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MHT CET 2026 (16 Apr, Shift 2) · YDSE: Film, Medium & Two Wavelengths

YDSE: Film, Medium & Two Wavelengths question from MHT CET 2026 (16 Apr, Shift 2)

Q19MHT CET 2026 · 16 APR · SHIFT 2Medium

YDSE: Film, Medium & Two Wavelengths

In Young's double slit experiment, two slits are illuminated with a light of wavelength λ\lambda. The line joining A1PA_1 P is perpendicular to A1A2A_1 A_2 as shown in figure. If the first minimum is detected at P, the value of slits separation 'a' will be

(D = distance between source and screen)

Figure

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Answer: (b)

  1. Path difference at P: A2P−A1P=D2+a2−D≈a22DA_2P - A_1P = \sqrt{D^2 + a^2} - D \approx \dfrac{a^2}{2D}.
  2. First minimum: a22D=λ2⇒a=λD\dfrac{a^2}{2D} = \dfrac{\lambda}{2} \Rightarrow a = \sqrt{\lambda D}
  3. So the answer is (b) λD\sqrt{\lambda D}.
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