A Young’s double-slit setup initially produces a fringe width with slit separation

PHYSICS · Subjective · A Level · Physics · Waves · Waves

Problem

A Young’s double-slit setup initially produces a fringe width β0β_0 with slit separation d0d_0, screen distance D0D_0, and light of wavelength λ0λ_0. The arrangement is then modified as follows: • The screen is moved 25%25\% closer to the slits. • The light source is replaced by one of wavelength 1.1 λ01.1\,λ_0. • The slit separation is reduced by 20%20\%. Calculate the ratio of the new fringe width to the original fringe width (βnew/β0)(β_{\text{new}}/β_0).

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