NEET Physics: Oscillations — MCQ Test 20

Q6. A particle’s motion is \( x = 4 \sin (3t - \frac{\pi}{3}) \) (in m). What is its velocity at \( t = \frac{\pi}{6} \, \text{s} \)? (Take \( \cos 30^\circ = \frac{\sqrt{3}}{2} \))

Q7. A pendulum of length \( 0.36 \, \text{m} \) oscillates with \( g = 9.8 \, \text{m/s}^2 \). What is its frequency?

Q8. A pendulum has \( L = 0.6 \, \text{m}, g = 9.8 \, \text{m/s}^2 \). What is its angular frequency?

Q9. Which of the following periodic motions cannot be classified as oscillatory due to the absence of a fixed equilibrium point?

Q10. A particle in SHM has \( x = 4 \cos (2t + \frac{\pi}{3}) \) (in m). What is its speed at \( t = 0.5 \, \text{s} \)? (Take \( \sin 60^\circ = \frac{\sqrt{3}}{2} \))

NEET Physics — Oscillations

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What is the significance of the phase constant in the displacement equation of SHM?

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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 10 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 Significance, Constant, Displacement, Equation, Condition, and Mechanical.

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. What is the significance of the phase constant in the displacement equation of SHM?

  • A. It fixes the initial position of the particle
  • B. It determines the amplitude of oscillation
  • C. It sets the frequency of the motion
  • D. It indicates the maximum velocity

Q2. Which condition ensures that the total mechanical energy in an SHM system remains conserved during the motion?

  • A. Absence of dissipative forces
  • B. Constant amplitude
  • C. Variable angular frequency
  • D. Non-linear restoring force

Q3. A particle in SHM has \( a = -36 x \) (in SI units). What is its frequency?

  • A. 0.5 Hz
  • B. 0.75 Hz
  • C. 0.955 Hz
  • D. 1.2 Hz

Q4. What underlies the periodic nature of SHM when expressed as a superposition of sine and cosine functions?

  • A. The amplitude variation
  • B. The phase shift
  • C. The periodicity of trigonometric functions
  • D. The linear restoring force

Q5. A pendulum has \( L = 1.4 \, \text{m}, g = 9.8 \, \text{m/s}^2 \). What is its angular frequency?

  • A. 2.0 rad/s
  • B. 2.5 rad/s
  • C. 2.65 rad/s
  • D. 3.0 rad/s

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