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13. oscillations — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
Two particles $P$ and $Q$ start from origin and execute Simple Harmonic Motion along $X-$axis with same amplitude but with periods $3$ seconds and $6$ seconds respectively. The ratio of the velocities of $ P$ and $Q$ when they meet is
  • A
    $1:2$
  • ✓
    $2:1$
  • C
    $2:3$
  • D
    $3:2$
✓

Answer

Correct option: B.
$2:1$
b
(b) The particles will meet at the mean position when $P$ completes one oscillation and $Q$ completes half an oscillation
So $\frac{{{v_P}}}{{{v_Q}}} = \frac{{a{\omega _P}}}{{a{\omega _Q}}} = \frac{{{T_Q}}}{{{T_P}}} = \frac{6}{3} = \frac{2}{1}$

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