A) \[48{}^\circ \]
B) \[64{}^\circ \]
C) \[80{}^\circ \]
D) There is no second order diffraction in this case
Correct Answer: D
Solution :
For grating \[(e+d)\text{ }sin\theta =n\lambda \] where\[(e+d)=\]grating element \[\sin {{\theta }_{n}}=\frac{n\lambda }{(e+d)}\] For\[n=1\] \[\sin \theta =\frac{\lambda }{e+d}=\sin 32{}^\circ \] Here the value of\[\sin {{\theta }_{1}}\]is more than 0.5. Now \[\sin {{\theta }_{2}}\]will be more than\[2\times 0.5\]. This is impossible.
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