In a diffraction pattern due to a single slit of width a the first minimum is observed at an angle 30 o when…

In a diffraction pattern due to a single slit of width a the first minimum is observed at an angle 30o when light of wavelength 5000 Å is incident on the slit. The first secondary maximum is observed at an angle of:
  1. sin-1⁡14
  2. sin-1⁡23
  3. sin-1⁡12
  4. sin-1⁡34

Solution

asin⁡30=λ
asin⁡θ=3λ2
sin⁡θsin⁡30=32
sin⁡θ=32×12
sin⁡θ=34
θ=sin-1⁡34

Asked in: NEET 2016 (Phase 1)

Practice more Wave Optics questions on Aicharya