NEET Physics: Oscillations — MCQ Test 9

Q6. Two identical springs (\( k = 90 \, \text{N/m} \)) are attached to a \( 1.8 \, \text{kg} \) mass as in Fig. 13.14. What is the period?

Q7. A particle’s displacement is \( x = 3 \cos (4\pi t + \frac{\pi}{3}) \) (in m). What is its velocity at \( t = 0 \, \text{s} \)? (Take \( \sin 60^\circ = \frac{\sqrt{3}}{2} \))

Q8. Two identical springs (\( k = 75 \, \text{N/m} \)) are attached to a \( 1.5 \, \text{kg} \) mass as in Fig. 13.14. What is the frequency?

Q9. Which aspect of SHM ensures that the time period is independent of the initial conditions?

Q10. A simple pendulum has a frequency of \( 0.4 \, \text{Hz} \) on Earth (\( g = 9.8 \, \text{m/s}^2 \)). What is its length?

Q11. Which factor primarily dictates the frequency of oscillation in a spring-mass system?

Q12. A spring of \( k = 400 \, \text{N/m} \) has a \( 2 \, \text{kg} \) mass. If \( E = 2 \, \text{J} \), what is the amplitude?

Q13. What causes the restoring force in a spring-mass system to initiate SHM?

Q14. A particle in SHM has an amplitude of \( 9 \, \text{cm} \) and a period of \( 0.8 \, \text{s} \). What is its maximum velocity? (Take \( \pi = 3.14 \))

Q15. A mass of \( 1 \, \text{kg} \) on a spring with \( k = 100 \, \text{N/m} \) has \( A = 15 \, \text{cm} \). What is the kinetic energy at \( x = 7.5 \, \text{cm} \)?

NEET Physics — Oscillations

Free MCQ Test 9 of 20

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Medium

A particle’s x-projection from circular motion is \( x = 7 \cos (3t) \) (in m). What is its maximum acceleration?

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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, Projection, Circular, Acceleration, Oscillates, and Amplitude.

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 x-projection from circular motion is \( x = 7 \cos (3t) \) (in m). What is its maximum acceleration?

  • A. 50 m/s²
  • B. 55 m/s²
  • C. 63 m/s²
  • D. 70 m/s²

Q2. A mass oscillates with \( v = -6 \sin (4t) \) (in m/s). What is its amplitude?

  • A. 1.0 m
  • B. 1.2 m
  • C. 1.5 m
  • D. 2.0 m

Q3. A mass of \( 1.5 \, \text{kg} \) on a spring with \( k = 150 \, \text{N/m} \) has \( A = 12 \, \text{cm} \). What is the kinetic energy at \( x = 6 \, \text{cm} \)?

  • A. 0.6 J
  • B. 0.7 J
  • C. 0.81 J
  • D. 0.9 J

Q4. In SHM, which quantity is maximized when the particle’s displacement is zero?

  • A. Acceleration
  • B. Potential energy
  • C. Displacement
  • D. Kinetic energy

Q5. In an oscillatory system, if the displacement and acceleration are always in opposite directions, what type of motion is exhibited?

  • A. Simple harmonic motion
  • B. Uniform circular motion
  • C. Random oscillatory motion
  • D. Non-periodic motion

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