Two Simple Harmonic Motions of angular frequency 100 and $1000 \mathrm{rad} \mathrm{s}^{-1}$ have the same…

Two Simple Harmonic Motions of angular frequency 100 and $1000 \mathrm{rad} \mathrm{s}^{-1}$ have the same displacement amplitude. The ratio of their maximum accelerations is
  1. $1: 10^4$
  2. $1: 10$
  3. $1: 10^2$
  4. $1: 10^3$

Solution

$\frac{\left(a_{\max }\right)_1}{\left(a_{\max }\right)_2}=\frac{\omega_1^2 A}{\omega_2^2 A}=\left(\frac{100}{1000}\right)^2=\frac{1}{10^2}$ /

Asked in: NEET 2008 (Mains)

Practice more Oscillations questions on Aicharya