A single slit Fraunhofer diffraction pattern is formed with white light, for what wavelength of light, the third secondary maximum in the diffraction pattern coincides with the second secondary maximum in the pattern for the red light of wavelength 6500 A ∘ ?

Question

A single slit Fraunhofer diffraction pattern is formed with white light, for what wavelength of light, the third secondary maximum in the diffraction pattern coincides with the second secondary maximum in the pattern for the red light of wavelength 6500 A ∘ ?, 9100 A ∘, 4642 A ∘, 4100 A ∘, 4400 A ∘

MARKS App · Accepted Answer

∵ x = ( 2 n + 1 ) 2 a λ D For red light, x = ( 4 + 1 ) 2 a × 6500 A ∘ × D For other light, x = ( 6 + 1 ) 2 a D × λ ∵ x is the same for each ∴ 5 × 6500 = 7 λ λ = 5 7 × 6500 = 4642. 8 A ∘

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