Q145 / 160 · TS EAMCET 2021 (04 Aug Shift 1) · Physics

What would be the angular separation between the consecutive bright fringes in Young's double slit experiment with blue green light of wavelength 400 nm? The separation between the slits is 0.001 m.

  • Correct answer
    A
    4×10-4rad
  • B
    3×10-4rad
  • C
    2×10-4rad
  • D
    1×10-4rad

Solution

Given, in Young's double-slit experiment, the wavelength of light (λ)=500 nm the separation between slits (d)=1·0×10-3 m

Figure

In the above figure, θ=angles fringe width

since θ is a small angle, therefore θ ≃ tanθ=yD=λDdD=λd

θ=4×10-7m1·0×10-3m=4×10-4 rad.

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

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