The displacement of a damped harmonic oscillator is given by x(t) = e⁻⁰·¹¹ᵗcos(10πt + φ). Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to: 4s, 7s, 13s, 27s<p></p>

The displacement of a damped harmonic oscillator is given by x(t) = e⁻⁰·¹¹ᵗcos(10πt + φ). Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to: 4s, 7s, 13s, 27s

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Question:

The displacement of a damped harmonic oscillator is given by x(t) = e⁻⁰·¹¹ᵗcos(10πt + φ). Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to: 4s, 7s, 13s, 27s

Solution: