A damped oscillator loses 20% of its energy on each oscillation

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

A damped oscillator loses 20% of its energy on each oscillation. When the oscillator's energy has been reduced to below 1% of its initial energy, how many oscillations will it have completed? (1) 4 (2) 5 (3) 21 (4) 41

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