When an oscillator completes 100 oscillations its amplitude is reduced to 1/3 of initial value. What will be its amplitude, when it completes 200 oscillations? (a) 1/8 (b) 2/3 (c) 1/6 (d) 1/9

Answer: (d). Amplitude falls by the same factor in every equal number of oscillations: A = A₀ e-γ t. After 100 oscillations: A₀/3. After 200 oscillations: A₀ × 1/3 × 1/3 = A₀/9. So the answer is (d) 1/9 of the initial value.

When an oscillator completes 100 oscillations its amplitude is… | NEET 2002 (AIPMT)

Q27NEET 2002 · AIPMTMedium

Damped, Forced Oscillations & Superposition

When an oscillator completes 100 oscillations its amplitude is reduced to $\frac{1}{3}$ of initial value. What will be its amplitude, when it completes 200 oscillations?

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Answer: (d)

Amplitude falls by the same factor in every equal number of oscillations: $A = A_0 e^{-\gamma t}$ .
After 100 oscillations: $A_0/3$ .
After 200 oscillations: $A_0 \times \frac{1}{3} \times \frac{1}{3} = \frac{A_0}{9}$ .
So the answer is (d) $\frac{1}{9}$ of the initial value.

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