Question

the amplitude a of damped oscillator becomes half in 5 mins. the amplitude after 10 minutes will be​

Answer 1

Answer:

Explanation:

Amplitude of damped oscillator                    A=A0e−λt; λ =constant, t = time                    For t =1 min. A02=A0e−λt⇒eλ=2                    For t = 3 min. A=A0e−λ×3=A0(eλ)3=A023  

Answer 2

the amplitude a of damped oscillator becomes half in 5 mins. the amplitude after 10 minutes will be​ one-fourth

Explanation:

Let the amplitude be A

Since the amplitude becomes half in 5 minutes

Therefore, after 5 minutes, the amplitude = A/2

In the next 5 minutes, the amplitude will be half of this value

Thus, the amplitude after 10 minutes = A/2² = A/4

Thus, the amplitude after 10 minutes will be 1/4 of the original amplitude.

Hope this answer is helpful.

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