A) \[I={{I}_{0}}\]
B) \[I=2{{I}_{0}}\]
C) \[I=4{{I}_{0}}\]
D) There is no relation between\[I\]and\[{{I}_{0}}\]
Correct Answer: C
Solution :
Suppose slit widths are equal so they produces waves of equal intensity say\[I\]. Resultant intensity at any point\[{{I}_{R}}=4I{{\cos }^{2}}\phi \]where\[\phi \]is the phase difference between the waves at the point of observation. For maximum intensity,\[\phi ={{0}^{o}}\] \[{{I}_{\max }}=4I=I\] ... (i) If one of slit is closed, resultant intensity at the same point will be\[I\] only ie \[I={{I}_{0}}\]... (ii) Comparing Eqs. (i) and (ii) we get \[I=4{{I}_{0}}\]
You need to login to perform this action.
You will be redirected in
3 sec
