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?

• A. For α= β=1, the resultant wave is a standing wave
• B. For α= β=-1, the resultant wave is a standing wave
• C. For α= β=2, the carrier frequency of the resultant wave is $\frac{3}{2}$𝜔
• D. For α= β=2, the carrier frequency of the resultant wave is 3𝜔

Answer 1

Answer: (C)

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

Answer 2

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