NEET Physics: Oscillations — MCQ Test 4

Q6. Two springs (\( k = 150 \, \text{N/m} \)) are attached to a \( 3 \, \text{kg} \) mass as in Fig. 13.14. What is the frequency?

Q7. A particle executes SHM with an amplitude of \( 5 \, \text{cm} \) and a period of \( 2 \, \text{s} \). What is the maximum speed of the particle? (Take \( \pi = 3.14 \))

Q8. What underlies the ability of SHM to be represented as a projection of uniform circular motion?

Q9. What is the physical significance of the angular frequency in SHM?

Q10. In SHM, what is the relationship between the magnitudes of maximum acceleration and maximum velocity?

Q11. A spring-mass system has \( m = 0.2 \, \text{kg}, k = 80 \, \text{N/m} \). If displaced by \( 5 \, \text{cm} \), what is the total energy?

Q12. A spring system has \( k = 500 \, \text{N/m}, m = 2 \, \text{kg} \). What is the maximum acceleration if \( A = 8 \, \text{cm} \)?

Q13. A mass oscillates with \( v = -9 \sin (3t) \) (in m/s). What is its displacement function?

Q14. A particle’s displacement is \( x = 6 \cos (\pi t + \frac{\pi}{6}) \) (in m). What is its velocity at \( t = 0.5 \, \text{s} \)? (Take \( \sin 60^\circ = \frac{\sqrt{3}}{2} \))

Q15. A simple pendulum has a period of \( 3 \, \text{s} \) on Earth (\( g = 9.8 \, \text{m/s}^2 \)). What is its length?

NEET Physics — Oscillations

Free MCQ Test 4 of 20

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A particle in SHM has \( v = -10 \sin (2t + \frac{\pi}{2}) \) (in m/s). What is its displacement function?

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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, Function, Property, Frequency, 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 particle in SHM has \( v = -10 \sin (2t + \frac{\pi}{2}) \) (in m/s). What is its displacement function?

  • A. \( 5 \sin (2t) \)
  • B. \( 5 \cos (2t + \frac{\pi}{2}) \)
  • C. \( 10 \cos (2t) \)
  • D. \( 10 \sin (2t + \frac{\pi}{2}) \)

Q2. Which property of an SHM system ensures that the frequency remains constant regardless of the energy imparted?

  • A. The linearity of the restoring force
  • B. The conservation of kinetic energy
  • C. The variation of potential energy
  • D. The amplitude dependence

Q3. A particle in SHM has \( x = 5 \sin (3t + \frac{\pi}{4}) \) (in m). What is its speed at \( t = 0.25 \, \text{s} \)? (Take \( \cos 45^\circ = \frac{\sqrt{2}}{2} \))

  • A. 0.4 m/s
  • B. 0.5235 m/s
  • C. 0.6 m/s
  • D. 0.8 m/s

Q4. Which function represents SHM? (\( \omega \) is a positive constant)

  • A. \( \sin \omega t + 2 \cos 3\omega t \)
  • B. \( 5 \cos (\omega t - \frac{\pi}{3}) \)
  • C. \( e^{\omega t} \)
  • D. \( \sin^3 \omega t \)

Q5. A particle in SHM has an amplitude of \( 15 \, \text{cm} \) and a frequency of \( 2 \, \text{Hz} \). What is its maximum velocity? (Take \( \pi = 3.14 \))

  • A. 1.5 m/s
  • B. 1.8 m/s
  • C. 1.884 m/s
  • D. 2.0 m/s

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