In the figure, two isotropic point sources of light (S1 and S2) are separated by distance 3.20 pm along a y axis and emit in phase at wavelength 880 nm and at the same amplitude. A light detector is located at point Pat coordinate xp Oon the x axis. What is the greatest value of xp at which the detected light is minimum due to destructive interference? Number i Units

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In the figure, two isotropic point sources of light (S, and S2) are separated by distance 3.20 um along a y axis and emit in phase at
wavelength 880 nm and at the same amplitude. A light detector is located at point P at coordinate xp on the x axis. What is the greatest
value of xp at which the detected light is minimum due to destructive interference?
S1
P
Number
i
Units
Transcribed Image Text:In the figure, two isotropic point sources of light (S, and S2) are separated by distance 3.20 um along a y axis and emit in phase at wavelength 880 nm and at the same amplitude. A light detector is located at point P at coordinate xp on the x axis. What is the greatest value of xp at which the detected light is minimum due to destructive interference? S1 P Number i Units
Expert Solution
Given

Given:

Wavelength,λ=880nm=880×10-9mDistance between S1 to S2,y=3.20μm=3.20×10-6m

Destructive interference is a type of interference that happens when the two interfering waves have a displacement in the opposite direction at any point along with the medium.

The difference in the paths taken by the two waves is referred to as the path difference. The path difference and phase difference have a direct relationship. They have direct proportionality. The difference between the two waves' travel distances from their respective sources to a given point on the pattern.

Here,

The distance between S1 to xp is x

The distance between S2 to xp is x2+y2

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