Three coherent point sources S1, Sz 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 = 3). 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. %3D Screen D >> d Si S2 S3 d d 2/2D (A) 17D (C) 4/5D (D) 4/2D 8

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Kindly share detailed explanation for each step.  Do not start with path difference for minima = 8 lambda/3. 

 

Kindly derive path difference  =8 lambda/3 from first principle.

 

Do not copy wrong incomplete solution submitted earlier on this and other portal.

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 = 3). 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
Si S2
S3
d
d
B V17D
8
2/2D
4/2D
(A)
7
(C) 45D (D)
7
Transcribed Image Text: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 = 3). 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 Si S2 S3 d d B V17D 8 2/2D 4/2D (A) 7 (C) 45D (D) 7
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