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STANDARDPhysics-Wave Optics

STANDARD Physics Fraunhofer Diffraction MCQ Question

Type: MCQ-numerical-Hard-Class 12

In a Fraunhofer diffraction at single slit of width d with incident light of wavelength 5500 Å, the first minimum is observed, at angle 30°. The first secondary maximum is observed at an angle θ =

A

sin⁻¹(1/√2)

B

sin⁻¹(1/4)

C

sin⁻¹(3/4)

D

sin⁻¹(√3/2)

Correct Answer

Option C

Detailed Explanation

For the first secondary maximum in a single-slit diffraction pattern, the condition is d sin θ = 3λ/2. Given λ = 5500 Å = 5.5 x 10⁻⁷ m and θₙ = 30°, we find sin θₙ = 3/4, so θₙ = sin⁻¹(3/4).

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