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JEE Mains · Physics · STD 11 - 14. waves and sound

दो तरंगों की समीकरण निम्न है - \(y _1=5 \sin 2 \pi( x - vt )\,cm\) \(y _2=3 \sin 2 \pi( x - vt +1.5)\,cm\) दोनों तरंगें एक साथ एक रस्सी से गुजरती है। परिणामी तरंग का आयाम है \(..........\,cm\)

  1. A \(2\)
  2. B \(4\)
  3. C \(5.8\)
  4. D \(8\)
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Answer & Solution

Correct Answer

(A) \(2\)

Step-by-step Solution

Detailed explanation

\(A_{1}=5 \quad A_{2}=3\) \(\Delta \theta=2 \pi(1.5)=3 \pi\) \(A_{\text {net }}=\sqrt{A_{1}^{2}+A_{2}^{2}+2 A_{1} A_{2} \cos (3 \pi)}\) \(=\left| A _{1}- A _{2}\right|\) \(=2 \,cm\)
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