Two particles undergo SHM along parallel lines with the same time… - Vidyadip

MCQ

Two particles undergo $SHM$ along parallel lines with the same time period $(T)$ and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time

A
$T/8$
✓
$3T/8$
C
$T/6$
D
$4T/3$

✓

Answer

Correct option: B.

$3T/8$

b
$\mathrm{x}_{1}=\mathrm{A} \cos \omega \mathrm{t}$

$\mathrm{x}_{2}=-\mathrm{A} \sin \omega \mathrm{t}$

if they will cross each other

$X_{1}=X_{2}$

for crossing first time

time $=\frac{3 \mathrm{T}}{8}$

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