Two simple harmonic motions of angular frequency 100 and 1000 rad s⁻¹ have the same

Two Simple Harmonic Motions Of Angular Frequency 100 And 1000 Physics QuestionTwo Simple Harmonic Motions Of Angular Frequency 100 And 1000 Physics Question

Two simple harmonic motions of angular frequency 100 and 1000 rad s⁻¹ have the same displacement amplitude. The ratio of other maximum accelerations is:

Options

(a) 1 : 10
(b) 1 : 10²
(c) 1 : 10³
(d) 1 : 10⁴

Correct Answer:

1 : 10²

Explanation:

Maximum acceleration of a particle in the simple harmonic motion is directly proportional to the square of angular frequency i.e., a(max)= – w ² A

As A remains same, we can say
a₁ / a₂ = w₁² / w₂² =  (100)² / (1000)² = 1 / 100
⇒ a₁ : a₂ = 1 : 10²

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