question_answer

If\[{{I}_{0}}\]is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?     AIEEE  Solved  Paper-2005

A) \[2\,{{l}_{0}}\]    

B)                       \[4{{l}_{0}}\]                     

C) \[{{l}_{0}}\]        

D)        \[\frac{{{l}_{0}}}{2}\]

Correct Answer: C

Solution :

Hence, intensity can be given by \[l={{l}_{0}}{{\left( \frac{\sin \theta }{\theta } \right)}^{2}}\] and For principal maximum,            Hence, intensity will remain same as