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CBSE Class 12-science Answered

find the intensity at a point on a screen in young double slit experiment where the interfering wave of equal intensity have have a path difference of lemda/4,lemda/3
Asked by tannusharan31 | 05 Nov, 2023, 05:31: PM
answered-by-expert Expert Answer
Let begin mathsize 14px style text I end text subscript 1 end style and begin mathsize 14px style straight I subscript 2 end style are the intensities of two waves that are interfering in double slit experiment.
 
Resultant Intensity begin mathsize 14px style straight I subscript straight R end style is given as
 
begin mathsize 14px style straight I subscript straight R space equals space straight I subscript 1 plus space straight I subscript 2 plus 2 square root of straight I subscript 1 space straight I subscript 2 end root space cos theta end style  .........................(1)
 
where θ is phase difference between the waves .
 
If path difference between waves is λ/4 , where λ is wavelength , then phase difference θ = (2π)/4 = π/2 .
 
If each wave has equal intensity begin mathsize 14px style straight I end style and path difference between waves is λ/4 , then we get resultant
intensity from eqn.(1) as
 
begin mathsize 14px style straight I subscript straight R space equals space straight I plus space straight I plus 2 space straight I space cos left parenthesis pi divided by 2 right parenthesis space equals space 2 space straight I end style
 
----------------------------------------------------
 
If path difference between waves is λ/3 , where λ is wavelength , then phase difference θ = (2π)/3.
 
If each wave has equal intensity begin mathsize 14px style straight I end style and path difference between waves is λ/3 , then we get resultant
intensity from eqn.(1) as
 
begin mathsize 14px style straight I subscript straight R space equals space straight I plus space straight I plus 2 space straight I space cos left parenthesis 2 pi divided by 3 right parenthesis space equals space straight I space plus space straight I space minus space straight I space equals space straight I end style



 
 
 
Answered by Thiyagarajan K | 05 Nov, 2023, 07:50: PM

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CBSE 12-science - Physics
find the condition for constructive and destructive interference .how does the intensity depend on the width of slit?  
Asked by shivamtkr7767 | 03 Mar, 2024, 12:45: PM
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CBSE 12-science - Physics
find the intensity at a point on a screen in young double slit experiment where the interfering wave of equal intensity have have a path difference of lemda/4,lemda/3
Asked by tannusharan31 | 05 Nov, 2023, 05:31: PM
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CBSE 12-science - Physics
In Young's double slit experiment, the two slits are separated by 0.28mm and the screen is placed at a distance of 1.4m away from the slits. the distance between the centre fringe and the fifth dark fringe is measured to be 1.35cm . calculate the wavelength of light used. Also find the fringe width if the screen is moved 0.4m towards the slits, for the same experiment set up.
Asked by mrwballari999 | 03 Jan, 2023, 09:33: AM
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CBSE 12-science - Physics
if separation between the two slits is increased till fringes are observed then what will happen to angular separation of fringes (my thought is here  fringes are not observed  and they are increasing till fringes show up ...so until then what will happen to angular width if we increase d-slit separation..does angular width increases or remains same  
Asked by neetaspirantdoctor | 20 May, 2022, 03:57: PM
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CBSE 12-science - Physics
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Asked by aryanshahi903 | 09 Apr, 2021, 06:14: AM
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CBSE 12-science - Physics
two coherent lights with of intensity 5 into 10 to power per to permit your each superimpose and produce the interference pattern on a screen at a point where the path difference between the wave is Lambda divided by 6 where Lambda is the wavelength of the wave find the first phase difference between wave second resultant intensity at the point
Asked by nehadevi2728 | 19 Mar, 2021, 03:56: PM
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CBSE 12-science - Physics
We for equal wave intensities the intensity at a point is given by straight I to the power of apostrophe equals 4 Icos squared open parentheses straight ϕ over 2 close parentheses but where does the formula straight I to the power of apostrophe equals Icos squared open parentheses straight ϕ over 2 close parentheses come from??
Asked by deepsmooth41 | 19 Apr, 2020, 01:00: AM
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CBSE 12-science - Physics
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