We can calculate by using Young's double-slit experiment equation that the phase difference between two waves arriving at a point 0.52 cm from the center of the screen is 0.62π .
Young's double-slit experiment experiment was based on the hypothesis that if light were wave-like in nature, then it should behave in a manner similar to ripples or waves on a pond of water. Where two opposing water waves meet, they should react in a specific manner to either reinforce or destroy each other. So as we have from Young's double-slit experiment,
σ / λ = ΔΦ / 2π
σ = dsinθ
(dsinθ) / λ = ΔΦ / 2π
ΔΦ = (dsinθ)2π/λ
= (0.000035) x sinθ x 2π / 490 x 10^-9
sinθ = 0.0052/1.2
putting the values we get
ΔΦ = (9.5246x 10^-7) / (490 x 10^-9)
ΔΦ = 1.94 = 0.62π
Hence the phase difference is 0.62π .
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