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

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प्रश्न

Two particles A and B have a phase difference of π when a sine wave passes through the region.
(a) A oscillates at half the frequency of B.
(b) A and B move in opposite directions.
(c) A and B must be separated by half of the wavelength.
(d) The displacements at A and B have equal magnitudes.

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उत्तर

(b) A and B move in opposite directions.
(d) The displacements at A and B have equal magnitudes.

A and B have a phase difference of π. 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.
\[\vec{y_A} = A\sin\left( \omega t \right)\]
\[\vec{y_B}  = B\sin\left( \omega t + \pi \right)\]

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अध्याय 15: Wave Motion and Waves on a String - MCQ [पृष्ठ ३२३]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 15 Wave Motion and Waves on a String
MCQ | Q 6 | पृष्ठ ३२३

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