A) \[\frac{d}{\lambda }\]
B) \[\frac{2\lambda }{d}\]
C) \[\frac{{{d}^{2}}}{2\lambda }\]
D) \[\frac{2{{\lambda }^{2}}}{d}\]
Correct Answer: C
Solution :
If\[D>>d,\]the linear width of the central principal maximum = angular width XD \[\therefore \]Linear width of the principal maximan\[=\frac{2\lambda D}{d}.\] The linear width of the principal maximum will be equal to slit width for a value of D given by\[\frac{2\lambda D}{d}=d\]or \[D=\frac{{{d}^{2}}}{2\lambda }.\] Hence, the correction option is [c].
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