A) \[\frac{{{I}_{0}}}{2}\]
B) \[\frac{3}{4}{{I}_{0}}\]
C) \[{{I}_{0}}\]
D) \[\frac{{{I}_{0}}}{4}\]
Correct Answer: A
Solution :
\[\,\Delta x\,\,at\,\,P=\frac{dx}{D}\,=\,\,\frac{{{d}^{2}}}{2D}\,\,=\,\,\frac{{{(5\lambda )}^{2}}}{2\times 10\times d}\] \[\,\Delta x\,\,=\,\,\frac{{{(5\lambda )}^{2}}}{2\times 10\times 5\lambda }\,\,=\,\,\frac{\pi }{4}\] \[\,\Delta \phi \,\,=\,\frac{2\pi }{\lambda }\,\times \Delta x=\frac{\pi }{2}\] \[{{I}_{0}}\,=\,4I\,\,\Rightarrow \,\,I=\frac{{{I}_{0}}}{4}\] \[{{I}_{net}}\,\,=\,I+I+2\,\,\sqrt{I}\,\,\sqrt{I}\,\cos \,\,\frac{\pi }{2}\,\,=\,\,2I\,=\,\,\frac{{{I}_{0}}}{2}\]You need to login to perform this action.
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