Two particles A and B have a phase difference of when a sine wave… - Vidyadip

MCQ

Two particles $A$ and $B$ have a phase difference of $\pi$ when a sine wave passes through the region.

$A$ oscillates at half the frequency of $B.$
$A$ and $B$ move in opposite directions.
$A$ and $B$ must be separated by half of the wavelength.
The displacements at $A$ and $B$ have equal magnitudes.

A
$A$ and $B$
✓
$B$ and $D$
C
$C$ and $D$
D
None of thes

✓

Answer

Correct option: B.

$B$ and $D$

$A$ and $B$ have a phase difference of fl. So, when a sine wave passes through the region, they move in opposite directions and have equal displacement. They may be separated by any odd multiple of their wavelength.
$\overrightarrow{\text{yA}}=\text{A}\sin(\omega\text{t})$
$\overrightarrow{\text{yB}}=\text{B}\sin(\omega\text{t}+\pi)$

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