If two traveling waves, given by 𝑦 1 =𝐴 0 sin(α𝑘𝑥 -𝜔𝑡) and 𝑦 2 =𝐴 0 sin(α𝑘𝑥 − β𝜔𝑡) are superposed, which of the following statements is correct?

For α= β=2, the carrier frequency of the resultant wave is \(\frac{3}{2}\) 𝜔

For α= β=2, the carrier frequency of the resultant wave is 3𝜔

For α= β=2, the carrier frequency of the resultant wave is \(\frac{3}{2}\) 𝜔

For α= β=2, the carrier frequency of the resultant wave is 3𝜔

Question:

If two traveling waves, given by
𝑦₁=𝐴₀ sin(α𝑘𝑥 -𝜔𝑡) and 𝑦₂=𝐴₀ sin(α𝑘𝑥 − β𝜔𝑡)
are superposed, which of the following statements is correct?

Updated On: Oct 1, 2024

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The correct option is (C): For α= β=-1, the resultant wave is a standing wave

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