Simple Harmonic Motion

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Questions and Answers

What is the significance of the negative sign in the equation F = -ky?

  • It indicates the force is proportional to the square of the displacement
  • It indicates the direction of force is in the same direction as displacement
  • It indicates the direction of force is opposite to the displacement (correct)
  • It indicates the force is inversely proportional to the displacement

What is the physical significance of the term ω² in the equation ω² = k/m?

  • It represents the spring constant of the spring
  • It represents the angular frequency of the oscillation (correct)
  • It represents the amplitude of the oscillation
  • It represents the moment of inertia of the particle

What is the kinetic energy of the particle when it is at its extreme position?

  • Equal to the potential energy
  • Zero
  • Maximum
  • Minimum (correct)

What is the physical significance of the term 'a' in the equation a = -ky/m?

<p>It represents the acceleration of the particle (A)</p> Signup and view all the answers

What is the total mechanical energy of the system at any given time?

<p>It is equal to the sum of kinetic and potential energy (C)</p> Signup and view all the answers

What is the effect of increasing gravity on the time period of a simple pendulum?

<p>It decreases (C)</p> Signup and view all the answers

What is the inertia factor of a simple pendulum?

<p>m (C)</p> Signup and view all the answers

What happens to the time period of a simple pendulum when the temperature increases?

<p>It increases (A)</p> Signup and view all the answers

What is the relationship between the amplitude and the time period of a simple pendulum?

<p>The time period is independent of the amplitude (B)</p> Signup and view all the answers

What is the spring factor of a simple pendulum?

<p>mg/l (D)</p> Signup and view all the answers

What is the relationship between the acceleration and displacement of a harmonic oscillator?

<p>Acceleration ∝ – (Displacement) (D)</p> Signup and view all the answers

What is the physical significance of the inertia factor 'm' in a linear SHM?

<p>It is the mass of the body executing SHM (D)</p> Signup and view all the answers

What is the effect of gravity on the amplitude of a harmonic oscillator?

<p>Gravity has no effect on the amplitude of the oscillator (D)</p> Signup and view all the answers

What is the physical significance of the spring factor 'k' in an angular SHM?

<p>It is the restoring torque per unit angular displacement (B)</p> Signup and view all the answers

How does the temperature affect the period of a harmonic oscillator?

<p>The period remains constant with change in temperature (A)</p> Signup and view all the answers

What is the velocity of the particle at the mean position in SHM?

<p>Maximum (B)</p> Signup and view all the answers

What is the direction of the velocity of the particle in SHM?

<p>Either towards or away from the mean position (B)</p> Signup and view all the answers

What is the acceleration of the particle at the extreme position in SHM?

<p>Maximum (D)</p> Signup and view all the answers

What is the relationship between the force and acceleration in SHM?

<p>F = -mA (A)</p> Signup and view all the answers

What is the shape of the graph between the velocity and displacement of a particle in SHM?

<p>Ellipse (C)</p> Signup and view all the answers

What is the kinetic energy of a particle in simple harmonic motion when it is at its mean position?

<p>Maximum (B)</p> Signup and view all the answers

What is the relationship between acceleration and displacement in simple harmonic motion?

<p>Acceleration is inversely proportional to displacement (A)</p> Signup and view all the answers

What is the maximum value of force in simple harmonic motion?

<p>mω²a (B)</p> Signup and view all the answers

What is the potential energy of a particle in simple harmonic motion at its extreme position?

<p>Maximum (C)</p> Signup and view all the answers

What is the frequency of variation of kinetic energy in simple harmonic motion?

<p>2ω (C)</p> Signup and view all the answers

What is the expression for the kinetic energy of the particle in S.H.M.?

<p>1/2 mω²(a² - y²) (C)</p> Signup and view all the answers

What is the phase angle by which acceleration leads velocity in S.H.M.?

<p>π / 2 (D)</p> Signup and view all the answers

What is the maximum potential energy in S.H.M.?

<p>1/2 ka² (C)</p> Signup and view all the answers

What is the ratio of acceleration amplitude to displacement amplitude in S.H.M.?

<p>ω² (D)</p> Signup and view all the answers

What is the force at the mean position in S.H.M.?

<p>0 (B)</p> Signup and view all the answers

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NEET Physics Notes - Chapter 16 - Simple Harmonic Motion PDF

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