In YDSE light of wavelength λ = 6000Å is used screen distance D = 1 m and slit separation
d = 0.5 mm. Intensity of light on screen emerging from slits are individually I 0 and 4I 0 . Column I indicates distance of certain point P on screen from central maxima. Match the entries of columns.
Column-I | Column-II |
(i) y = 2 mm | [A] Intensity = 7I0 at P |
(ii) y = 2.2 mm | [B] Intensity = 3I0 at P |
(iii) y = 2.6 mm | [C] P lies between 2nd minima and 3rd maxima |
(iv) y = 2.8 mm | [D] P lies between 3rd minima and 2nd maxima |
Text Solution
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Ans.
(i) [B],[C]
(ii) [A],[C]
(iii) [A],[C],[D]
(iv) [B],[C],[D]
Sol.
β = 
= 1.2 mm
for 7I 0 = Ι 0 + 4Ι 0 + 
cos φ
⇒ φ = π /3 ⇒ Δ x = 
⇒ y from any maxima = 0.2 mm
for 3I 0 , φ = 120°, y = 0.4 mma
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