Physics-
General
Easy

Question

The equation of a damped simple harmonic motion is  m fraction numerator d squared x over denominator d t squared end fraction plus b fraction numerator d x over denominator d t end fraction plus k x equals 0 Then the angular frequency of oscillation is

  1. omega equals open parentheses straight k over straight m minus fraction numerator straight b squared over denominator 4 straight m squared end fraction close parentheses to the power of 1 divided by 2 end exponent
  2. omega equals open parentheses straight k over straight m minus fraction numerator straight b over denominator 4 straight m end fraction close parentheses to the power of 1 divided by 2 end exponent
  3. omega equals open parentheses straight k over straight m minus fraction numerator straight b squared over denominator 4 straight m end fraction close parentheses to the power of 1 divided by 2 end exponent
  4. omega equals open parentheses straight k over straight m minus fraction numerator straight b squared over denominator 4 straight m squared end fraction close parentheses

The correct answer is: omega equals open parentheses straight k over straight m minus fraction numerator straight b squared over denominator 4 straight m squared end fraction close parentheses to the power of 1 divided by 2 end exponent

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