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Consider the following the statements 1. The oscillation of a particle with fundamental frequency under the influence of restoring force is defined as forced oscillations 2. The oscillation of a body whose amplitude goes on decreasing with time is defined as damped oscillation. 3. The oscillation in which a body oscillates under the influence of an external periodic force is known as forced oscillation. Which of the following statements is/are correct?
সরল দোল গতিসম্পন্ন একটি বস্তু যখন তার সাম্যাবস্থান থেকে 2 cm দূরে, তখন তার গতিশক্তি স্থিতিশক্তির ও গুণ। বস্তুটির দোলনের বিস্তার কত হবে? (An object oscillating in simple harmonic motion has its kinetic energy 3 times the potential energy when the object is 2 cm away from its equilibrium position. What is the amplitude of the oscillation for the object?)
An object of mass 0.2kg executes simple harmonic motion along the x-axis with a frequency of (25/π)Hz. At the position x = 0.04, the object has kinetic energy of 0.5J and potential energy 0.4J. The amplitude of oscillation is?
Which of the following is/are the characteristics of simple harmonic motion (i) The total energy is conserved (ii) The acceleration is directly proportional to the displacement and is directed towards its mean position (iii) The simple harmonic motion cannot be represented using sinusoidal functions (iv) There are a maximum and minimum displacement about the equilibrium point
A particle executes simple harmonic oscillation. Its amplitude is a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is___________
Consider the following statement In damped oscillation, the amplitude of oscillation decreases exponentially due to damping forces. In damped oscillation, the frequency of the oscillation is slightly reduced.   Which of the following statement is correct?
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
Every simple harmonic motion is periodic motion, but every periodic motion need not be simple harmonic motion.
Consider the following statements.
A Simple Pendulum is set into oscillation. Then,
1. the acceleration is zero when the bob passes through the mean position.
2. in each cycle the bob attains a given velocity twice.
3. both acceleration and velocity of the bob are zero when it reaches its extreme position during the oscillation.
4. the amplitude of oscillation of the simple pendulum decreases with time.
Which of these statements are correct?
A particle is in SHM. When displacement is ‘a‘ potential energy is 8J. When displacement is ‘a‘ potential energy is 18J. What will be the potential energy when displacement is ‘a+b’?