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  4. Red light of wavelength 6500 mathringA from a distant source falls on a slit 0.5 mm wide. What will be the distance between the two dark bands on each side of central bright band of the diffraction pattern observed on a screen placed 1.8 from the slit?

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Q. Red light of wavelength $6500 \,\mathring{A}$ from a distant source falls on a slit $0.5\, mm$ wide. What will be the distance between the two dark bands on each side of central bright band of the diffraction pattern observed on a screen placed $1.8$ from the slit?

Wave Optics

Solution:

Distance $=\frac{2 \lambda D }{ d }=\frac{2 \times 6500 \times 10^{-10} \times 1.8}{0.5 \times 10^{-3}}$
Distance $=4.68 \times 10^{-3} m =4.68 \,mm$