Physics Circle home Student Login

Home›Chapters›Wave Optics PYQs›Diffraction at a Single Slit›Question 55

JEE Main 2022 (24 Jun, Shift 1) · Diffraction at a Single Slit

Diffraction at a Single Slit question from JEE Main 2022 (24 Jun, Shift 1)

Q55JEE Main 2022 · 24 JUN · SHIFT 1Medium

Diffraction at a Single Slit

Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen is 2.0 m. The separation between the positions of the first maxima of diffraction pattern obtained in the two cases is ___________ ×\times 10−-5 m.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 3

  1. First maximum: y=3λD2ay = \dfrac{3\lambda D}{2a}, so Δy=3D Δλ2a\Delta y = \dfrac{3D\,\Delta\lambda}{2a}
  2. Δy=3×2.0×5×10−92×0.5×10−3=3×10−5\Delta y = \dfrac{3 \times 2.0 \times 5 \times 10^{-9}}{2 \times 0.5 \times 10^{-3}} = 3 \times 10^{-5} m
  3. So the answer is 33 (i.e. 3×10−53 \times 10^{-5} m).
Report a mistake

More questions on Diffraction at a Single Slit