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Two coherent light waves of intensity 5xx10^(-2)W m^(-2) each super - impose and produce the interference pattern on a screen. Ata point where the path difference between the waves is lamda/6, lamda being wavelength of the wave, find the (a) phase difference between the waves. (b) resultant intensity at the point. (c) resultant intensity in terms of the intensity at the maximum. |
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Answer» Solution :(a) Here intensity of each wave `I= 5xx 10^(-2) WM^(-2)` and path DIFFERENCE `Deltax=lamda/6` . (a) Phase difference between the waves `phi=(2PI)/lamda xxDeltax=(2pi)/lamdaxxlamda/6=pi/3" or "60^@` (b) RESULTANT intensity `I_R=4Icos^2(phi/2)=4xx5xx10^(-2)xx(cospi/6)^2=4xx5xx10^(-2)xx(sqrt3/2)^2` `=0.15 W m^(-2)` (c) Maximum intensity `I_0=4Iimplies(I_R)/(I_0)=cos^(2)""phi/2=(cos""pi/2)^2=3/4" or "I_R=3/4I_0=0.75I_0` |
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