Question 334: Waves Optics

Question

A beam of light of wavelength $$600 \mathrm{~nm}$$ from a distant source falls on a single slit $$1 \mathrm{~mm}$$ wide and the resulting diffraction pattern is observed on a screen $$2 \mathrm{~m}$$ away. The distance between the first dark fringe on either side of the central bright fringe is

Accepted Answer

The distance between the central bright fringe and the first dark fringe is given as:
$$\begin{aligned}
y_{n_d} & =\frac{n \lambda D}{d} \
y_{1_d} & =\frac{1 	imes 600 	imes 10^{-9} 	imes 2}{10^{-3}} \
& =1.2 	imes 10^{-3}=1.2 \mathrm{~mm}
\end{aligned}$$
$$	herefore \quad$$ The distance between the first dark fringe on either side of the central bright fringe is $$2 \mathrm{y}_{\mathrm{n}}=2 	imes 1.2=2.4 \mathrm{~mm}$$

Answer

1.2 mm

Answer

2.4 mm

Answer

1.2 cm

Answer

2.4 cm

Waves Optics

A beam of light of wavelength $600 \mathrm{~nm} from a distant source falls on a single slit 1 \mathrm{~mm} wide and the resulting diffraction pattern is observed on a screen 2 \mathrm{~m}$ away. The distance between the first dark fringe on either side of the central bright fringe is

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