Asked in GIKI Mock Test 1

In interference pattern energy is?

Correct answer: C. Conserved but redistributed

  • A. Created at the maximum position
  • B. Destroyed at the position of minimum
  • C. Conserved but redistributed
  • D. Both conserved

Explanation

Ar = A1 + A2 (Constructive)Ar = A1 - A2 (Destructive)As the intensity is directly propotional to square of amplitudeI = k.A2 (k=1)I = A2Imax = (A1 + A2)2Imin = (A1 - A2)2A = A1 = A2 Imax = (A + A)2 =>Imax = (2A)2 =>Imax = 4A2Imin = (A - A)2 =>Imin = (0)ITotal = Imax + IminITotal = 4A2 + 0Itotal= 4A²Mathematically the total energy before and after interference remains the same just redistribute

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About Superposition and Interference

Superposition states that overlapping waves produce a resultant displacement equal to the algebraic sum of their individual displacements. Interference covers constructive and destructive interference, phase difference, path difference, coherent sources, and conditions for maxima and minima. It differs from diffraction, which involves spreading around openings or obstacles.

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