MHT CET · Physics · Oscillations
Two simple harmonic motions of angular frequency \(300 \mathrm{rad} / \mathrm{s}\) and \(3000 \mathrm{rad} / \mathrm{s}\) have same amplitude. The ratio of their maximum accelerations is
- A \(1: 10\)
- B \(1: 10^2\)
- C \(1: 10^3\)
- D \(1: 10^4\)
Answer & Solution
Correct Answer
(B) \(1: 10^2\)
Step-by-step Solution
Detailed explanation
\(a_{max} = A\omega^2\) \(\frac{a_{max,1}}{a_{max,2}} = \frac{A\omega_1^2}{A\omega_2^2} = \left(\frac{\omega_1}{\omega_2}\right)^2\)
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