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MHT CET2016PhysicsWave Optics

Two coherent sources P and Q produce interference at point A on the screen where there is a dark band which is formed between 4 t h bright band and 5 t h bright band. Wavelength of light used is 6000 Å . The difference between P A and Q A is

Options

  1. A1.4 × 10 - 4 c m
  2. B2.7 × 10 - 4 c m
  3. C4.5 × 10 - 4 c m
  4. D6.2 × 10 - 4 c m

Correct answer

B. 2.7 × 10 - 4 c m

Step-by-step solution

Here ∆ x = λ δ 2 π For n = 4 t h dark b and δ = 2 n + 1 π ⇒ δ = 8 + 1 π = 9 π ∆ x = λ . 9 π 2π = 9 2 × λ = 9 2 × 6 × 10 - 7 = 2.7 × 10 - 6 m = 2.7 × 10 - 4 c m

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