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MHT CET · Physics · Wave Optics

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

  1. A increases with increase of slit width.
  2. B decreases with increase of slit width.
  3. C decreases with decrease of slit width.
  4. D may increase or decrease with decrease of slit width.
Verified Solution

Answer & Solution

Correct Answer

(B) decreases with increase of slit width.

Step-by-step Solution

Detailed explanation

Width of central maximum \(W_c=2\left\lfloor\frac{\lambda D}{a}\right\rfloor\)
\(\Rightarrow \mathrm{W}_{\mathrm{e}} \propto \frac{1}{\mathrm{a}}\)
\(\therefore \quad\) Angular width of principal maximum decreases with increase in width of the slit.