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The Effect of Path Difference

140 Three sou...

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140 Three sources of light A, B and C produce intensities 4I , 9I and 16I at a point P when they are switched on independently. Light from A and B are coherent and have a phase difference pi / 3 at the point P while source C, emitting at same frequency, is in coherent.The total intensity at P

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Q. Light waves from two coherent sources having intensities

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cross each other at a point with a phase difference of

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. What is the resultant intensity at the point?

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Q. In YDSE, the phase difference between two coherent sources is

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Q. (a) (i)'Two independent monochromatic sources of light cannot produce a sustained interference pattern'. Give reason.
(ii) Light wave each of amplitude "a" and frequency "

ω

", emanating from two coherent light sources superpose at a point. If the displacements due to these waves is given by

y_{1} = a c o s ω t

y_{2} = a c o s (ω t + ϕ)

ϕ

is the phase difference between the two, obtain the expression for the resultant intensity at the point.
(b) In Young's double slit experiment, using monochromatic light of wavelength

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λ

, is K units. Find out the intensity of light at a point where path difference is

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Q. (a) Why are coherent sources necessary to produce a sustained interference pattern?
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, the intensity of light at a point on the screen where path difference is

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