A) 48o
B) 64o
C) 80o
D) There is no second order diffraction in this case
Correct Answer: D
Solution :
For a grating \[(e+d)\sin {{\theta }_{n}}=n\lambda \] where \[(e+d)=\] grating element \[\sin {{\theta }_{n}}=\frac{n\lambda }{(e+d)}\] For \[n=1,\] \[\sin {{\theta }_{1}}=\frac{\lambda }{(e+d)}=\sin 32{}^\circ \] This is more than 0.5. Now \[\sin {{\theta }_{2}}\] will be more than \[2\times 0.5,\] which is not possible.
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