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NEET 2016
Exam
NEET
Year
2016
Subject
Physics
Chapter
Wave Optics

NEET 2016 · Physics · Wave Optics

In a diffraction pattern due to a single slit of width a the first...

In a diffraction pattern due to a single slit of width aa the first minimum is observed at an angle 30o{30}^{o} when light of wavelength 5000Å5000Å is incident on the slit. The first secondary maximum is observed at an angle of:

Options

  1. Asin⁡−1(14)\sin^{- 1} \left(\dfrac{1}{4}\right)
  2. Bsin⁡−1(23)\sin^{- 1} \left(\dfrac{2}{3}\right)
  3. Csin⁡−1(12)\sin^{- 1} \left(\dfrac{1}{2}\right)
  4. Dsin⁡−1(34)\sin^{- 1} \left(\dfrac{3}{4}\right)

Correct answer

D. sin⁡−1(34)\sin^{- 1} \left(\dfrac{3}{4}\right)

Step-by-step solution

asin30=λasin 30 = \lambda

asinθ=3λ2asin \theta = \dfrac{3\lambda}{2}

sinθsin⁡30=32\dfrac{sin \theta}{\sin 30} = \dfrac{3}{2}

sinθ=32×12sin \theta = \dfrac{3}{2} \times \dfrac{1}{2}

sinθ=34sin \theta = \dfrac{3}{4}

θ=sin⁡(34)\theta = \sin \left(\dfrac{3}{4}\right)

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