \text{kg} \)?

NEET Physics — Oscillations

Free MCQ Test 10 of 20

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A particle’s displacement is \( x = 4 \cos (3\pi t + \frac{\pi}{6}) \) (in m). What is its velocity at \( t = 0 \, \text{s} \)? (Take \( \sin 30^\circ = 0.5 \))

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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 Oscillations. It contains 15 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, Displacement, Velocity, Acceleration, Mechanical, and Position.

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 particle’s displacement is \( x = 4 \cos (3\pi t + \frac{\pi}{6}) \) (in m). What is its velocity at \( t = 0 \, \text{s} \)? (Take \( \sin 30^\circ = 0.5 \))

  • A. -18.84 m/s
  • B. -20 m/s
  • C. -22 m/s
  • D. -25 m/s

Q2. A particle in SHM has \( x = 4 \cos (3t) \) (in m). What is its maximum acceleration?

  • A. 30 m/s²
  • B. 32 m/s²
  • C. 36 m/s²
  • D. 40 m/s²

Q3. In an ideal SHM system, what occurs to the total mechanical energy as the particle moves from the mean position to an extreme position?

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

Q4. Which of the following best explains why the period of a simple pendulum is independent of its mass?

  • A. The amplitude cancels the mass effect
  • B. The spring constant balances the mass
  • C. The restoring force and inertia both depend on mass
  • D. The frequency is inversely proportional to mass

Q5. The period of a simple pendulum is \( 2 \, \text{s} \) when \( g = 9.8 \, \text{m/s}^2 \). What should be the length of the pendulum?

  • A. 0.5 m
  • B. 0.75 m
  • C. 1.0 m
  • D. 1.25 m

+ 10 more questions in the actual test

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