The red light of wavelength 5400 A ∘ from a distant source falls on a slit 0 .80 mm wide. Calculate the distance between the first two dark bands on each side of the central bright band in the diffrac

Question

The red light of wavelength 5400 A ∘ from a distant source falls on a slit 0 .80 mm wide. Calculate the distance between the first two dark bands on each side of the central bright band in the diffraction pattern observed on a screen place 1 .4 m from the slit.

TestHub · Accepted Answer

Here wavelength λ = 5400 A ∘ = 5.4 × 10 - 7 m , a = 0 .80 mm = 8 × 10 - 4 m , D = 1 .4 m ∴ Distance between the first two dark bands on each side of central maximum is the width of central maximum = 2 x = 2 λ D d = 2 × 5.4 × 10 - 7 × 1.4 8 × 10 - 4 = 1 .89 × 10 - 3 m = 1 .89 mm

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