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Four coherent sources of light of same intensity I_(0) and in same phase are placed on a line perpendicular to a large screen as shown in figure.The whole arrangement is placed in air. Assuming the net intensity at any point on screen is average (mean) of resultant intensities from both sides and point O lies on the screen and on the line joining the sources.?
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Four coherent sources of light of same intensity I_(0) and in same pha...
Explanation:


  • Four coherent sources of light of same intensity I0 and in same phase are placed on a line perpendicular to a large screen as shown in the figure.

  • The interference pattern produced on the screen is due to the superposition of waves from all four sources.

  • At point O, the net intensity is the sum of the intensities due to the sources on both sides of the point.

  • Assuming the sources are equidistant from each other, the intensity at point O due to the sources on one side of the point is I0 cos2(θ/2) where θ is the angle between the line joining the sources and the line joining the point and the source.

  • Since the sources are in phase, the phase difference between any two adjacent sources is zero.

  • Hence, the net electric field at point O due to the sources on one side of the point is given by E = 2I0 cos(θ/2).

  • The net intensity at point O is proportional to the square of the net electric field, hence the net intensity at point O is given by I = 4I0 cos2(θ/2).

  • Since the sources are equidistant from each other, θ is the same for all sources, hence the net intensity at point O is constant.

  • Therefore, the net intensity at any point on the screen is the same as the intensity at point O.

  • Therefore, the net intensity at any point on the screen is given by I = 4I0 cos2(θ/2).

  • Since the sources are equidistant from each other, the angle θ is also the same for all sources, hence the net intensity at any point on the screen is constant.

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Four coherent sources of light of same intensity I_(0) and in same phase are placed on a line perpendicular to a large screen as shown in figure.The whole arrangement is placed in air. Assuming the net intensity at any point on screen is average (mean) of resultant intensities from both sides and point O lies on the screen and on the line joining the sources.?
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Four coherent sources of light of same intensity I_(0) and in same phase are placed on a line perpendicular to a large screen as shown in figure.The whole arrangement is placed in air. Assuming the net intensity at any point on screen is average (mean) of resultant intensities from both sides and point O lies on the screen and on the line joining the sources.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Four coherent sources of light of same intensity I_(0) and in same phase are placed on a line perpendicular to a large screen as shown in figure.The whole arrangement is placed in air. Assuming the net intensity at any point on screen is average (mean) of resultant intensities from both sides and point O lies on the screen and on the line joining the sources.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four coherent sources of light of same intensity I_(0) and in same phase are placed on a line perpendicular to a large screen as shown in figure.The whole arrangement is placed in air. Assuming the net intensity at any point on screen is average (mean) of resultant intensities from both sides and point O lies on the screen and on the line joining the sources.?.
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