Two particles P and Q start from origin and execute Simple Harmon… - Vidyadip

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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