Question:

A parallel beam of monochromatic light of wavelength 5000 $\mathring{A}$ is incident normally on a single narrow slit of width 0.001 mm. The light is focussed by a convex lens on a screen placed in focal plane. The first minimum will be formed for the angle of diffraction equal to

Updated On: Jul 14, 2022
  • 0$^{\circ}$
  • 15$^{\circ}$
  • 30$^{\circ}$
  • 50$^{\circ}$
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The Correct Option is C

Solution and Explanation

: For first minimum, $ a sin \theta = n \lambda = I \lambda $ $sin \theta = \frac{\lambda}{a} = \frac{ 5000 \times {10}^{-10}}{0.001 \times {10}^{-3}} = 0.5 $ $\theta = 30 ^ \circ . $
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Concepts Used:

Single Slit Diffraction

In the single-slit diffraction experiment, we can examine the bending phenomenon of light or diffraction that causes light from a coherent source to hinder itself and produce an extraordinary pattern on the screen called the diffraction pattern.

Single Slit Diffraction
The path difference exhibited by the top two rays

 

 

 

Read More: Difference Between Diffraction and Interference

Central Maximum

Central Maximum