AIPMT MAIN2008Physics-Oscillations
AIPMT MAIN 2008 Physics Simple Harmonic Motion MCQ Question
Type: MCQ-conceptual-Medium-Class 11
Two Simple Harmonic Motions of angular frequency 100 and 1000 rad s⁻¹ have the same displacement amplitude. The ratio of their maximum accelerations is
A
1 : 10⁴
B
1 : 10
C
1 : 10²
D
1 : 10³
Correct Answer
Option C
Detailed Explanation
The maximum acceleration in simple harmonic motion is given by a_max = ω²A. For two motions with the same amplitude, the ratio of their maximum accelerations is (ω₁/ω₂)². Substituting ω₁ = 100 and ω₂ = 1000, we get (100/1000)² = 1/10².
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