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Three coherent point sources S1, S2 and Sa are placed on a line perpendicular to the screen as shown in the figure. The wavelength of the light emitted by the sources is 2. The distance between adjacent sources is d = 32. The distance of S2 from the screen is D (>>2). Find the minimum(non zero) distance x of a point P on the screen at which complete darkness is obtained. Screen D >> d X S1 S2 S3 d d (B). (C) 4√5D (D) 4√2D 7 (A) 2√2D 7 √17D 8

Three coherent point sources S1, S2 and Sa are placed on a line perpendicular to the screen as shown in the figure. The wavelength of the light emitted by the sources is 2. The distance between adjacent sources is d = 32. The distance of S2 from the screen is D (>>2). Find the minimum(non zero) distance x of a point P on the screen at which complete darkness is obtained. Screen D >> d X S1 S2 S3 d d (B). (C) 4√5D (D) 4√2D 7 (A) 2√2D 7 √17D 8

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Correct answer is B. Kindly provide detailed explanation for each step and each options. 

Do not directly mention for minima path difference is 8 lambda/3. Request to derive the same mathematically. 

 

Do not copy wrong incomplete solutions submitted earlier for this question recently on chegg and bartleby portals.

 

kindly provide proper explanation with all details for each step and each options. Correct answer is B. detailed mathematical steps requested. Three coherent point sources S1, S2 and Sa are placed on a line perpendicular to the screen as shown in the figure. The wavelength of the light emitted by the sources is 2. The distance between adjacent sources is d = 32. The distance of S2 from the screen is D (>>2). Find the minimum(non zero) distance x of a point P on the screen at which complete darkness is obtained. Screen D >> d X S1 S2 S3 d d B)√17D (C) 4√5D (D) 4√2D 7 8 (A) 2√2D 7
Transcribed Image Text:kindly provide proper explanation with all details for each step and each options. Correct answer is B. detailed mathematical steps requested. Three coherent point sources S1, S2 and Sa are placed on a line perpendicular to the screen as shown in the figure. The wavelength of the light emitted by the sources is 2. The distance between adjacent sources is d = 32. The distance of S2 from the screen is D (>>2). Find the minimum(non zero) distance x of a point P on the screen at which complete darkness is obtained. Screen D >> d X S1 S2 S3 d d B)√17D (C) 4√5D (D) 4√2D 7 8 (A) 2√2D 7
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Can you explain why 8/3 lambda is condition for nearest minima.

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