Question 226: Wave Optics

Question

Orange light of wavelength 6000 $$ 	imes $$ 10
–10
m illuminates a single
slit of width 0.6 $$ 	imes $$ 10
–4
m. The
maximum possible number of diffraction minima produced on both sides of the central maximum is
___________.

Accepted Answer

For minima
$$d\,\sin 	heta  = n\lambda $$
or $$\sin 	heta  = {{n\lambda } \over d}$$
$$ \because $$ maximum value of sin$$	heta $$ is 1
$$ 	herefore $$ $${{n\lambda } \over d} \le 1$$
$$n \le {d \over \lambda }$$
$$n \le {{0.6 	imes {{10}^{ - 4}}} \over {6000 	imes {{10}^{ - 10}}}}$$
$$n \le 100$$
For both sides 100 + 100 = 200

Wave Optics

Orange light of wavelength 6000 $ \times 10 –10 m illuminates a single slit of width 0.6 \times $ 10 –4 m. The maximum possible number of diffraction minima produced on both sides of the central maximum is ___________.

Integer / Numeric Answer Type