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in Physics by (21.9k points)

The displacement of a damped harmonic oscillator is given by x(t) = e –0.1t cos(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 :

(1) 4 s (2) 13 s (3) 7 s (4) 27 s 

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