A) \[\frac{I}{2}\]
B) \[I\]
C) \[\frac{I}{4}\]
D) \[\frac{I}{3}\]
Correct Answer: C
Solution :
The intensity at the centre is constructive i.e., \[I={{({{A}_{1}}+{{A}_{2}})}^{2}}.\] In Youngs double slit experiment \[{{A}_{1}}={{A}_{2}}=A=\]amplitude of waves passing through the identical slit So, \[I=4{{A}^{2}}\] ?(1) If one slit is closed, the remaining intensity \[I={{A}^{2}}\] ?(2) Hence, from Eqs. (1) and (2), we obtain \[I=I/4\]You need to login to perform this action.
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