Question

The amplitude of damped oscillator becomes 1/3 in 2sec its amplitude after 6sec is 1/n times the original the value of n is

Answer 1

The amplitude of damped oscillator becomes 1/3 in 2sec its amplitude after 6sec is 1/n times the original the value of n is 27

Explanation:

Let the original amplitude be A

After 2 seconds, the amplitude = A/3

After 4 seconds, the amplitude = A/3² = A/9

After 6 seconds, the amplitude = A/3³ = A/27

Therefore, the amplitude will be 1/27 times the original value of the amplitude

Thus, n = 27

Hope this answer is helpful.

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