Q29 / 107 · NTA Abhyas (JEE Main) 2020 · Physics · Wave Optics

In standard Young's double-slit experiment, visible light λ∈350nm, 750nm is used in both the slits. Distance between the slits is 2 mm, and the distance of the screen from the slits is 1 m. A thin glass slab μ = 1.5  of thickness 6 μm is placed in front of slit S2. Which among the following wavelengths is missing at point P, which is directly in front of slit S2?(Neglect dispersion of light)


            Figure

  • Correct answer
    A
    400 nm
  • B
    500 nm
  • C
    600 nm
  • D
    700 nm

Solution

Net path difference = μ - 1 t - yd D

=32-16 μm-d/2dD=1 μm

For Destructive interference

Δx=1 μm=2n+1λ2⇒λ=22n+1 μm

λ = 2000 nm 2 + 1 = 2000 3            ( n=1 )

λ=2000 nm4+1=20005nm=400 nm      ( n=2 )

Hence, the correct answer is option: 'A'.

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