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PhysicsSHMMiscellaneousEasy2 minQB
PhysicsEasysingle choice

The displacement of a damped harmonic oscillator is given byxt=e-0.1t cos10πt+φ, wheretis the time in seconds. The time taken for the amplitude of the oscillator to drop to half of its initial value is close to

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Answer:
B
Solution:

A02=A0e-0.1t⇒e-0.1t=2⇒0.1t=ln2

t=ℓn20.1=10en2=6.93=7s

Stream:JEESubject:PhysicsTopic:SHMSubtopic:Miscellaneous
⏱ 2mℹ️ Source: QB

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