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Question

Physics Question on simple harmonic motion

The amplitude of a damped oscillator becomes one half after tt second. If the amplitude becomes (1/n)(1/n) after 3t3 \,t second, then nn is equal to

A

18\frac{1}{8}

B

8

C

14\frac{1}{4}

D

4

Answer

8

Explanation

Solution

A = 12×12×12=18=1n\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8} = \frac{1}{n} . Hence n = 8