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Two Sine Waves Travel in the Same Direction in a Medium. the Amplitude of Each Wave is a and the Phase Difference Between the Two Waves is 120°. the Resultant Amplitude Will Be

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प्रश्न

Two sine waves travel in the same direction in a medium. The amplitude of each wave is A and the phase difference between the two waves is 120°. The resultant amplitude will be

विकल्प

  •  A

  •  2A

  • 4A

  • \[\sqrt{2}A\]

MCQ
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उत्तर

 A
We know the resultant amplitude is given by

\[R_{net}  = \sqrt{A^2 + A^2 + 2 A^2 \cos  120 ^\circ\ }    (\phi = 120^\circ\ )\] 

\[ = \sqrt{2 A^2 - A^2} \left[ \because \cos  120 ^\circ= \frac{- 1}{2} \right]\] 

\[ = A\]

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अध्याय 15: Wave Motion and Waves on a String - MCQ [पृष्ठ ३२२]

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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 17 | पृष्ठ ३२२

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