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Answer:
Option(b) - sin⁻¹ (1/4)
Explanation:
Given, Wavelength = 5500 A.
λ = 5500
First minimum is observed at angle 30°.
We know that :
First minimum in diffraction b sinθ = nλ
∴ b sin 30° = 1 * 5500
⇒ b * 1/2 = 5500
⇒ b = 11000 A.
Now,
For maxima in diffraction b sinθ = (n + 1/2)λ
∴ b sinθ = λ/2
⇒ 11000 * sinθ = (5500)/2
⇒ 11000 * sinθ = 2750
⇒ sinθ = (2750/11000)
⇒ sinθ = (1/4)
⇒ θ = sin⁻¹ (1/4)
Therefore,
Angle θ = sin⁻¹ (1/4)
Hope it helps!
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