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Free, damped and forced oscillations - class-XI

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Multiple Choice

$mx^{2} - bx + k = 0$. Find time after which to the energy will become half of initial maximum value in damped forced oscillation.

  1. $t = \dfrac {m}{b} + \dfrac {1}{2} ln2$
  2. $t = \dfrac {m}{b} \times \dfrac {2}{3} ln2$
  3. $t = \dfrac {m}{b} - \dfrac {1}{2} ln2$
  4. $t = \dfrac {m}{b} \times \dfrac {1}{2} ln2$
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