The amplitude of a damped oscillator becomes half in one minutes. The amplitude after 3 minutes will be 1/x times of the original . Determine the value of x.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the relationship of amplitude in a damped oscillator
The amplitude \( A(t) \) of a damped oscillator can be expressed as:
\[ A(t) = A_0 e^{-\gamma t} \]
where \( A_0 \) is the initial amplitude, \( \gamma \) is the damping constant, and \( t \) is time.
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