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

G1 Physics · Accepted Answer

Step 1: The maximum acceleration of SHM is aₘₐₓ = ω²A. Step 2: Equal amplitudes cancel when taking the ratio. Step 3: a₁ₘₐₓ : a₂ₘₐₓ = (100)² : (1000)² = 1 : 100 = 1 : 10². Final answer: (B) 1 : 10².