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MHT CET · Physics · Wave Optics

In a single slit experiment, the width of the slit is doubled. Which one of the following statements is correct?

  1. A The intensity and width of the central maximum are unaffected.
  2. B The intensity remains same and angular width becomes half.
  3. C The intensity and angular width both are doubled.
  4. D The intensity increases by a factor 4 and the angular width decreases by a factor of \(\frac{1}{2}\).
Verified Solution

Answer & Solution

Correct Answer

(D) The intensity increases by a factor 4 and the angular width decreases by a factor of \(\frac{1}{2}\).

Step-by-step Solution

Detailed explanation

For single slit diffraction, Fringe width \(\mathrm{W}=\frac{\lambda \mathrm{D}}{\mathrm{d}}\) Also, \(I \propto D^2\)
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