Question:

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

Updated On: Jul 13, 2024
  • $kg\,ms^{-1}$
  • $kg\,ms^{-2}$
  • $kg\,s^{-1}$
  • $kg\,s$
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The Correct Option is C

Solution and Explanation

$F = K v$
$K =\frac{ F }{ v }$
Unit of $K =\frac{ kg ms ^{-2}}{ ms ^{-1}}= kg s ^{-1}$
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Concepts Used:

Energy In Simple Harmonic Motion

We can note there involves a continuous interchange of potential and kinetic energy in a simple harmonic motion. The system that performs simple harmonic motion is called the harmonic oscillator.

Case 1: When the potential energy is zero, and the kinetic energy is a maximum at the equilibrium point where maximum displacement takes place.

Case 2: When the potential energy is maximum, and the kinetic energy is zero, at a maximum displacement point from the equilibrium point.

Case 3: The motion of the oscillating body has different values of potential and kinetic energy at other points.