NEET Physics: Oscillations — MCQ Test 5

Q6. In a simple pendulum executing SHM, what ensures that the period is independent of the initial angular displacement?

Q7. A particle in SHM has \( x = 3 \cos (2t + \frac{\pi}{6}) \) (in m). What is its speed at \( t = 0.5 \, \text{s} \)? (Take \( \sin \frac{4\pi}{6} = 1 \))

Q8. A spring-mass system has \( T = 0.2 \, \text{s}, m = 0.8 \, \text{kg} \). What is the spring constant?

Q9. A particle in SHM has an amplitude of \( 12 \, \text{cm} \) and a period of \( 1.2 \, \text{s} \). What is its maximum velocity? (Take \( \pi = 3.14 \))

Q10. In SHM, why does the particle’s velocity lead its displacement by \( \pi/2 \) radians?

Q11. A mass of \( 2 \, \text{kg} \) is attached to a spring with \( k = 200 \, \text{N/m} \). What is the frequency of oscillation?

Q12. A particle in SHM has \( x = 6 \sin (2\pi t + \frac{\pi}{4}) \) (in cm). What is its acceleration at \( t = 0.25 \, \text{s} \)?

Q13. A particle’s displacement is \( x = 7 \sin (2t + \frac{\pi}{4}) \) (in m). What is its velocity at \( t = 0 \, \text{s} \)? (Take \( \cos 45^\circ = \frac{\sqrt{2}}{2} \))

Q14. A particle in SHM has \( x = 3 \sin (4t + \frac{\pi}{3}) \) (in m). What is its acceleration at \( t = 0.25 \, \text{s} \)? (Take \( \cos 60^\circ = 0.5 \))

Q15. Why does the frequency of a spring-mass system increase when a stiffer spring is used?

NEET Physics — Oscillations

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Why does the period of a spring-mass system differ fundamentally from that of a simple pendulum in terms of gravitational influence?

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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 Fundamentally, Pendulum, Gravitational, Influence, Frequency, and Following.

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. Why does the period of a spring-mass system differ fundamentally from that of a simple pendulum in terms of gravitational influence?

  • A. The spring adjusts to gravitational changes
  • B. The mass cancels gravitational effects
  • C. The amplitude compensates for gravity
  • D. The restoring force excludes gravity

Q2. A simple pendulum has a frequency of \( 0.3 \, \text{Hz} \) on Earth (\( g = 9.8 \, \text{m/s}^2 \)). What is its length?

  • A. 2.5 m
  • B. 2.76 m
  • C. 3.0 m
  • D. 3.5 m

Q3. Which of the following functions represents SHM? (Assume \( \omega \) is a positive constant)

  • A. \( \sin \omega t + \cos 2\omega t \)
  • B. \( 2 \sin (\omega t + \frac{\pi}{4}) \)
  • C. \( e^{-\omega t} \)
  • D. \( \log (\omega t) \)

Q4. A spring-mass system has \( m = 1.5 \, \text{kg}, k = 600 \, \text{N/m} \). What is its period?

  • A. 0.2 s
  • B. 0.314 s
  • C. 0.4 s
  • D. 0.5 s

Q5. Two springs, each of \( k = 50 \, \text{N/m} \), are connected in parallel to a \( 2 \, \text{kg} \) mass. What is the period of oscillation?

  • A. 0.63 s
  • B. 0.89 s
  • C. 1.0 s
  • D. 1.26 s

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