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MHT CET202620 April 2026Evening ShiftPhysicsWaves and SoundActual

Two sound waves each of wavelength and same amplitude A interfere at point Q . If the path difference is 4 , the amplitude of the resultant wave at point Q is [ 2 = 1, 2 = 0 ]

Options

  1. AA
  2. B2 A
  3. C3A
  4. D3 A

Correct answer

B. 2 A

Step-by-step solution

The phase difference is related to the path difference x by the formula: = 2 x Substituting x = 4 : = 2 4 = 2 The resultant amplitude A_R of two interfering waves of amplitudes A₁ and A₂ is given by: A_R = A₁^2 + A₂^2 + 2A₁A₂ Given A₁ = A₂ = A and = 2 : A_R = A^2 + A^2 + 2A^2 ( 2 ) Since ( 2 ) = 0 : A_R = 2A^2 = 2 A Answer: 2 A

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