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In the figure, two isotropic point sources of light ( S 1 and S 2 ) are separate

ID: 1265601 • Letter: I

Question

In the figure, two isotropic point sources of light (S1 and S2) are separated by distance 2.40 ?m 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?

In the figure, two isotropic point sources of light (S1 and S2) are separated by distance 2.40 ?m 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?

Explanation / Answer

The greatest value of xP is,

             xP = [d2/wavelength] [wavelength / 4]

                  = [(2.4x10-6 m)2 / 880x10-9 m] - [880x10-9 m / 4]

                  = 6.3x10-6 m

                  = 6.3 um

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