Light is incident normally on a diffraction grating through which… - Vidyadip

MCQ

Light is incident normally on a diffraction grating through which the first order diffraction is seen at $32^\circ$. The second order diffraction will be seen at

A
$48^\circ$
B
$64^\circ$
C
$80^\circ$
✓
There is no second order diffraction in this case

✓

Answer

Correct option: D.

There is no second order diffraction in this case

d
(d) 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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