# The amplitude of a damped oscillator decreases to

Question:

The amplitude of a damped oscillator decreases to $0.9$ times its original magnitude in $5 \mathrm{~s}$. In another $10 \mathrm{~s}$ it will decrease to a times its original magnitude, where a equals:

1. $0.81$

2. $0.729$

3. $0.6$

4. $0.7$

Correct Option: , 2

Solution: