Two waves 

Superimpose to form a resultant wave whose amplitude is

Answer (Detailed Solution Below)

Option 2 :
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CONCEPT:

  • Interference of Sound Waves: When two waves of the same frequency, same wavelength, same velocity (nearly equal amplitude) moves in the same direction. Then their superimposition results in the interference.
  • Due to interference, the resultant intensity of sound at that point is different from the sum of intensities due to each wave separately.

Interference is of two types:

  • Constructive interference: It increases the effective intensity or amplitude of the sound wave.
  • Destructive interference: It decreases the effective intensity or amplitude of the sound wave.

EXPLANATION:

Two waves  

Then by the principle of superposition,

y = y1 + y2

∴ The phase difference between the two waves is

        ---------- (1)

Resultant wave is

Hence option 2 is correct.

And 

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