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COMEDK · Physics · 26. Wave Optics

The wavelength of a monochromatic light which is used in single slit diffraction is 800 nm . The width of the single slit for which the first minimum appears at \(\theta=45^{\circ}\) on the screen will be:

  1. A \(1.3 \mu \mathrm{~m}\)
  2. B \(1.13 \mu \mathrm{~m}\)
  3. C \(2.13 \mu \mathrm{~m}\)
  4. D \(1.23 \mu \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.13 \mu \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

The condition for the first minimum in single slit diffraction is given by the formula \(a \sin \theta = n \lambda\), where \(a\) is the width of the slit, \(\theta\) is the angle of diffraction, \(n\) is the order of the minimum, and \(\lambda\) is the wavelength of the light.…