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NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Oscillations

NEET 2008 · Physics · Oscillations

Two simple harmonic motions of angular frequency 100 rad/s and 1000...

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

Options

  1. A1:101: 10
  2. B1:1021: 10^2
  3. C1:1031: 10^3
  4. D1:1041: 10^4

Correct answer

B. 1:1021: 10^2

Step-by-step solution

Acceleration of simple harmonic motion is amax⁡=−ω2Aa_{\max }=-\omega^2 A or (amax⁡)1(amax⁡)2=ω12ω22\frac{\left(a_{\max }\right)_1}{\left(a_{\max }\right)_2}=\frac{\omega_1^2}{\omega_2^2} (as AA remains same) or (amax⁡)1(amax⁡)2=(100)2(1000)2=(110)2=1:102\frac{\left(a_{\max }\right)_1}{\left(a_{\max }\right)_2}=\frac{(100)^2}{(1000)^2}=\left(\frac{1}{10}\right)^2=1: 10^2
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